CN109764884A - A kind of school bus paths planning method and device for planning - Google Patents
A kind of school bus paths planning method and device for planning Download PDFInfo
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Abstract
The present invention provides a kind of school bus paths planning method and device for planning, can effectively reduce the data scale of school bus path planning.The described method includes: obtaining the latitude and longitude coordinates of student's family address and school address;According to student to website apart from desired value and each student to affiliated website apart from maximum value, establish school bus and stop site model;Site model is stopped according to the school bus of foundation, student's family address longitude and latitude is clustered, obtains the division information that school bus stops website and student's group's home site;Path planning is carried out according to the division information that the latitude and longitude coordinates in obtained student's family address and school address, school bus stop website and student's group's home site.The present invention is operated suitable for path planning.
Description
Technical field
The present invention relates to path planning field, a kind of school bus paths planning method and device for planning are particularly related to.
Background technique
In recent years, with the development of social economy, the quickening of urbanization process.The peace that middle and primary schools and kindergarten student go to school
Oneself becomes a social concern by warp to full problem, and many parents extremely worry this, therefore in the poly- of some period schools periphery
A large amount of private car is collected, has caused the congestion of neighbouring road, but also traffic pressure doubles.Therefore in order to preferably alleviate city
Traffic pressure reduces student's traffic time, designs reasonable school bus route and be a problem to be solved.
By reasonably being optimized to school bus path, reasonable school bus path can be obtained, it can reduce school and throw
Enter the quantity of school bus, save the cost, and the time of driving of school bus can be shortened, and traffic pressure can be alleviated.Therefore to school bus road
Diameter carries out whole planning and is of great significance.
Currently, the case where having determined both at home and abroad to the research of school bus routing problem mainly for website optimizes roadway
Line, existing solution are concentrated mainly on accurate solution, heuristic solving strategy and meta-heuristic and solve.
The research starting of exact algorithm is more early, but with the increase for the scale of studying a question, research is restricted.Due to
The NP-hard characteristic of school bus routing problem, only relatively small-scale problem can be used exact algorithm and obtain optimal solution.Work as number
When bigger than normal according to scale, optimal value can not be obtained using exact algorithm.
Large-scale problem is then needed to solve using meta-heuristic algorithm, if stopping the unknown item of website in school bus
Website is stopped using the home address of each student as school bus under part, a large amount of runing time can be spent, and cause optimal value simultaneously
It is undesirable.
Summary of the invention
It is existing to solve the technical problem to be solved in the present invention is to provide a kind of school bus paths planning method and device for planning
It present in technology when data scale is bigger than normal, is solved using exact algorithm or meta-heuristic algorithm, path can not be obtained
The problem of planning optimal value.
In order to solve the above technical problems, the embodiment of the present invention provides a kind of school bus paths planning method, comprising:
Obtain the latitude and longitude coordinates of student's family address and school address;
According to student to website apart from desired value and each student to affiliated website apart from maximum value, establish school bus and stop
By site model;
Site model is stopped according to the school bus of foundation, student's family address longitude and latitude is clustered, obtains school bus stop
The division information of website and student's group's home site;
Website is stopped according to the latitude and longitude coordinates in obtained student's family address and school address, school bus and student group returns
The division information for belonging to website carries out path planning.
Further, before obtaining the latitude and longitude coordinates of student's family address and school address, the method is also wrapped
It includes:
Obtain student's family address and school address;
First time data cleansing is carried out to the student's family address and school address, wherein the first time data
Cleaning includes: duplicate removal, removes missing values;
By after cleaning student's family address and school address be converted into corresponding latitude and longitude coordinates.
Further, after obtaining the latitude and longitude coordinates of student's family address and school address, the method is also wrapped
It includes:
The latitude and longitude coordinates in student's family address and school address to acquisition carry out second of data cleansing, wherein
Second of data cleansing includes: the cleaning of noise data, the cleaning of assigning null data, the cleaning of invalid data and customized clear
It washes.
Further, the school bus stops the objective function of site model: fs=min (K);
Constraint condition:
1≤K≤N
Wherein, fs=min (K) indicates that optimization aim is to keep school bus bus stop point quantity K minimum;K indicates school bus bus stop
The number of point;Indicate that student i stops website C to school busjDistance;CjWebsite Hosting C={ C is stopped for school bus1,C2,
C3........CKIn element;R indicates to allow student to affiliated website apart from maximum value;Indicate website CjStudent
Number;The total number of persons of N expression student;Indicate whether student i is divided into website CjIn.
Further, described that site model is stopped according to the school bus of foundation, student's family address longitude and latitude is clustered,
Obtain school bus stop website and student group home site division information include:
S1, setting allow student, apart from maximum value r, to obtain student's family address latitude and longitude coordinates composition to affiliated website
Data set D;
S2 randomly selects a point C in data set Di, and it is added to set C as a cluster heart, that is, origin site,
C={ Ci, and point C is removed in Di;
S3 is deleted in D apart from website CiLess than or equal to the point apart from maximum value r;
S4 jumps to S2 if set D is not sky;If set D is sky, set C is initial cluster heart C1,
C2......CK;
S5 calculates each data in data set and each data is divided into similarity to the similarity between each cluster heart
In highest cluster, to each cluster, calculates in cluster the mean value of all the points and using the mean value as the new cluster heart, update the position of the cluster heart
It sets;
S6 terminates if preset criterion function convergence Mr. Yu's value or the cluster heart do not change;Otherwise, S5 is jumped to.
Further, the latitude and longitude coordinates in the basis obtains student's family address and school address, school bus are stopped
The division information of website and student's group's home site carries out path planning and includes:
The division information of website and student's group's home site is stopped, according to obtained school bus to minimize school bus number and minimum
Changing driving of school bus distance is school bus path optimization target, establishes school bus path planning model;
According to the school bus path planning model of the latitude and longitude coordinates and foundation of student's family address and school address, benefit
Multiple target school bus path planning is realized with minimax ant group algorithm.
Further, the objective function of the school bus path planning model indicates are as follows:
Wherein, fpathIndicate the objective function of school bus path planning model, DijIndicate the distance between website i to website j,
xijvIndicate vehicle v whether by website i to website j, x0jvIndicate vehicle v whether by starting point/terminal to website j.
Further, according to the latitude and longitude coordinates in student's family address and school address and the school bus path of foundation
Plan model, after realizing multiple target school bus path planning using minimax ant group algorithm, the method also includes:
In the region that each path is formed, the website number of all public transport is counted;
Acquisition station counts most public transport as target public transport, and the target public transport picks student for replacing school bus.
The embodiment of the present invention also provides a kind of school bus path planning apparatus, comprising:
Module is obtained, for obtaining the latitude and longitude coordinates in student's family address and school address;
Module is established, for maximum according to the distance apart from desired value and each student to affiliated website of student to website
Value establishes school bus and stops site model;
Cluster module, for being clustered to student's family address longitude and latitude according to the school bus of foundation stop site model,
Obtain the division information that school bus stops website and student's group's home site;
Planning module, for being stopped according to the latitude and longitude coordinates in obtained student's family address and school address, school bus
The division information of website and student's group's home site carries out path planning.
The advantageous effects of the above technical solutions of the present invention are as follows:
In above scheme, the latitude and longitude coordinates of student's family address and school address are obtained;Website is arrived according to student
It establishes school bus apart from maximum value to affiliated website apart from desired value and each student and stops site model;According to the school of foundation
Vehicle stops site model, clusters to student's family address longitude and latitude, obtains school bus and stops website and student's group's home site
Division information;Website and student are stopped according to the latitude and longitude coordinates in obtained student's family address and school address, school bus
The division information of group's home site carries out path planning;In this way, being closed using the strategy for carrying out path planning afterwards is first clustered
It manages on the basis of school bus stops website and carries out multiple target school bus path planning, to large-scale school bus routing problem is converted into small
The school bus path planning problem of scale can effectively reduce the data scale of school bus path planning.
Detailed description of the invention
Fig. 1 is the flow diagram of school bus paths planning method provided in an embodiment of the present invention;
Fig. 2 is the workflow schematic diagram of improved K-means provided in an embodiment of the present invention;
Fig. 3 is the structural schematic diagram of school bus path planning apparatus provided in an embodiment of the present invention.
Specific embodiment
To keep the technical problem to be solved in the present invention, technical solution and advantage clearer, below in conjunction with attached drawing and tool
Body embodiment is described in detail.
The present invention is solved using exact algorithm or meta-heuristic algorithm for existing when data scale is bigger than normal,
The problem of path planning optimal value can not be obtained, provides a kind of school bus paths planning method and device for planning.
Embodiment one
As shown in Figure 1, school bus paths planning method provided in an embodiment of the present invention, comprising:
S101 obtains the latitude and longitude coordinates of student's family address and school address;
S102, according to student to website apart from desired value and each student to affiliated website apart from maximum value, establish
School bus stops site model;
S103 stops site model according to the school bus of foundation, clusters to student's family address longitude and latitude, obtain school bus
Stop the division information of website and student's group's home site;
S104 stops website and according to the latitude and longitude coordinates in obtained student's family address and school address, school bus
The division information of raw group's home site carries out path planning.
School bus paths planning method described in the embodiment of the present invention obtains the longitude and latitude of student's family address and school address
Spend coordinate;According to student to website apart from desired value and each student to affiliated website apart from maximum value, establish school bus and stop
By site model;Site model is stopped according to the school bus of foundation, student's family address longitude and latitude is clustered, school bus is obtained and stops
By the division information of website and student's group's home site;It is sat according to the longitude and latitude in obtained student's family address and school address
Mark, school bus stop website and the division information of student's group's home site carries out path planning;In this way, using laggard walking along the street is first clustered
The strategy of diameter planning carries out multiple target school bus path planning on the basis of obtaining reasonable school bus and stopping website, thus by extensive
School bus routing problem be converted into small-scale school bus path planning problem, can effectively reduce the data of school bus path planning
Scale.
In the specific embodiment of aforementioned school bus paths planning method, further, obtain student's family address with
And before the latitude and longitude coordinates of school address, the method also includes:
Obtain student's family address and school address;
First time data cleansing is carried out to the student's family address and school address, wherein the first time data
Cleaning includes: duplicate removal, removes missing values;
By after cleaning student's family address and school address be converted into corresponding latitude and longitude coordinates.
It, can not since the student's family address of acquisition and school address are stated by text in the present embodiment
It applies in path planning hereafter, therefore the latitude and longitude coordinates for forming and facilitating calculating by number need to be converted thereof into.This implementation
Example in, can by after above-mentioned cleaning student's family address and school address pass through Amap application programming interface
(Application Programming Interface, API) is converted into corresponding latitude and longitude coordinates.
In the specific embodiment of aforementioned school bus paths planning method, further, obtain student's family address with
And after the latitude and longitude coordinates of school address, the method also includes:
The latitude and longitude coordinates in student's family address and school address to acquisition carry out second of data cleansing, wherein
Second of data cleansing includes: the cleaning of noise data, the cleaning of assigning null data, the cleaning of invalid data and customized clear
It washes.
In the present embodiment, the cleaning of noise data refers to: leave out the student that home address obviously exceeds school district planned range,
The partial data may be caused since home address migrates or fills in mistake;
The cleaning of assigning null data refers to: the student default for home address, by Principle of Statistics, is learned according to the school district
The distribution situation of home address is given birth to be filled to null value;
The cleaning of invalid data refers to: the invalid data of misspelling or address resolution for appearance, carry out corrigendum or
It deletes;
Customized cleaning refers to: the removal home address student excessively close apart from school, defaulting the partial students can voluntarily walk
Row is gone to school, and unnecessary detour is avoided.
In the present embodiment, it is contemplated that the factor of student's riding time, driving of school bus distance etc., it will be remote apart from school
Related data is cleaned, and is removed with the practical data not being consistent and believed from the home to the too close student of school's walking duration
Breath, completes data cleansing again.
It is maximum according to the distance apart from desired value and each student to affiliated website of student to website in the present embodiment
Value establishes school bus and stops site model;Wherein, it is that school bus bus stop is made to count that the school bus, which stops the objective function of site model,
It is minimum to measure K:
fs=min (K)
Constraint condition:
1≤K≤N (1-3)
Wherein, fs=min (K) indicates that optimization aim is to keep school bus bus stop point quantity K minimum;K indicates school bus bus stop
The number of point;Indicate that student i stops website C to school busjDistance;CjWebsite Hosting C={ C is stopped for school bus1,C2,
C3........CKIn element;R indicates to allow student to affiliated website apart from maximum value;Indicate website CjStudent
Number;The total number of persons of N expression student;Indicate whether student i is divided into website CjIn.
In the present embodiment, formula (1-1) indicates that student i stops website C to school busjDistance be less than or equal to apart from maximum value r;
Formula (1-2) indicates the number of student of each websiteIt is greater than 1, cannot is 0;Formula (1-3) indicates that bus stop point quantity K is needed
Less than or equal to the total number of persons N of student;Formula (1-4), which indicates that the number of each website is added, need to be equal to total number of students N, guarantee each
Student is divided into unique website;Formula (1-5) is divided into website C as student ijIn, thenOtherwise it is equal to 0;Formula
(1-6) expression requires each student to be intended to be divided into some website.
In the present embodiment, according to the school bus of foundation stop site model, use improved K-means clustering algorithm (with
Clustered centered on K point in space) student's family address longitude and latitude is clustered, it ensure that each student to website
Distance be respectively less than be equal to it is preset under conditions of maximum value, obtain school bus stop website and student group home site draw
Divide information, can effectively reduce the data scale of school bus path planning.
In the present embodiment, using improved K-means algorithm in terms of origin site (i.e. initial cluster center) selection
It is improved, the specific steps for obtaining origin site may include:
A1, is arranged a distance threshold r first, which represents student to affiliated website apart from maximum value, obtain student house
Front yard address latitude and longitude coordinates composition data collection D;
A2 randomly selects a point C in data set Di, and it is added to set C as a cluster heart, that is, origin site,
C={ Ci, and the point is removed in D;
A3 is deleted in D apart from website CiPoint less than or equal to distance threshold r;
A4, if set D is sky, the number of element is K in last set C, and set C is the initial cluster heart of K-means
C1,C2......CK;
A5 calculates each data in data set and each data is divided into similarity to the similarity between each cluster heart
In highest cluster, to each cluster, calculates in cluster the mean value of all the points and using the mean value as the new cluster heart, update the position of the cluster heart
It sets;
A6 terminates if preset criterion function convergence Mr. Yu's value or the cluster heart do not change;Otherwise, A5 is jumped to.
In the present embodiment, by step A1-A4, obtains origin site and initial school bus stops the number of website, form K
A cluster;Then, each student is assigned to corresponding website nearby, the division of student's group's home site is realized, then in cluster
Portion takes mean value, obtains new website, until website does not change, finally obtains last website geographical location and each
Raw specific division;The step of its improved K-means, is with reference to figure as shown in Fig. 2, final by improved K-means algorithm
Obtain the number of school bus stopped in website and each website by bus.
In the present embodiment, preset criterion function is generally chosen error sum of squares (SSE), and SSE is indicated are as follows:
Wherein, N (Ci) be i-th of cluster class number, xijFor j-th of element of i-th of cluster class, CiIt is then i-th of cluster class
Cluster heart coordinate.
In the specific embodiment of aforementioned school bus paths planning method, further, the student family that the basis obtains
The latitude and longitude coordinates of front yard address and school address, school bus stop website and the division information of student's group's home site carries out path
Planning includes:
The division information of website and student's group's home site is stopped, according to obtained school bus to minimize school bus number and minimum
Changing driving of school bus distance is school bus path optimization target, and whether school bus routing problem is detachable according to the student of school bus website, point
It can not be split school bus routing problem (School Bus Routing Problem, SBRP) and detachable school bus path for multiple target
Problem (Split Demand School Bus Routing Problem, SDSBRP), establishes school bus path planning model;
According to the school bus path planning model of the latitude and longitude coordinates and foundation of student's family address and school address, benefit
Multiple target school bus path planning is realized with minimax ant group algorithm.
In the present embodiment, minimax ant group algorithm is used on path planning, obtains the optimization of multi-goal path planning
Value.To minimize school bus number and minimize driving of school bus distance as school bus path optimization target in the planning, therefore establishing
In terms of school bus path planning model, school bus path planning may be defined as a non-directed graph G=(V, E), in which: V={ 0,1 ...
K }, 0 indicates starting point and terminal, and other values are that school bus stops website serial number;E={ (i, j), 0≤i, j≤K } indicate website it
Between path.Existing P school bus accesses all K websites from school, and school bus is being no more than bearing capacity and travel distance
Under the premise of no more than specified value, rule is selected to select next website according to website, until next website can not be carried
When student, school is returned.
In order to simplify the complexity of the school bus path planning model, the structure for being easy to use minimax ant group algorithm to be solved
Build, carry out it is assumed hereinafter that:
1. the capacity of each school bus is equal, the maximum number of student that accommodates is set as 40 people.
2. the student of a certain website can reach website when school bus passes through the website and wait.
3. school bus sets out by start site of school, after the website planned, school (terminal) is returned to.
4. the capacity of school bus has delivered payload capability limitation, and carries number and must not exceed dead weight
SBRP problem is whether the demand of school bus website splits with the main distinction that SDSBRP is asked, therefore the two is in model
Middle constraint condition is different.
The constraint condition of SBRP problem:
In the constraint condition of above-mentioned SBRP problem, formula (2-1) indicates the contained number of students of every driving of school bus route not
More than the maximum capacity C of school bus;Formula (2-2) indicates that each school bus website can only be by a school bus service;Formula (2-3) indicates school bus
Website j can only have a school bus service primary;Formula (2-4) indicates that each school bus leaves the number of school bus website cannot be more than 1;Formula
(2-5) indicates that school bus from school, is eventually returned to school, forms closed circuit;Formula (2-6) indicates each school bus when driving
Between be no more than school bus maximum running time Tmax;Formula (2-7) indicates school bus after some website, and all students of the website are complete
Portion gets on the bus, and the meaning of design parameter is shown in Table 1.
The constraint condition of SDSBRP problem:
In the constraint condition of above-mentioned SDSBRP problem, formula (2-8) indicates that the number got on the bus in each school bus website is little
In the number of the website;Formula (2-9) indicates that all students of each school bus website can get on the bus;Formula (2-10) indicates every school bus
The vehicle-mounted number of students in path is less than or equal to the maximum capacity of school bus;After formula (2-11) indicates that school bus enters school bus website, it is bound to
Leave the school bus website;Formula (2-12) indicates that each school bus from school, is eventually returned to school;Formula (2-13) indicates each school
The running time that vehicle returns to school, which is less than to wait, is shown in Table 1 with school bus maximum running time, the meaning of design parameter.
1 mathematical model related symbol physical significance explanation of table
Symbol | Physical meaning |
S | Indicate school and Website Hosting by bus. |
V | Required school bus set after expression path optimization. |
C | Indicate that single school bus can carry maximum capacity |
i,j | Indicate school bus website serial number |
v | Indicate school bus serial number |
p | Indicate the speed of driving of school bus |
Tmax | Indicate the maximum duration of driving of school bus |
qi | Indicate that website i waits number of student |
yiv | Indicate whether school bus v passes through website i |
Wiv | Indicate the number got on the bus in school bus website i |
Dij | Indicate the distance between website i to website j |
Qiv | Indicate capacity of the school bus v after website i |
Qjv | Indicate capacity of the school bus v after website j |
xijv | Indicate vehicle v whether by website i to website j |
x0jv | Indicate vehicle v whether by starting point/terminal to website j |
In the present embodiment, for school bus quantity is minimized, the objective function of minimum school bus quantity is established:
f(x)1=min V
For driving of school bus distance is minimized, the objective function for minimizing driving of school bus distance is established:
Above-mentioned multiple objective function is converted by single-goal function using linear programming, obtains the school bus path planning mould
The objective function of type indicates are as follows:
Wherein, fpathIndicate the objective function of school bus path planning model, DijIndicate the distance between website i to website j,
xijvIndicate vehicle v whether by website i to website j, x0jvIndicate vehicle v whether by starting point/terminal to website j.
In the present embodiment, xijvIt indicates are as follows:
In the specific embodiment of aforementioned school bus paths planning method, further, according to student's family address with
And school address latitude and longitude coordinates and foundation school bus path planning model, utilize minimax ant group algorithm to realize more mesh
After calibration vehicle path planning, the method also includes:
In the region that each path is formed, the website number of all public transport is counted;
Acquisition station counts most public transport as target public transport, and the target public transport picks student for replacing school bus.
In the present embodiment, after being realized after multiple target school bus path planning using minimax ant group algorithm, may be used also
To replace school bus to pick student using bus.In order to which each path selects most suitable public transport, i.e. student has been picked in public transport
After can faster and more easily return to bus routes, the strategy of selection are as follows: Amap API can be called, in each path shape
At region in, count the website number of all public transport and be ranked up according to website number, public transport that acquisition station is counted most is used
Student is picked to replace school bus.
To sum up, the embodiment of the present invention proposes to solve the strategy of extensive school bus path planning, thus by large-scale school bus
Routing problem is converted into small-scale school bus path planning problem, using the strategy of first cluster rear path planning.The strategy can
Effectively reduce the data scale of school bus path planning, and consider simultaneously without departing from defined student to affiliated website it is maximum away from
From under conditions of carry out website selection, student group home site division and under multiple target school bus traffic route planning,
It can help education department's design low cost, practicable school bus route.
Embodiment two
The present invention also provides a kind of specific embodiments of school bus path planning apparatus, due to school bus road provided by the invention
Diameter device for planning is corresponding with the specific embodiment of aforementioned school bus paths planning method, which can lead to
It crosses the process step executed in above method specific embodiment to achieve the object of the present invention, therefore above-mentioned school bus path planning
Explanation in method specific embodiment is also applied for the specific embodiment party of school bus path planning apparatus provided by the invention
Formula will not be described in great detail in present invention specific embodiment below.
As shown in figure 3, the embodiment of the present invention also provides a kind of school bus path planning apparatus, comprising:
Module 11 is obtained, for obtaining the latitude and longitude coordinates in student's family address and school address;
Module 12 is established, most for the distance according to student to website apart from desired value and each student to affiliated website
Big value establishes school bus and stops site model;
Cluster module 13 gathers student's family address longitude and latitude for stopping site model according to the school bus of foundation
Class obtains the division information that school bus stops website and student's group's home site;
Planning module 14, for being stopped according to the latitude and longitude coordinates in obtained student's family address and school address, school bus
Division information by website and student's group's home site carries out path planning.
School bus path planning apparatus described in the embodiment of the present invention obtains the longitude and latitude of student's family address and school address
Spend coordinate;According to student to website apart from desired value and each student to affiliated website apart from maximum value, establish school bus and stop
By site model;Site model is stopped according to the school bus of foundation, student's family address longitude and latitude is clustered, school bus is obtained and stops
By the division information of website and student's group's home site;It is sat according to the longitude and latitude in obtained student's family address and school address
Mark, school bus stop website and the division information of student's group's home site carries out path planning;In this way, using laggard walking along the street is first clustered
The strategy of diameter planning carries out multiple target school bus path planning on the basis of obtaining reasonable school bus and stopping website, thus by extensive
School bus routing problem be converted into small-scale school bus path planning problem, can effectively reduce the data of school bus path planning
Scale.
It should be noted that, in this document, relational terms such as first and second and the like are used merely to a reality
Body or operation are distinguished with another entity or operation, are deposited without necessarily requiring or implying between these entities or operation
In any actual relationship or order or sequence.
The above is a preferred embodiment of the present invention, it is noted that for those skilled in the art
For, without departing from the principles of the present invention, several improvements and modifications can also be made, these improvements and modifications
It should be regarded as protection scope of the present invention.
Claims (9)
1. a kind of school bus paths planning method characterized by comprising
Obtain the latitude and longitude coordinates of student's family address and school address;
According to student to website apart from desired value and each student to affiliated website apart from maximum value, establish school bus bus stop
Point model;
Site model is stopped according to the school bus of foundation, student's family address longitude and latitude is clustered, school bus is obtained and stops website
With the division information of student's group's home site;
Website and student's group's ownership station are stopped according to the latitude and longitude coordinates in obtained student's family address and school address, school bus
The division information of point carries out path planning.
2. school bus paths planning method according to claim 1, which is characterized in that obtaining student's family address and
Before the latitude and longitude coordinates of school address, the method also includes:
Obtain student's family address and school address;
First time data cleansing is carried out to the student's family address and school address, wherein the first time data cleansing
Include: duplicate removal, remove missing values;
By after cleaning student's family address and school address be converted into corresponding latitude and longitude coordinates.
3. school bus paths planning method according to claim 1, which is characterized in that obtaining student's family address and
After the latitude and longitude coordinates of school address, the method also includes:
The latitude and longitude coordinates in student's family address and school address to acquisition carry out second of data cleansing, wherein described
Second of data cleansing includes: the cleaning of noise data, the cleaning of assigning null data, the cleaning of invalid data and customized cleaning.
4. school bus paths planning method according to claim 1, which is characterized in that the school bus stops the mesh of site model
Scalar functions: fs=min (K);
Constraint condition:
1≤K≤N
Wherein, fs=min (K) indicates that optimization aim is to keep school bus bus stop point quantity K minimum;K indicates that school bus stops of website
Number;Indicate that student i stops website C to school busjDistance;CjWebsite Hosting C={ C is stopped for school bus1,C2,
C3........CKIn element;R indicates to allow student to affiliated website apart from maximum value;Indicate website CjStudent
Number;The total number of persons of N expression student;Indicate whether student i is divided into website CjIn.
5. school bus paths planning method according to claim 1, which is characterized in that the school bus bus stop according to foundation
Point model clusters student's family address longitude and latitude, obtains the division letter that school bus stops website and student's group's home site
Breath includes:
S1, setting allow student, apart from maximum value r, to obtain student's family address latitude and longitude coordinates composition data to affiliated website
Collect D;
S2 randomly selects a point C in data set Di, and it is added to set C, C=as a cluster heart, that is, origin site
{Ci, and point C is removed in Di;
S3 is deleted in D apart from website CiLess than or equal to the point apart from maximum value r;
S4 jumps to S2 if set D is not sky;If set D is sky, set C is initial cluster heart C1,C2......CK;
S5 calculates each data in data set and each data is divided into similarity highest to the similarity between each cluster heart
Cluster in, to each cluster, calculate in cluster the mean value of all the points and using the mean value as the new cluster heart, update the position of the cluster heart;
S6 terminates if preset criterion function convergence Mr. Yu's value or the cluster heart do not change;Otherwise, S5 is jumped to.
6. school bus paths planning method according to claim 1, which is characterized in that the student's family that the basis obtains is lived
The latitude and longitude coordinates of location and school address, school bus stop website and the division information of student's group's home site carries out path planning
Include:
The division information of website and student's group's home site is stopped, according to obtained school bus to minimize school bus number and minimize school
Vehicle operating range is school bus path optimization target, establishes school bus path planning model;
According to the school bus path planning model of the latitude and longitude coordinates and foundation of student's family address and school address, using most
Big minimum ant group algorithm realizes multiple target school bus path planning.
7. school bus paths planning method according to claim 6, which is characterized in that the mesh of the school bus path planning model
Scalar functions indicate are as follows:
Wherein, fpathIndicate the objective function of school bus path planning model, DijIndicate the distance between website i to website j, xijv
Indicate vehicle v whether by website i to website j, x0jvIndicate vehicle v whether by starting point/terminal to website j.
8. school bus paths planning method according to claim 1, which is characterized in that according to student's family address and
The latitude and longitude coordinates of school address and the school bus path planning model of foundation realize multiple target school using minimax ant group algorithm
After vehicle path planning, the method also includes:
In the region that each path is formed, the website number of all public transport is counted;
Acquisition station counts most public transport as target public transport, and the target public transport picks student for replacing school bus.
9. a kind of school bus path planning apparatus characterized by comprising
Module is obtained, for obtaining the latitude and longitude coordinates in student's family address and school address;
Establish module, for according to student to website apart from desired value and each student to affiliated website apart from maximum value,
It establishes school bus and stops site model;
Cluster module clusters student's family address longitude and latitude, obtains for stopping site model according to the school bus of foundation
School bus stops the division information of website and student's group's home site;
Planning module, for stopping website according to the latitude and longitude coordinates in obtained student's family address and school address, school bus
Path planning is carried out with the division information of student's group's home site.
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