CN113469541A - Method, device, equipment and storage medium for evaluating intercity rail transit coordination - Google Patents
Method, device, equipment and storage medium for evaluating intercity rail transit coordination Download PDFInfo
- Publication number
- CN113469541A CN113469541A CN202110774715.2A CN202110774715A CN113469541A CN 113469541 A CN113469541 A CN 113469541A CN 202110774715 A CN202110774715 A CN 202110774715A CN 113469541 A CN113469541 A CN 113469541A
- Authority
- CN
- China
- Prior art keywords
- urban
- city
- total
- rail transit
- road network
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
- 238000000034 method Methods 0.000 title claims abstract description 43
- 238000003860 storage Methods 0.000 title claims abstract description 15
- 238000011156 evaluation Methods 0.000 claims abstract description 23
- 230000005484 gravity Effects 0.000 claims abstract description 16
- 238000004379 similarity theory Methods 0.000 claims abstract description 14
- 238000004519 manufacturing process Methods 0.000 claims description 48
- 238000004364 calculation method Methods 0.000 claims description 23
- 238000004590 computer program Methods 0.000 claims description 13
- 230000011218 segmentation Effects 0.000 claims description 5
- 238000010586 diagram Methods 0.000 description 6
- 238000011161 development Methods 0.000 description 5
- 230000018109 developmental process Effects 0.000 description 5
- 230000006870 function Effects 0.000 description 4
- 230000008569 process Effects 0.000 description 4
- 230000004044 response Effects 0.000 description 4
- 238000011158 quantitative evaluation Methods 0.000 description 3
- 230000002457 bidirectional effect Effects 0.000 description 2
- 230000008859 change Effects 0.000 description 2
- 238000001514 detection method Methods 0.000 description 2
- 238000005516 engineering process Methods 0.000 description 2
- 230000003993 interaction Effects 0.000 description 2
- 230000001788 irregular Effects 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 238000013139 quantization Methods 0.000 description 2
- 238000010276 construction Methods 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 239000006185 dispersion Substances 0.000 description 1
- 238000009826 distribution Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 230000002349 favourable effect Effects 0.000 description 1
- 230000006872 improvement Effects 0.000 description 1
- 230000010354 integration Effects 0.000 description 1
- 230000005012 migration Effects 0.000 description 1
- 238000013508 migration Methods 0.000 description 1
- 230000003287 optical effect Effects 0.000 description 1
- 230000005855 radiation Effects 0.000 description 1
- 238000011160 research Methods 0.000 description 1
- 238000007619 statistical method Methods 0.000 description 1
Images
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q10/00—Administration; Management
- G06Q10/06—Resources, workflows, human or project management; Enterprise or organisation planning; Enterprise or organisation modelling
- G06Q10/063—Operations research, analysis or management
- G06Q10/0639—Performance analysis of employees; Performance analysis of enterprise or organisation operations
- G06Q10/06393—Score-carding, benchmarking or key performance indicator [KPI] analysis
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q50/00—Information and communication technology [ICT] specially adapted for implementation of business processes of specific business sectors, e.g. utilities or tourism
- G06Q50/10—Services
- G06Q50/26—Government or public services
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02A—TECHNOLOGIES FOR ADAPTATION TO CLIMATE CHANGE
- Y02A30/00—Adapting or protecting infrastructure or their operation
- Y02A30/60—Planning or developing urban green infrastructure
Landscapes
- Business, Economics & Management (AREA)
- Human Resources & Organizations (AREA)
- Engineering & Computer Science (AREA)
- Strategic Management (AREA)
- Development Economics (AREA)
- Educational Administration (AREA)
- Economics (AREA)
- Tourism & Hospitality (AREA)
- General Physics & Mathematics (AREA)
- General Business, Economics & Management (AREA)
- Theoretical Computer Science (AREA)
- Entrepreneurship & Innovation (AREA)
- Marketing (AREA)
- Physics & Mathematics (AREA)
- Game Theory and Decision Science (AREA)
- Quality & Reliability (AREA)
- Operations Research (AREA)
- Health & Medical Sciences (AREA)
- General Health & Medical Sciences (AREA)
- Primary Health Care (AREA)
- Financial Or Insurance-Related Operations Such As Payment And Settlement (AREA)
- Management, Administration, Business Operations System, And Electronic Commerce (AREA)
Abstract
The embodiment of the invention provides an assessment method, device, equipment and storage medium for intercity rail transit coordination, and relates to the technical field of inter-city group rail transit assessment. The evaluation method comprises the following steps: s1, acquiring the rail transit network and the city information in the urban group planning area. S2, according to the rail transit network and the city information, the city feature set is obtained. And S3, acquiring the center coordinates of the urban group in the urban group planning area based on the gravity center method according to the urban feature set. And S4, generating a plurality of equidistant concentric circles in the planned area of the urban group by taking the central coordinate of the urban group as the center of a circle, and acquiring the sum of the characteristic quantities in the equidistant concentric circles. And S5, calculating the fractal dimension of each feature according to the sum of the feature quantities and based on a self-similarity theory. And S6, obtaining a proportional matching factor between the rail transit network in the urban grouping planning area and the urban grouping scale according to the fractal dimension. And S7, quantitatively evaluating the coordination between the rail transit network and the urban mass according to the scale matching factor.
Description
Technical Field
The invention relates to the technical field of urban inter-group rail transit evaluation, in particular to an evaluation method, device, equipment and storage medium for inter-city rail transit coordination.
Background
With the development of society, developed cities drive surrounding cities to form urban groups, which is an inevitable trend. The rail transit is used as an important traffic mode in an urban group, is favorable for playing the leading role of the urban group scale and promotes the coordinated development of a three-dimensional comprehensive traffic hub in a planned area. Therefore, the integration level of the urban group and the rail transit network has a higher importance, and becomes a hot content of interest in the research field nowadays.
The rail transit road network provides links for urban group expansion and inter-urban resource migration, the urban group scale is increased, the planning layout and construction of the rail transit road network are influenced while the development of the inner cities tends to be balanced, and the rail transit road network and the urban group have interaction and bidirectional coordinated development internal relation.
As the geometric form of the urban rail transit road network and the urban mass data distribution have the characteristics of irregularity, complexity and dispersion, the quantitative evaluation by adopting the traditional statistical method has certain defects and shortcomings, which are specifically shown in the following steps: 1. the statistics are numerous and different in dimension and scale; 2. the relevance between the statistic and the characteristic quantity cannot be established, most of the relevance is qualitative description, and the scale coordination indexes of the rail transit network and the urban mass and the implementation method thereof are not quantitatively evaluated.
In view of the above, the applicant has specifically proposed the present application after studying the existing technologies.
Disclosure of Invention
The invention provides an evaluation method, device, equipment and storage medium for intercity rail transit coordination, which aims to solve the problem that indexes for quantitatively evaluating the scale coordination of a rail transit network and an urban group in the related technology are lacked.
In a first aspect, an embodiment of the present invention provides a method for evaluating inter-city rail transit coordination, including:
s1, acquiring a rail transit network and city information in the urban group planning area;
s2, acquiring a city feature set according to the rail transit road network and the city information; the city feature set comprises geographic coordinates, road network length, population quantity, production value and public financial budget income of each city;
s3, acquiring urban group center coordinates in the urban group planning region based on a gravity center method according to the urban feature set;
s4, generating a plurality of equidistant concentric circles in the planned area of the urban group by taking the central coordinate of the urban group as the center of a circle, and acquiring the sum of the characteristic quantities in the equidistant concentric circles; wherein, the total characteristic quantity is the total length of the road network in the equidistant concentric circles and the total population number; total production value and total public financial budget income;
s5, calculating the fractal dimension of each feature according to the sum of the feature quantities and based on a self-similarity theory;
s6, obtaining a proportional matching factor between the rail transit network in the urban area planning area and the urban area scale according to the fractal dimension;
and S7, quantitatively evaluating the coordination between the rail transit network and the urban mass according to the proportion matching factor.
Optionally, the center coordinates (G) of the urban group are obtained based on a barycentric methodx,Gy) The calculation model of (a) is:
wherein G isxAnd GyRespectively are the horizontal and vertical coordinates of the center of gravity of the city group, n is the total number of the cities, i is the serial number of the cities, Pi、Ci、RiThe population number and the region of the ith cityProduction value, public financial budget income, xiAnd yiRespectively the geographical coordinates of the cities in the urban group.
Optionally, step S4 specifically includes:
s41, acquiring length L of the urban area planning regionxWidth L ofyAnd the number m of equidistant division points, and calculating the radius of the equidistant concentric circles; wherein, the calculation model of the radius is as follows: rjis the radius of the jth equidistant concentric circle, j is the serial number of the equidistant concentric circle, LxAnd LyRespectively planning the length and the width of the area for the city group, wherein m is the number of equidistant segmentation points in the area for the city group;
s42, generating a plurality of equidistant concentric circles in the urban grouping planning area according to the radius;
s43, according to the geographic coordinates, obtaining the urban features in the equidistant concentric circles, and calculating the feature quantity total T of the urban featuresk(Xk,j) (ii) a Wherein,Xk,ja characteristic vector consisting of the total length of the road network, the total population number, the total production value and the total income of the public financial budget in the jth concentric circle, j is the serial number of equidistant concentric circles, TkAnd the accumulated value of the kth characteristic quantity in the jth concentric circle is shown, k is the number of the characteristic quantities in the vector, k is 4, and m is the number of equidistant dividing points of the urban group planning area.
Optionally, step S5 specifically includes:
s51, based on self-similarity theory, according to the radius of the equidistant concentric circles and the sum of the characteristic quantities, fitting a straight line slope under logarithmic coordinates to obtain the fractal dimension of each characteristic; wherein the fitting model is as follows:
logTk(Xk,j)=logc+Dklogrj
Xk,ja characteristic vector T consisting of the total length of the road network, the total population, the total production value and the total income of the public financial budget in the jth concentric circlekThe accumulated value of the kth characteristic quantity in the jth concentric circle is shown, k is the number of the characteristic quantities in the vector, DkIs Xk,jFractal dimension of the kth characteristic quantity rjThe radius of the jth equidistant concentric circle, j is the serial number of the equidistant concentric circle, and c is a constant term obtained by model fitting.
Optionally, a scale matching factor δkThe calculation model of (a) is:
δk,k≠1=D1/Dk,k≠1
k is the number of characteristic quantities, D1Is Xk,jFractal dimension of the 1 st characteristic quantity, DkIs Xk,jFractal dimension of the kth characteristic quantity, Xk,jAnd a feature vector consisting of the total length of the road network, the total population number, the total production value and the total income of the public financial budget in the jth concentric circle.
Optionally, the steps S1 and S2 specifically include:
s11, acquiring city information in a planning area of the city group; wherein the city information comprises a list of cities, geographic coordinates, the population number, the total production value, and the public financial budget revenue;
s12, acquiring a rail transit network in the urban group planning area; the rail transit road network comprises a route city and the length between road network nodes;
s21, calculating the road network length of each city in the city list according to the rail transit road network to obtain the city feature set; wherein the city feature set includes the geographic coordinates, the road network length, the population count, the production value, and the public financial budget revenue for each city.
In a second aspect, an embodiment of the present invention provides an evaluation apparatus for inter-city rail transit coordination, including:
the information acquisition module is used for acquiring a rail transit road network and urban information in an urban group planning area;
the characteristic acquisition module is used for acquiring an urban characteristic set according to the rail transit road network and the urban information; the city feature set comprises geographic coordinates, road network length, population quantity, production value and public financial budget income of each city;
the circle center acquisition module is used for acquiring urban group center coordinates in the urban group planning area based on a gravity center method according to the urban feature set;
the summation module is used for generating a plurality of equidistant concentric circles in the planned area of the urban group by taking the central coordinate of the urban group as the center of a circle and acquiring the sum of characteristic quantities in each equidistant concentric circle; wherein, the total characteristic quantity is the total length of the road network in the equidistant concentric circles and the total population number; total production value and total public financial budget income;
the fractal dimension module is used for calculating the fractal dimension of each characteristic based on a self-similarity theory according to the sum of the characteristic quantities;
and the scale factor module is used for acquiring a scale matching factor between the rail transit network in the urban group planning area and the urban group scale according to the fractal dimension.
Optionally, the center coordinates (G) of the urban group are obtained based on a barycentric methodx,Gy) The calculation model of (a) is:
wherein G isxAnd GyRespectively are the horizontal and vertical coordinates of the center of gravity of the city group, n is the total number of the cities, i is the serial number of the cities, Pi、Ci、RiRespectively the population number, the area production value and the public financial budget income x of the ith cityiAnd yiRespectively the geographic coordinates of cities in the city group;
optionally, the summation module specifically includes:
a radius calculation unit for obtaining the length L of the urban area planning regionxWidth L ofyAnd the number m of equidistant division points, and calculating the radius of the equidistant concentric circles; wherein, the calculation model of the radius is as follows:rjis the radius of the jth equidistant concentric circle, j is the serial number of the equidistant concentric circle, LxAnd LyRespectively planning the length and the width of the area for the city group, wherein m is the number of equidistant segmentation points in the area for the city group;
a concentric circle generating unit for generating a plurality of equidistant concentric circles within the urban grouping planning region according to the radius;
a feature quantity total calculation unit for obtaining the city features in the equidistant concentric circles according to the geographic coordinates and calculating the feature quantity total T of the city featuresk(Xk,j) (ii) a Wherein,Xk,ja characteristic vector consisting of the total length of the road network, the total population number, the total production value and the total income of the public financial budget in the jth concentric circle, j is the serial number of equidistant concentric circles, TkAnd the accumulated value of the kth characteristic quantity in the jth concentric circle is shown, k is the number of the characteristic quantities in the vector, k is 4, and m is the number of equidistant dividing points of the urban group planning area.
The fractal dimension module is specifically configured to:
based on a self-similarity theory, according to the radius of the equidistant concentric circles and the sum of the characteristic quantities, fitting a straight line slope under a logarithmic coordinate to obtain the fractal dimension of each characteristic; wherein the fitting model is as follows:
logTk(Xk,j)=logc+Dklogrj
Xk,ja characteristic vector T consisting of the total length of the road network, the total population, the total production value and the total income of the public financial budget in the jth concentric circlekThe accumulated value of the kth characteristic quantity in the jth concentric circle is shown, k is the number of the characteristic quantities in the vector, DkIs Xk,jFractal dimension of the kth characteristic quantity rjThe radius of the jth equidistant concentric circle, j is the serial number of the equidistant concentric circle, and c is a constant term obtained by model fitting;
optionally, a scale matching factor δkThe calculation model of (a) is:
δk,k≠1=D1/Dk,k≠1
k is the number of characteristic quantities, D1Is Xk,jFractal dimension of the 1 st characteristic quantity, DkIs Xk,jFractal dimension of the kth characteristic quantity, Xk,jAnd a feature vector consisting of the total length of the road network, the total population number, the total production value and the total income of the public financial budget in the jth concentric circle.
Optionally, the information obtaining module and the feature obtaining module specifically include:
the city information unit is used for acquiring city information in a planning area of a city group; wherein the city information comprises a list of cities, geographic coordinates, the population number, the total production value, and the public financial budget revenue;
the track road network unit is used for acquiring a track traffic road network in an urban group planning area; the rail transit road network comprises a route city and the length between road network nodes;
the road network length unit is used for calculating the road network length of each city in the city list according to the rail transit road network so as to obtain the city feature set; wherein the city feature set includes the geographic coordinates, the road network length, the population count, the production value, and the public financial budget revenue for each city.
In a third aspect, an embodiment of the present invention provides an evaluation device for inter-city rail transit coordination, which includes a processor, a memory, and a computer program stored in the memory; the computer program is executable by the processor to implement the method of evaluating intercity rail transit coordination as described in the first aspect.
In a fourth aspect, an embodiment of the present invention provides a computer-readable storage medium, where the computer-readable storage medium includes a stored computer program, where the computer program, when running, controls a device in which the computer-readable storage medium is located to perform the method for evaluating intercity rail transit coordination according to the first aspect.
By adopting the technical scheme, the invention can obtain the following technical effects:
the embodiment of the invention considers the complexity of the rail transit road network and the discreteness of the urban mass scale, and evaluates the self-similarity characteristic of the statistical data. And a good quantization index can be obtained under the conditions of non-uniform dimension and random scale change.
In order to make the aforementioned and other objects, features and advantages of the present invention comprehensible, preferred embodiments accompanied with figures are described in detail below.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings needed to be used in the embodiments will be briefly described below, it should be understood that the following drawings only illustrate some embodiments of the present invention and therefore should not be considered as limiting the scope, and for those skilled in the art, other related drawings can be obtained according to the drawings without inventive efforts.
Fig. 1 is a schematic flow chart of an evaluation method of inter-city rail transit coordination according to a first embodiment of the present invention.
Fig. 2 is a concentric circle drawing of the scale data of the rail transit network and the urban mass.
Fig. 3 is a schematic diagram of a calculation flow of the scale matching factor between the rail transit road network and the urban mass.
Fig. 4 is a schematic structural diagram of an evaluation apparatus for inter-city rail transit coordination according to a second embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
For better understanding of the technical solutions of the present invention, the following detailed descriptions of the embodiments of the present invention are provided with reference to the accompanying drawings.
It should be understood that the described embodiments are only some embodiments of the invention, and not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The terminology used in the embodiments of the invention is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. As used in the examples of the present invention and the appended claims, the singular forms "a," "an," and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise.
It should be understood that the term "and/or" as used herein is merely one type of association that describes an associated object, meaning that three relationships may exist, e.g., a and/or B may mean: a exists alone, A and B exist simultaneously, and B exists alone. In addition, the character "/" herein generally indicates that the former and latter related objects are in an "or" relationship.
The word "if" as used herein may be interpreted as "at … …" or "when … …" or "in response to a determination" or "in response to a detection", depending on the context. Similarly, the phrases "if determined" or "if detected (a stated condition or event)" may be interpreted as "when determined" or "in response to a determination" or "when detected (a stated condition or event)" or "in response to a detection (a stated condition or event)", depending on the context.
In the embodiments, the references to "first \ second" are merely to distinguish similar objects and do not represent a specific ordering for the objects, and it is to be understood that "first \ second" may be interchanged with a specific order or sequence, where permitted. It should be understood that "first \ second" distinct objects may be interchanged under appropriate circumstances such that the embodiments described herein may be practiced in sequences other than those illustrated or described herein.
The invention is described in further detail below with reference to the following detailed description and accompanying drawings:
the first embodiment is as follows:
referring to fig. 1, a first embodiment of the present invention provides a method for evaluating inter-city rail transit coordination, which can be performed by an evaluation device for inter-city rail transit coordination. In particular, execution by one or more processors in the evaluation device of intercity rail transit coordination implements steps S1 through S6.
And S1, acquiring the rail transit network and the urban information in the urban group planning area.
And S2, acquiring the city feature set according to the rail transit network and the city information. The city feature set comprises geographic coordinates, road network length, population number, production value and public financial budget income of each city.
It is to be understood that the evaluation device may be a local computer, a laptop computer, a server, or a cloud computer or a cloud server in the cloud, which is not particularly limited in the present invention.
The rail transit road network comprises information such as road network node geographic coordinates, road network node length, route city lists and the like. The city information is a part of city scale characteristic parameters of a city group planning area, and comprises a city list, geographic coordinates, population quantity, total regional production value and public financial budget income.
In order to accurately coordinate the rail transit network in the urban group planning area with the urban group scale, in the embodiment, the data of the rail transit network and the urban information data are firstly associated, and the data required to be used is extracted from the data. Specifically, the method comprises the following steps: the steps S1 and S2 include:
and S11, acquiring city information in the urban group planning area. The city information comprises a city list, geographic coordinates, population quantity, total production value and public financial budget income.
And S12, acquiring a rail transit network in the urban group planning area. The rail transit road network comprises a road city and the length between road network nodes.
S21, calculating the road network length of each city in the city list according to the rail transit road network to obtain the city feature set. The city feature set comprises geographic coordinates, road network length, population number, production value and public financial budget income of each city.
The embodiment of the invention is established on the basis of data of the scale of a rail transit road network and an urban mass, the objectivity and the accuracy of the method are ensured, and the process can ensure that the coordination quantitative evaluation has expansibility under the conditions of urban mass planning area change, urban expansion and new road network establishment. In addition, the embodiment of the invention associates the road network length, the total population, the total regional production value and the income characteristic parameter of the public financial budget with the city list, locks the association between the rail transit road network and the city group, and lays a precondition for the interaction and the bidirectional coordination between the road network length, the total population, the total regional production value and the income characteristic parameter.
And S3, acquiring a center coordinate A of the urban group in the urban group planning region based on a gravity center method according to the urban feature set. Specifically, the center coordinates (G) of the urban group are acquired based on the gravity center methodx,Gy) The calculation model of (a) is:
wherein G isxAnd GyRespectively are the horizontal and vertical coordinates of the center of gravity of the city group, n is the total number of the cities, i is the serial number of the cities, Pi、Ci、RiRespectively the population number, the area production value and the public financial budget income x of the ith cityiAnd yiRespectively the geographic coordinates of the ith city in the city group.
The center coordinates of the urban group are selected by the gravity center method, accurate coordinates related to the population quantity, the area production value and the public financial budget income in the urban group planning area can be obtained, errors caused by simply taking the coordinates of the center city as the center coordinates are avoided, and the evaluation precision is greatly improved.
And S4, generating a plurality of equidistant concentric circles in the planned area of the urban group by taking the central coordinate of the urban group as the center of a circle, and acquiring the sum of the characteristic quantities in the equidistant concentric circles. The total characteristic quantity is the total length of the road network in equidistant concentric circles and the total population quantity. Total production value and total revenue from public financial budget. Specifically, step S4 includes:
s41, acquiring length L of urban area planning areaxWidth L ofyAnd the number m of the equidistant segmentation points, and calculating the radius of the equidistant concentric circles. Wherein, the calculation model of the radius is as follows:
rjis the radius of the jth equidistant concentric circle, j is the serial number of the equidistant concentric circle, LxAnd LyThe length and the width of the urban area are respectively planned, and m is the number of equidistant dividing points in the urban area.
And S42, generating a plurality of equidistant concentric circles in the urban grouping planning area according to the radius.
S43, according to the geographic coordinates, obtaining the urban features in each equidistant concentric circle, and calculating the feature quantity total T of the urban featuresk(Xk,j). Wherein,
Xk,ja characteristic vector consisting of the total length of the road network in the jth concentric circle, the total population number, the total production value and the total income of public financial budget, j is the serial number of the equidistant concentric circles, TkAnd (4) the accumulated value of the kth characteristic quantity in the jth concentric circle is obtained, k is the number of the characteristic quantities in the vector, k is 4, and m is the number of equidistant dividing points of the urban group planning area. M may be a fixed value or a distance value set manually.
A plurality of equidistant concentric circles are divided in the urban grouping planning area, so that the development conditions of radiation outwards with the urban grouping center coordinate as the circle center and different distances can be further analyzed, and a more accurate evaluation result can be obtained.
And S5, calculating the fractal dimension of each feature according to the sum of the feature quantities and based on a self-similarity theory.
Specifically, step S5 includes:
and S51, based on the self-similarity theory, according to the radius of the equidistant concentric circles and the feature quantity sum, fitting the slope of the straight line under the logarithmic coordinate to obtain the fractal dimension of each feature. Wherein the fitting model is as follows:
logTk(Xk,j)=logc+Dklogrj
Xk,ja characteristic vector T consisting of the total length of the road network in the jth concentric circle, the total population number, the total production value and the total income of public financial budgetkThe accumulated value of the kth characteristic quantity in the jth concentric circle is shown, k is the number of the characteristic quantities in the vector, DkIs Xk,jFractal dimension of the kth characteristic quantity rjThe radius of the jth equidistant concentric circle, j is the serial number of the equidistant concentric circle, and c is a constant term obtained by model fitting.
The embodiment of the invention considers the complexity of the rail transit road network and the discreteness of the urban mass scale, and carries out quantitative evaluation on the basis of the self-similarity characteristic of statistical data. And adopting the concept of fractal dimension, and taking the fractal dimension with scale-free characteristics as a calculation parameter of the harmony index. Better quantization index can be obtained under the conditions that the dimension is not uniform and the scale changes randomly.
And S6, obtaining a proportional matching factor between the rail transit network in the urban grouping planning area and the urban grouping scale according to the fractal dimension. In particular, the scale matching factor δkThe calculation model of (a) is:
δk,k≠1=D1/Dk,k≠1
k is the number of characteristic quantities, D1Is Xk,jFractal dimension of the 1 st characteristic quantity, DkIs Xk,jFractal dimension of the kth characteristic quantity, Xk,jAnd the characteristic vector is composed of the total length of the road network in the jth concentric circle, the total population number, the total production value and the total income of the public financial budget.
S7, according to the scale matching factor deltakAnd quantitatively evaluating the coordination between the rail transit road network and the urban mass. The δ is a quantitative constant smaller than 2, the δ is closer to 2, the matching degree of the rail transit road network and the urban mass is higher, and the coordination is better, and conversely, the δ is far from 2, the line complexity is higher, but the urban mass is mainly concentrated on the gravity center position, and the coordination between the two is poor.
The method for evaluating the intercity rail transit harmony provided by the embodiment of the invention can verify the self-similarity characteristics of the irregular, complex and broken data characteristic quantity, calculate the fractal dimension of the characteristic quantity under the scale-free condition, further quantitatively evaluate the scale harmony of the rail transit network and the urban group based on the matching factor constructed by the fractal dimension, and has good practical significance.
Example II,
Referring to fig. 2, an embodiment of the present invention provides an evaluation apparatus for inter-city rail transit coordination, which includes:
the information acquisition module 1 is used for acquiring a rail transit network and urban information in an urban group planning area.
And the characteristic acquisition module 2 is used for acquiring the urban characteristic set according to the rail transit road network and the urban information. The city feature set comprises geographic coordinates, road network length, population number, production value and public financial budget income of each city.
And the circle center acquisition module 3 is used for acquiring the center coordinates of the urban group in the urban group planning area based on a gravity center method according to the urban feature set.
And the summation module 4 is used for generating a plurality of equidistant concentric circles in the planned area of the urban group by taking the central coordinate of the urban group as the center of a circle and acquiring the sum of the characteristic quantities in each equidistant concentric circle. The total characteristic quantity is the total length of the road network in equidistant concentric circles and the total population quantity. Total production value and total revenue from public financial budget.
And the fractal dimension module 5 is used for calculating the fractal dimension of each characteristic based on a self-similarity theory according to the sum of the characteristic quantities.
And the scale factor module 6 is used for acquiring a scale matching factor between a rail transit network in the urban group planning area and the urban group scale according to the fractal dimension.
The method for evaluating the intercity rail transit harmony provided by the embodiment of the invention can verify the self-similarity characteristics of the irregular, complex and broken data characteristic quantity, calculate the fractal dimension of the characteristic quantity under the scale-free condition, further quantitatively evaluate the scale harmony of the rail transit network and the urban group based on the matching factor constructed by the fractal dimension, and has good practical significance.
Alternatively, the center coordinates (G) of the urban group are acquired based on the barycentric methodx,Gy) The calculation model of (a) is:
wherein G isxAnd GyRespectively are the horizontal and vertical coordinates of the center of gravity of the city group, n is the total number of the cities, i is the serial number of the cities, Pi、Ci、RiRespectively the population number, the area production value and the public financial budget income x of the ith cityiAnd yiRespectively the geographical coordinates of the cities in the urban group.
Optionally, the summation module 4 specifically includes:
a radius calculation unit for obtaining the length L of the urban group planning regionxWidth L ofyAnd the number m of the equidistant segmentation points, and calculating the radius of the equidistant concentric circles. Wherein, the calculation model of the radius is as follows: rjis the radius of the jth equidistant concentric circle, j is the serial number of the equidistant concentric circle, LxAnd LyThe length and the width of the urban area are respectively planned, and m is the number of equidistant dividing points in the urban area.
And the concentric circle generating unit is used for generating a plurality of equidistant concentric circles in the urban grouping planning area according to the radius.
A feature quantity total calculation unit for obtaining the city features in each equidistant concentric circle according to the geographic coordinates and calculating the feature quantity total T of the city featuresk(Xk,j). Wherein,Xk,ja characteristic vector consisting of the total length of the road network in the jth concentric circle, the total population number, the total production value and the total income of public financial budget, j is the serial number of the equidistant concentric circles, TkAnd (4) the accumulated value of the kth characteristic quantity in the jth concentric circle is obtained, k is the number of the characteristic quantities in the vector, k is 4, and m is the number of equidistant dividing points of the urban group planning area.
based on the self-similarity theory, according to the radius of the equidistant concentric circles and the sum of the characteristic quantities, the fractal dimension of each characteristic is obtained by fitting the slope of the straight line under the logarithmic coordinate. Wherein the fitting model is as follows:
logTk(Xk,j)=logc+Dklogrj
Xk,ja characteristic vector T consisting of the total length of the road network in the jth concentric circle, the total population number, the total production value and the total income of public financial budgetkThe accumulated value of the kth characteristic quantity in the jth concentric circle is shown, k is the number of the characteristic quantities in the vector, DkIs Xk,jFractal dimension of the kth characteristic quantity rjThe radius of the jth equidistant concentric circle, j is the serial number of the equidistant concentric circle, and c is a constant term obtained by model fitting.
Optionally, a scale matching factor δkThe calculation model of (a) is:
δk,k≠1=D1/Dk,k≠1
k is the number of characteristic quantities, D1Is Xk,jFractal dimension of the 1 st characteristic quantity, DkIs Xk,jFractal dimension of the kth characteristic quantity, Xk,jAnd the characteristic vector is composed of the total length of the road network in the jth concentric circle, the total population number, the total production value and the total income of the public financial budget.
Optionally, the information obtaining module 1 and the feature obtaining module 2 specifically include:
and the city information unit is used for acquiring city information in the urban group planning area. The city information comprises a city list, geographic coordinates, population quantity, total production value and public financial budget income.
And the rail road network unit is used for acquiring a rail traffic road network in the urban group planning area. The rail transit road network comprises a road city and the length between road network nodes.
And the road network length unit is used for calculating the road network length of each city in the city list according to the rail traffic road network so as to obtain the city feature set. The city feature set comprises geographic coordinates, road network length, population number, production value and public financial budget income of each city.
Example III,
The embodiment of the invention provides evaluation equipment for intercity rail transit coordination, which comprises a processor, a memory and a computer program stored in the memory. The computer program can be executed by a processor to implement the method for assessing inter-city rail traffic coordination as described in the first embodiment.
Example four,
The embodiment of the invention provides a computer-readable storage medium, which includes a stored computer program, where when the computer program runs, a device where the computer-readable storage medium is located is controlled to execute the method for evaluating intercity rail transit coordination, as described in the first embodiment.
In the embodiments provided in the present invention, it should be understood that the disclosed apparatus and method can be implemented in other ways. The apparatus and method embodiments described above are illustrative only, as the flowcharts and block diagrams in the figures illustrate the architecture, functionality, and operation of possible implementations of apparatus, methods and computer program products according to various embodiments of the present invention. In this regard, each block in the flowchart or block diagrams may represent a module, segment, or portion of code, which comprises one or more executable instructions for implementing the specified logical function(s). It should also be noted that, in some alternative implementations, the functions noted in the block may occur out of the order noted in the figures. For example, two blocks shown in succession may, in fact, be executed substantially concurrently, or the blocks may sometimes be executed in the reverse order, depending upon the functionality involved. It will also be noted that each block of the block diagrams and/or flowchart illustration, and combinations of blocks in the block diagrams and/or flowchart illustration, can be implemented by special purpose hardware-based systems which perform the specified functions or acts, or combinations of special purpose hardware and computer instructions.
In addition, the functional modules in the embodiments of the present invention may be integrated together to form an independent part, or each module may exist separately, or two or more modules may be integrated to form an independent part.
The functions, if implemented in the form of software functional modules and sold or used as a stand-alone product, may be stored in a computer readable storage medium. Based on such understanding, the technical solution of the present invention may be embodied in the form of a software product, which is stored in a storage medium and includes instructions for causing a computer device (which may be a personal computer, an electronic device, or a network device) to perform all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk or an optical disk, and other various media capable of storing program codes. It should be noted that, in this document, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising an … …" does not exclude the presence of other identical elements in a process, method, article, or apparatus that comprises the element.
The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention, and various modifications and changes may be made by those skilled in the art. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Claims (10)
1. The method for evaluating the intercity rail transit coordination is characterized in that,
acquiring a rail transit road network and urban information in an urban group planning region;
acquiring an urban feature set according to the rail transit road network and the urban information; the city feature set comprises geographic coordinates, road network length, population quantity, production value and public financial budget income of each city;
acquiring urban group center coordinates in the urban group planning region based on a gravity center method according to the urban feature set;
generating a plurality of equidistant concentric circles in the planning area of the urban group by taking the central coordinate of the urban group as the center of a circle, and acquiring the sum of characteristic quantities in each equidistant concentric circle; wherein, the total characteristic quantity is the total length of the road network in the equidistant concentric circles and the total population number; total production value and total public financial budget income;
calculating to obtain the fractal dimension of each feature based on a self-similarity theory according to the sum of the feature quantities;
according to the fractal dimension, obtaining a proportional matching factor between a rail transit road network in the urban group planning region and the urban group scale;
and quantitatively evaluating the coordination between the rail transit road network and the urban mass according to the proportional matching factor.
2. Evaluation method according to claim 1, characterized in that the urban mass center coordinates (G) are obtained on the basis of the barycentric methodx,Gy) The calculation model of (a) is:
wherein G isxAnd GyRespectively are the horizontal and vertical coordinates of the center of gravity of the city group, n is the total number of the cities, i is the serial number of the cities, Pi、Ci、RiRespectively the population number, the area production value and the public financial budget income x of the ith cityiAnd yiRespectively the geographical coordinates of the cities in the urban group.
3. The evaluation method according to claim 1, wherein a plurality of equidistant concentric circles in the planned area of the urban grouping are generated with the central coordinate of the urban grouping as a center of the circle, and a sum of feature quantities in each of the equidistant concentric circles is obtained, and the method specifically includes:
obtaining the length L of the urban group planning areaxWidth L ofyAnd the number m of equidistant division points, and calculating the radius of the equidistant concentric circles; wherein, the calculation model of the radius is as follows:rjis the radius of the jth equidistant concentric circle, j is the serial number of the equidistant concentric circle, LxAnd LyRespectively planning the length and the width of the area for the city group, wherein m is the number of equidistant segmentation points in the area for the city group;
generating a plurality of equidistant concentric circles in the urban grouping planning region according to the radius;
according to the geographic coordinates, urban features in the equidistant concentric circles are obtained, and the feature quantity total T of the urban features is calculatedk(Xk,j) (ii) a Wherein,Xk,ja characteristic vector consisting of the total length of the road network, the total population number, the total production value and the total income of the public financial budget in the jth concentric circle, j is the serial number of equidistant concentric circles, TkAnd the accumulated value of the kth characteristic quantity in the jth concentric circle is shown, k is the number of the characteristic quantities in the vector, k is 4, and m is the number of equidistant dividing points of the urban group planning area.
4. The evaluation method according to claim 1, wherein the calculating of the fractal dimension of each feature based on the self-similarity theory according to the feature quantity sum specifically comprises:
based on a self-similarity theory, according to the radius of the equidistant concentric circles and the sum of the characteristic quantities, fitting a straight line slope under a logarithmic coordinate to obtain the fractal dimension of each characteristic; wherein the fitting model is as follows:
logTk(Xk,j)=logc+Dklogrj
Xk,ja characteristic vector T consisting of the total length of the road network, the total population, the total production value and the total income of the public financial budget in the jth concentric circlekThe accumulated value of the kth characteristic quantity in the jth concentric circle is shown, k is the number of the characteristic quantities in the vector, DkIs Xk,jFractal dimension of the kth characteristic quantity rjThe radius of the jth equidistant concentric circle, j is the serial number of the equidistant concentric circle, and c is a constant term obtained by model fitting.
5. The evaluation method according to claim 1, wherein the scale matching factor δkThe calculation model of (a) is:
δk,k≠1=D1/Dk,k≠1
k is the number of characteristic quantities, D1Is Xk,jFractal dimension of the 1 st characteristic quantity, DkIs Xk,jFractal dimension of the kth characteristic quantity, Xk,jAnd a feature vector consisting of the total length of the road network, the total population number, the total production value and the total income of the public financial budget in the jth concentric circle.
6. The evaluation method according to any one of claims 1 to 5, wherein a rail transit network and city information within an urban mass planning region are acquired; acquiring an urban feature set according to the rail transit road network and the urban information; the method specifically comprises the following steps:
acquiring city information in a planned area of a city group; wherein the city information comprises a list of cities, geographic coordinates, the population number, the total production value, and the public financial budget revenue;
acquiring a rail transit road network in an urban group planning area; the rail transit road network comprises a route city and the length between road network nodes;
calculating the road network length of each city in the city list according to the rail transit road network to obtain the city feature set; wherein the city feature set includes the geographic coordinates, the road network length, the population count, the production value, and the public financial budget revenue for each city.
7. Evaluation device of intercity rail transit harmony, its characterized in that contains:
the information acquisition module is used for acquiring a rail transit road network and urban information in an urban group planning area;
the characteristic acquisition module is used for acquiring an urban characteristic set according to the rail transit road network and the urban information; the city feature set comprises geographic coordinates, road network length, population quantity, production value and public financial budget income of each city;
the circle center acquisition module is used for acquiring urban group center coordinates in the urban group planning area based on a gravity center method according to the urban feature set;
the summation module is used for generating a plurality of equidistant concentric circles in the planned area of the urban group by taking the central coordinate of the urban group as the center of a circle and acquiring the sum of characteristic quantities in each equidistant concentric circle; wherein, the total characteristic quantity is the total length of the road network in the equidistant concentric circles and the total population number; total production value and total public financial budget income;
the fractal dimension module is used for calculating the fractal dimension of each characteristic based on a self-similarity theory according to the sum of the characteristic quantities;
and the scale factor module is used for acquiring a scale matching factor between the rail transit network in the urban group planning area and the urban group scale according to the fractal dimension.
8. The evaluation apparatus of intercity rail transit coordination according to claim 7,
based on centre of gravityObtaining the center coordinates (G) of the city groupx,Gy) The calculation model of (a) is:
wherein G isxAnd GyRespectively are the horizontal and vertical coordinates of the center of gravity of the city group, n is the total number of the cities, i is the serial number of the cities, Pi、Ci、RiRespectively the population number, the area production value and the public financial budget income x of the ith cityiAnd yiRespectively the geographic coordinates of cities in the city group;
the fractal dimension module is specifically configured to:
based on a self-similarity theory, according to the radius of the equidistant concentric circles and the sum of the characteristic quantities, fitting a straight line slope under a logarithmic coordinate to obtain the fractal dimension of each characteristic; wherein the fitting model is as follows:
logTk(Xk,j)=logc+Dklogrj
Xk,ja characteristic vector T consisting of the total length of the road network, the total population, the total production value and the total income of the public financial budget in the jth concentric circlekThe accumulated value of the kth characteristic quantity in the jth concentric circle is shown, k is the number of the characteristic quantities in the vector, DkIs Xk,jFractal dimension of the kth characteristic quantity rjThe radius of the jth equidistant concentric circle, j is the serial number of the equidistant concentric circle, and c is a constant term obtained by model fitting;
proportional matching factor deltakThe calculation model of (a) is:
δk,k≠1=D1/Dk,k≠1
k is the number of characteristic quantities, D1Is Xk,jFractal dimension of the 1 st feature quantityNumber, DkIs Xk,jFractal dimension of the kth characteristic quantity, Xk,jAnd a feature vector consisting of the total length of the road network, the total population number, the total production value and the total income of the public financial budget in the jth concentric circle.
9. The evaluation equipment of intercity rail transit harmony is characterized by comprising a processor, a memory and a computer program stored in the memory; the computer program is executable by the processor to implement the method of assessing inter-city rail traffic coordination as claimed in any one of claims 1 to 6.
10. A computer-readable storage medium, comprising a stored computer program, wherein the computer program, when executed, controls an apparatus in which the computer-readable storage medium is located to perform the method for inter-city rail traffic coordination assessment as claimed in any one of claims 1 to 6.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202110774715.2A CN113469541B (en) | 2021-07-08 | 2021-07-08 | Inter-city rail transit coordination evaluation method, device, equipment and storage medium |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202110774715.2A CN113469541B (en) | 2021-07-08 | 2021-07-08 | Inter-city rail transit coordination evaluation method, device, equipment and storage medium |
Publications (2)
Publication Number | Publication Date |
---|---|
CN113469541A true CN113469541A (en) | 2021-10-01 |
CN113469541B CN113469541B (en) | 2023-06-23 |
Family
ID=77879395
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN202110774715.2A Active CN113469541B (en) | 2021-07-08 | 2021-07-08 | Inter-city rail transit coordination evaluation method, device, equipment and storage medium |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN113469541B (en) |
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN117422602A (en) * | 2023-11-07 | 2024-01-19 | 北京城建设计发展集团股份有限公司 | Multi-dimensional fusion method and system for rail transit planning |
CN117474734A (en) * | 2023-11-07 | 2024-01-30 | 北京城建设计发展集团股份有限公司 | Existing line transformation and urban line network line and station multi-element fusion method and system |
Family Cites Families (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
EP2797041A1 (en) * | 2013-04-26 | 2014-10-29 | Università Del Salento - Dipartimento Di Ingegneria Dell'Innovazione | Method for estimating pollutant concentration of urban environments using fluid-dynamics clustering |
CN104182796A (en) * | 2014-08-14 | 2014-12-03 | 南京理工大学 | Determination method of urban rail transit vehicle maintenance mode |
CN105243439A (en) * | 2015-09-29 | 2016-01-13 | 中铁第一勘察设计院集团有限公司 | Road network structure based urban agglomeration intercity railway line network scale measuring method |
-
2021
- 2021-07-08 CN CN202110774715.2A patent/CN113469541B/en active Active
Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN117422602A (en) * | 2023-11-07 | 2024-01-19 | 北京城建设计发展集团股份有限公司 | Multi-dimensional fusion method and system for rail transit planning |
CN117474734A (en) * | 2023-11-07 | 2024-01-30 | 北京城建设计发展集团股份有限公司 | Existing line transformation and urban line network line and station multi-element fusion method and system |
CN117422602B (en) * | 2023-11-07 | 2024-06-07 | 北京城建设计发展集团股份有限公司 | Multi-dimensional fusion method and system for rail transit planning |
CN117474734B (en) * | 2023-11-07 | 2024-06-07 | 北京城建设计发展集团股份有限公司 | Existing line transformation and urban line network line and station multi-element fusion method and system |
Also Published As
Publication number | Publication date |
---|---|
CN113469541B (en) | 2023-06-23 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN110379161B (en) | Urban road network traffic flow distribution method | |
CN109993223A (en) | Pavement Condition prediction technique, storage medium, electronic equipment | |
CN113469541B (en) | Inter-city rail transit coordination evaluation method, device, equipment and storage medium | |
Chang et al. | Comparative analysis of trip generation models: results using home-based work trips in the Seoul metropolitan area | |
Lethanh et al. | Use of exponential hidden Markov models for modelling pavement deterioration | |
CN111489008B (en) | Traffic accident influencing factor space effect analysis method and application thereof | |
CN104751007A (en) | Building value evaluation based calculation method and device | |
CN111401743B (en) | Dynamic traffic influence evaluation method for urban road construction period | |
CN111861643A (en) | Riding position recommendation method and device, electronic equipment and storage medium | |
Saliminejad et al. | A spatial‐Bayesian technique for imputing pavement network repair data | |
Jia et al. | Influence of measurement variability of international roughness index on uncertainty of network-level pavement evaluation | |
CN110889092A (en) | Short-time large-scale activity peripheral track station passenger flow volume prediction method based on track transaction data | |
Brauer et al. | Characterizing cycling traffic fluency using big mobile activity tracking data | |
Lobo et al. | Modelling the Operating Speed in Segments of Two‐Lane Highways from Probe Vehicle Data: A Stochastic Frontier Approach | |
CN108038734B (en) | Urban commercial facility spatial distribution detection method and system based on comment data | |
CN111539764A (en) | Big data multiple access selection method based on submodular function | |
Yang et al. | How do different treatments of catchment area affect the station level demand modeling of urban rail transit? | |
Li et al. | Route-level transit operational-efficiency assessment with a bootstrap super-data-envelopment analysis model | |
Jonker et al. | Modeling trip-length distribution of shopping center trips from GPS data | |
Tan et al. | Urban growth boundary and subway development: A theoretical model for estimating their joint effect on urban land price | |
Xiao | Urban morphology and housing market | |
CN114971717B (en) | Business coupon issuing method | |
Amador-Jiménez et al. | Roads performance modeling and management system from two condition data points: case study of Costa Rica | |
Feng et al. | Integrated imputation of activity-travel diaries incorporating the measurement of uncertainty | |
Susila et al. | Performance Analysis of the Triple Exponential Smoothing Method During the Covid19 Pandemic on Tourist Visit Data |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
PB01 | Publication | ||
PB01 | Publication | ||
SE01 | Entry into force of request for substantive examination | ||
SE01 | Entry into force of request for substantive examination | ||
GR01 | Patent grant | ||
GR01 | Patent grant |