CN111209650A - Travel time saving value evaluation method and device considering road network service level - Google Patents

Travel time saving value evaluation method and device considering road network service level Download PDF

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CN111209650A
CN111209650A CN201911342300.7A CN201911342300A CN111209650A CN 111209650 A CN111209650 A CN 111209650A CN 201911342300 A CN201911342300 A CN 201911342300A CN 111209650 A CN111209650 A CN 111209650A
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张俊杰
李虹波
于海洋
杨灿
任毅龙
冀浩杰
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Hefei Innovation Research Institute of Beihang University
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Abstract

The invention discloses a travel time saving value estimation method and device considering road network service level, which are used for estimating the travel time saving value of travelers under the condition of considering the constraint condition of the road network service level. The method can be widely applied to the fields of traffic planning, traffic management and control and the like, and is beneficial to making a reasonable decision strategy in the estimation of traffic infrastructure investment by traffic planning and traffic management control departments.

Description

Travel time saving value evaluation method and device considering road network service level
Technical Field
The invention relates to the technical field of traffic planning, in particular to a travel time saving value evaluation method and device considering a road network service level.
Background
With the development of the road transportation industry, the problem of traffic jam will become more serious. Formulating a reasonable traffic management strategy is becoming an effective measure for alleviating congestion and improving travel efficiency. While train stations and public transportation stations may become a place of aggregation for non-commuters and commuters. Commuters are the determining factor for determining the peak of a public transportation station in the morning and at night. Therefore, studying commuters' travel behavior has received a wide range of attention from students.
Several of the first pioneering studies were directed to addressing travel time savings value-related studies, as such value is also of paramount importance in almost all traffic infrastructure or related project investment estimates. For the commuter, in order to save the travel time, the commuter must pay a high amount of toll fee or waste more travel time or non-working time to evade the toll fee. Therefore, the travel time saving value is an important index in the travel behavior analysis and traffic distribution model. With the development of the time allocation model, the travel time value-saving theory is also newly developed.
In the 60's of the 20 th century, traditional consumer behavior theory introduced time allocation and efficiency. Becker first proposed a general approach to time allocation in all non-working activities, who only treated non-working time and merchandise as contributing factors. Subsequently, a time allocation model for commuters' travel choices was introduced in some studies and a theory of time allocation was developed step by step, thereby proposing a concept of travel time saving value. Small builds a time allocation model with the departure time as one variable. Wardman and Waters II propose an assessment framework for travel time savings value. Jiang and Morikawa propose a travel behavior time allocation model in the general case, and discuss the relationship between travel time saving value and travel time, travel cost and income through a comparative static analysis method. Considering the importance of travel time saving value in traffic project evaluation, the theoretical framework is widely applied to empirical research. Ozbay and Yanmaz-Tuzel propose an extended time allocation model, consider the selection of departure and arrival times, study the relationship between travel time value, the selection of departure and arrival times, income and travel time, and verify the theoretical result with a Nested Logit model. Shang and Zhang propose a Nested Logit model to analyze the travel mode selection behavior on the basis of the basic theory of a non-ensemble model and the preference survey data. Although there has been a great deal of research using different discrete choice models to study the impact of different variables on travel time savings, it is still a hot topic today from the perspective of theoretical analysis to study variations in travel time savings that consider different variables, and extensions to the time allocation model will remain the focus of the research in the future.
Although scholars consider the impact of socioeconomic environmental factors including departure time selection, mode and route selection, income, physical condition, and personal preferences on the value saved by travel time. However, in the related literature retrieval process, the prior art does not consider the influence of an exogenous variable, namely service level, on the behavior of a traveler in travel selection, and estimates the travel time saving value based on a time distribution model.
Disclosure of Invention
The invention provides a travel time saving value evaluation method and device considering a road network service level, which can solve the technical problem that the travel time is too much wasted because the influence of exogenous variables of the service level on the behavior of a traveler in a trip selection is not considered in the prior art.
In order to achieve the purpose, the invention adopts the following technical scheme:
a travel time saving value assessment method considering a road network service level, comprising:
performing, by a computer device, the steps of:
s100, carrying out extended modeling on a classical time allocation model through a constraint condition with a service level variable;
s200, setting corresponding constraint conditions according to the expanded time distribution model;
s300, obtaining a Lagrangian equation of the model based on the time distribution model expanded by the S200;
s400, deducing a travel time saving value estimation formula considering the road network service level based on the travel time saving value calculation formula and by combining the analysis result of the expanded time distribution model of the S300;
wherein, the travel time saving value estimation formula considering the road network service level is as follows:
Figure BDA0002331793520000031
where VOTTS represents travel time saving value,
Figure BDA0002331793520000032
i (i ═ 1, …, r) represents a travel route or travel mode selection number, T represents total available time, C represents total income of the traveler, α represents road network service level, T represents travel route or travel mode selection number, T represents total income of the traveler, and T represents road network service leveliRepresenting the time of the vehicle in the selected route or travel mode i, t represents the time,
Figure BDA0002331793520000033
representing the minimum time requirement spent in the path or travel mode i,
Figure BDA0002331793520000034
indicates the latency, piRepresenting the required cost, t, in the route or travel mode iDiRepresenting the desired arrival time in the route or travel mode i,
Figure BDA0002331793520000035
indicating that the time is earlier when selecting the route or travel mode i, other constant parameters ζ2、ζ3、ζ4、
Figure BDA0002331793520000036
Figure BDA0002331793520000037
d2、d3、
Figure BDA0002331793520000038
τ1、τ2。
In another aspect, the present invention further discloses a travel time saving value evaluation device considering road network service level, comprising the following units:
the modeling unit is used for carrying out extended modeling on the classical time allocation model through a constraint condition with a service level variable;
the constraint condition setting unit is used for setting corresponding constraint conditions according to the expanded time distribution model;
a model processing unit for obtaining a Lagrangian equation of the model based on the extended time allocation model;
and the evaluation unit is used for deducing a travel time saving value estimation formula considering the road network service level based on the travel time saving value calculation formula and in combination with the analysis result of the expanded time distribution model.
Meanwhile, the invention also discloses a computer readable storage medium, which stores a computer program, and the computer program is executed by a processor to realize the steps of the travel time saving value evaluation method considering the service level of the road network.
According to the technical scheme, the travel time saving value evaluation method considering the road network service level is particularly constructed by considering the limit of the road network service level, so that the travel time saving value of a traveler is estimated by considering the road network service level, and the method can be widely applied to the fields of traffic planning, traffic management and control and the like.
The method is based on a classical time distribution model, considers the constraint condition of the road network service level, establishes a time distribution model considering the constraint condition of the road network service level, obtains a road network service level marginal utility function through model analysis, and further deduces a travel time saving value estimation formula considering the road network service level. The invention is helpful for traffic planning and traffic management control departments to make reasonable decision strategies in the investment estimation of traffic infrastructure.
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FIG. 1 is a flow chart of a method of the present invention;
fig. 2 is a schematic diagram illustrating a variation of utility function with a service level of a network according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, 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 some, but not all, embodiments of the present invention.
The embodiment of the invention provides a budget time reliability constraint condition based on a classical time allocation model under the condition of considering different road network service levels, introduces road network service level parameters, and establishes a travel time saving value estimation method considering the road network service levels.
As shown in fig. 1, the method for evaluating travel time saving value considering road network service level according to this embodiment includes:
performing, by a computer device, the steps of:
s100, carrying out extended modeling on a classical time allocation model through a constraint condition with a service level variable;
s200, setting corresponding constraint conditions according to the expanded time distribution model;
s300, obtaining a Lagrangian equation of the model based on the time distribution model expanded by the S200;
and S400, deducing a travel time saving value estimation formula considering the road network service level based on the travel time saving value calculation formula and by combining the analysis result of the expanded time distribution model of the S300.
The following is a detailed description:
(1) establishing a utility function considering the road network service level:
Figure BDA0002331793520000051
wherein V (-) represents a utility function, α represents a level of network service, t represents time, p represents a cost of purchasing goods, andirepresenting the required cost, t, in the route or travel mode iiIndicating the time of the vehicle in the alternative route or travel mode i,
Figure BDA0002331793520000052
represents the minimum time requirement spent in the route or travel mode i, T represents the total available time, C represents the total income of the traveler,
Figure BDA0002331793520000053
indicates the waiting time, tDiRepresenting the desired arrival time in the route or travel mode i,
Figure BDA0002331793520000054
indicating the early arrival time when the route or travel pattern i is selected.
(2) Establishing a constraint condition:
Figure BDA0002331793520000055
Figure BDA0002331793520000056
Figure BDA0002331793520000057
Figure BDA0002331793520000058
Figure BDA0002331793520000059
Figure BDA00023317935200000510
in the formula ,ξyRepresents the budget travel time when selecting the path or the travel mode i, and pr {. cndot.) represents the probability.
(3) Establishing a time distribution model considering the road network service level:
an objective function:
Figure BDA00023317935200000511
constraint conditions are as follows:
Figure BDA00023317935200000512
Figure BDA0002331793520000061
Figure BDA0002331793520000062
Figure BDA0002331793520000063
Figure BDA0002331793520000064
Figure BDA0002331793520000065
Figure BDA0002331793520000066
in the formula, λ, μ, ki，φi，ρi，
Figure BDA0002331793520000067
Lagrange multiplier, a, representing constraintsiIf the route or the travel mode i is selected, the value is 1, otherwise, the value is 0; biWhen a route or a travel pattern i is selected, if the destination is reached earlier, the value is 1, otherwise, the value is 0.
(4) Establishing a Lagrange equation of a model:
Figure BDA0002331793520000068
obtaining V according to the envelope theoremiAnd at the mean of the variables
Figure BDA0002331793520000069
Taylor expansion is performed.
(5) Establishing a utility function mathematical expression:
Figure BDA00023317935200000610
wherein ,
Figure BDA00023317935200000611
Figure BDA00023317935200000612
ζ1、ζ2、ζ3、ζ4、
Figure BDA00023317935200000613
Figure BDA00023317935200000614
d2、d3、d4、d5、
Figure BDA00023317935200000615
τ1、τ2、
Figure BDA00023317935200000616
and ω1Is a constant parameter.
(6) Travel time saving value estimation considering road network service level:
Figure BDA0002331793520000071
fig. 2 is a schematic diagram of the utility function along with the change of the service level of the road network, and it can be known from fig. 2 that the trip utility value of a traveler increases along with the increase of the service level of the road network, therefore, the service level of the road network has an important influence on the travel time saving value; thus, using the route map of the FIG. 1 technique we can derive a travel time cost savings estimation method that takes into account the road network service level.
In another aspect, the present invention further discloses a travel time saving value evaluation device considering road network service level, comprising the following units:
the modeling unit is used for carrying out extended modeling on the classical time allocation model through a constraint condition with a service level variable;
the constraint condition setting unit is used for setting corresponding constraint conditions according to the expanded time distribution model;
a model processing unit for obtaining a Lagrangian equation of the model based on the extended time allocation model;
and the evaluation unit is used for deducing a travel time saving value estimation formula considering the road network service level based on the travel time saving value calculation formula and in combination with the analysis result of the expanded time distribution model.
It is understood that the system provided by the embodiment of the present invention corresponds to the method provided by the embodiment of the present invention, and the explanation, the example and the beneficial effects of the related contents can refer to the corresponding parts in the method.
The embodiment of the application also provides an electronic device, which comprises a processor, a communication interface, a memory and a communication bus, wherein the processor, the communication interface and the memory complete mutual communication through the communication bus,
a memory for storing a computer program;
a processor for implementing the above travel time savings value assessment method taking into account road network service levels when executing a program stored in a memory, the method comprising:
s100, constructing a trip cost value function, and establishing a trip cost value function of a general traveler by taking the waiting time and the early arrival time as exogenous variables;
s100, carrying out extended modeling on a classical time allocation model through a constraint condition with a service level variable;
s200, setting corresponding constraint conditions according to the expanded time distribution model;
s300, obtaining a Lagrangian equation of the model based on the time distribution model expanded by the S200;
and S400, deducing a travel time saving value estimation formula considering the road network service level based on the travel time saving value calculation formula and by combining the analysis result of the expanded time distribution model of the S300.
The communication bus mentioned in the electronic device may be a Peripheral Component Interconnect (PCI) bus or an Extended Industry Standard Architecture (EISA) bus. The communication bus may be divided into an address bus, a data bus, a control bus, etc. For ease of illustration, only one thick line is shown, but this does not mean that there is only one bus or one type of bus.
The communication interface is used for communication between the electronic equipment and other equipment.
The Memory may include a Random Access Memory (RAM) or a Non-Volatile Memory (NVM), such as at least one disk Memory. Optionally, the memory may also be at least one memory device located remotely from the processor.
The Processor may be a general-purpose Processor, including a Central Processing Unit (CPU), a Network Processor (NP), and the like; the Integrated Circuit may also be a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), a Field Programmable Gate Array (FPGA), or other Programmable logic devices, discrete Gate or transistor logic devices, or discrete hardware components.
In yet another embodiment provided herein, a computer-readable storage medium is also provided, having a computer program stored therein, which when executed by a processor, performs the steps of any of the above travel time saving value assessment methods that consider the level of web services.
In yet another embodiment provided herein, there is also provided a computer program product containing instructions which, when run on a computer, cause the computer to perform any of the above described methods of travel time savings value assessment that takes into account road network service levels.
In the above embodiments, the implementation may be wholly or partially realized by software, hardware, firmware, or any combination thereof. When implemented in software, may be implemented in whole or in part in the form of a computer program product. The computer program product includes one or more computer instructions. When loaded and executed on a computer, cause the processes or functions described in accordance with the embodiments of the application to occur, in whole or in part. The computer may be a general purpose computer, a special purpose computer, a network of computers, or other programmable device. The computer instructions may be stored in a computer readable storage medium or transmitted from one computer readable storage medium to another, for example, from one website site, computer, server, or data center to another website site, computer, server, or data center via wired (e.g., coaxial cable, fiber optic, Digital Subscriber Line (DSL)) or wireless (e.g., infrared, wireless, microwave, etc.). The computer-readable storage medium can be any available medium that can be accessed by a computer or a data storage device, such as a server, a data center, etc., that incorporates one or more of the available media. The usable medium may be a magnetic medium (e.g., floppy Disk, hard Disk, magnetic tape), an optical medium (e.g., DVD), or a semiconductor medium (e.g., Solid State Disk (SSD)), among others. It is noted that, herein, relational terms such as first and second, and the like may be used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Also, 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 examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.

Claims (8)

1. A travel time saving value evaluation method considering a road network service level is characterized in that: performing, by a computer device, the steps of:
s100, carrying out extended modeling on a classical time allocation model through a constraint condition with a service level variable;
s200, setting corresponding constraint conditions according to the expanded time distribution model;
s300, obtaining a Lagrangian equation of the model based on the time distribution model expanded by the S200;
and S400, deducing a travel time saving value estimation formula considering the road network service level based on the travel time saving value calculation formula and by combining the analysis result of the expanded time distribution model of the S300.
2. The method of claim 1 for estimating travel time savings value considering road network service level, wherein: s100, carrying out extended modeling on a classical time allocation model through a constraint condition with a service level variable;
the method comprises the following steps of establishing a utility function considering the road network service level:
Figure FDA0002331793510000011
wherein V (-) represents a utility function, α represents a level of network service, t represents time, p represents a cost of purchasing goods, andirepresenting the required cost, t, in the route or travel mode iiIndicating the time of the vehicle in the alternative route or travel mode i,
Figure FDA0002331793510000012
represents the minimum time requirement spent in the route or travel mode i, T represents the total available time, C represents the total income of the traveler,
Figure FDA0002331793510000013
indicates the waiting time, tDiRepresenting the desired arrival time in the route or travel mode i,
Figure FDA0002331793510000014
indicating the early arrival time when the route or travel pattern i is selected.
3. The travel time saving value evaluation method considering the level of road network service according to claim 2, characterized in that: the S200 sets corresponding constraint conditions according to the expanded time distribution model;
the method comprises the following steps:
according to the established utility function considering the road network service level, constructing corresponding constraint conditions:
Figure FDA0002331793510000015
Figure FDA0002331793510000016
Figure FDA0002331793510000017
Figure FDA0002331793510000018
Figure FDA0002331793510000019
Figure FDA0002331793510000021
in the formula ,ξyRepresents the budget travel time when selecting the path or the travel mode i, and pr {. cndot.) represents the probability.
4. The method of claim 3 wherein said evaluation method of travel time savings value taking into account road network service levels comprises: the S300 obtains a Lagrangian equation of the model based on the time distribution model expanded by the S200;
the method comprises the following steps:
the method comprises the following steps of establishing a time distribution model considering the road network service level by taking the maximum value of a utility function considering the road network service level as an objective function and the constructed constraint conditions, wherein the model comprises the following steps:
an objective function:
Figure FDA0002331793510000022
constraint conditions are as follows:
Figure FDA0002331793510000023
Figure FDA0002331793510000024
Figure FDA0002331793510000025
Figure FDA0002331793510000026
Figure FDA0002331793510000027
Figure FDA0002331793510000028
Figure FDA0002331793510000029
in the formula, λ, μ, ki，φi，ρi，θiLagrange multiplier, a, representing constraintsiIf the route or the travel mode i is selected, the value is 1, otherwise, the value is 0; biWhen a route or a travel pattern i is selected, if the destination is reached earlier, the value is 1, otherwise, the value is 0.
5. The method of claim 4 wherein said evaluation method of travel time savings value taking into account road network service levels comprises: the S300 obtains a Lagrangian equation of the model based on the time distribution model expanded by the S200;
the method comprises the following steps:
based on the established time distribution model considering the road network service level, a Lagrange equation is established:
Figure FDA00023317935100000210
。
6. the method of claim 5 wherein said evaluation method takes into account the level of road network services for travel time savings, comprises: the S400 deduces a travel time saving value estimation formula considering the road network service level based on the travel time saving value calculation formula and by combining the analysis result of the expanded time distribution model of the S300;
the method comprises the following steps:
according to the envelope theorem and at the mean value of each variable
Figure FDA0002331793510000031
Carrying out Taylor expansion and establishing a utility function ViThe mathematical expression of (a):
Figure FDA0002331793510000032
wherein ,
Figure FDA0002331793510000033
Figure FDA0002331793510000034
d2、d3、d4、d5、
Figure FDA0002331793510000035
τ1、τ2、
Figure FDA0002331793510000036
and ω1Is a constant parameter;
based on utility function ViUsing travel time periodsAnd (3) deducing a travel time saving value estimation formula considering the road network service level by using a value saving calculation formula:
Figure FDA0002331793510000037
7. a travel time saving value evaluation apparatus considering a level of a road network service, characterized in that: the method comprises the following units:
the modeling unit is used for carrying out extended modeling on the classical time allocation model through a constraint condition with a service level variable;
the constraint condition setting unit is used for setting corresponding constraint conditions according to the expanded time distribution model;
a model processing unit for obtaining a Lagrangian equation of the model based on the extended time allocation model;
and the evaluation unit is used for deducing a travel time saving value estimation formula considering the road network service level based on the travel time saving value calculation formula and in combination with the analysis result of the expanded time distribution model.
8. A computer-readable storage medium having stored thereon a computer program which, when being executed by a processor, carries out the steps of the travel time saving value assessment method taking into account road network service levels of any one of claims 1 to 6.
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