CN113256975A - Airport land side road traffic jam influence range determining method based on cascade failure - Google Patents
Airport land side road traffic jam influence range determining method based on cascade failure Download PDFInfo
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- G—PHYSICS
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- G—PHYSICS
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Abstract
A method for determining an airport land side road traffic jam influence range based on cascade failure. The method comprises the steps of constructing an airport land side road traffic network and a trip network of travelers, and setting OD flow of each OD pair in the trip network; initially distributing the OD flow of each OD pair to an airport land side road traffic network, and determining the road saturation of each directed road section before the cascade failure; obtaining the road saturation of each directed road section after cascade failure; determining the influence range of traffic jam in the airport land-side road traffic network, and the like. The invention has the following effects: the method is simple, the influence range of the congestion spread in the airport land side road traffic network can be determined, and when the airport land side road traffic congestion is faced, relevant traffic control measures can be taken conveniently at the first time so as to guarantee the operation efficiency of the airport land side road traffic system.
Description
Technical Field
The invention belongs to the technical field of traffic network control, and particularly relates to a method for determining an airport land side road traffic jam influence range based on cascade failure.
Background
The airport land side road traffic network is the key for connecting the airport air side and the urban area, and as the turnover of civil aviation passengers and the quantity of social vehicles kept increase year by year, the distributed transportation demand of the airport land side road traffic system is rapidly increased, and the traffic jam problem becomes an important factor influencing the continuous improvement of the civil aviation service quality and the cooperative operation efficiency. Defining the influence range of traffic jam in the airport land-side road traffic network is the basis for making targeted airport land-side road traffic control measures.
In the aspect of guaranteeing effective operation of airport land side traffic systems, researchers have studied on airport land side traffic modes, traffic facility layouts, traffic operation management and the like, but there are few literature reports on the congestion influence range of airport land side road traffic.
Disclosure of Invention
In order to solve the above problems, the present invention aims to provide a method for determining an airport land side road traffic congestion influence range based on cascade failure.
In order to achieve the above object, the method for determining the airport land side road traffic congestion influence range based on cascade failure provided by the invention comprises the following steps in sequence:
step 1) constructing an airport land side road traffic network and a trip network of travelers, and determining the capacity C of each directed road section a in the airport land side road traffic networkaSetting OD flow of each OD pair in the trip network;
step 2) Capacity C based on the directed road section aaObtaining the impedance e between adjacent nodes i, jijThen with the impedance e between adjacent nodes i, jijDetermining the initial load L of each directed road section a in the airport land side road traffic network according to the OD flow of each OD pair in the travel network initially distributed to the airport land side road traffic networka(0) Further, the road saturation (v) of each directed road section a under the initial condition, namely before the cascade failure is obtaineda/ca)q；
Step 3) selecting one directed road section from the airport land side road traffic network at the time t as a directed road section which is failed due to traffic jam, constructing a cascade failure model of the airport land side road traffic network, and obtaining the initial load L of each directed road section in the airport land side road traffic network after cascade failurea(t) further obtaining road saturation (v/c) of each directed road section in the airport land side road traffic network after cascade failureh；
Step 4) obtaining the road saturation (v) of each directed road section a in the airport land side road traffic network before the cascade failure according to the step 2)a/ca)qAnd step 3) obtaining the road saturation (v) of each directed road section after cascade failurea/ca)hAnd determining the influence range of the traffic jam in the airport land side road traffic network.
In step 1), the airport land side road traffic network and the traveler's travel network are constructed, and the capacity C of each directed road section a in the airport land side road traffic network is determinedaAnd the method for setting the OD flow of each OD pair in the trip network comprises the following steps:
constructing an airport land side road traffic network by combining an airport land side actual road structure; the road intersection in the airport land side road traffic network is represented as a node, and the directed edge represents a directed road section connecting adjacent nodes; selecting partial nodes in the airport land side road traffic network as starting points or end points of trips of travelers to construct a trip network of the travelers; a starting point r or an end point s of traveler travel in the travel network is represented as a node, directed edges represent a connection line from the starting point to the end point of the traveler, and each directed edge determines an OD (OD) pair (r, s);
determining the capacity C of each directed road section a in the airport land side road traffic network according to the actual situation of each directed road section aa(ii) a Counting signal lamp time length T of all nodes in all directions in airport land side road traffic networkjSignal lamp green signal ratio lambdajSaturation flow rate sjAnd free flow time of each directed segment a
And setting OD flow Q of each OD pair in the trip networkODI.e. the traffic flow from the starting point r to the end point s;
capacity C of directed link aaThe expression of (1) is;
in the formula:
the theoretical traffic capacity of the directed road section a is pcu/h; beta is a1Is a multilane correction factor; beta is a2A lane width reduction coefficient; beta is a3And is the intersection reduction coefficient.
In step 2), the capacity C based on the directed link aaObtaining the impedance e between adjacent nodes i, jijThe expression of (a) is:
eij＝tij+dij
in the formula, tijThe travel time of the directed link a between the adjacent nodes i, j,
free flow time, L, for directed path segment a between adjacent nodes i, jaThe traffic flow of the directed road section a between the adjacent nodes i and j is represented by alpha and beta which are retardation coefficients and are respectively 0.15 and 4; dijDelay caused by inlet ducts adjacent to nodes i, j, TjSignal lamp duration, λ, for node jjSignal-to-green ratio, s, for node jjSaturated traffic flow at node jAn amount;
the impedance e between adjacent nodes i and jijAccording to the OD flow of each OD pair in the travel network, the OD flow is initially distributed to the airport land side road traffic network, and the initial load L of each directed road section a in the airport land side road traffic network is determineda(0) Further, the road saturation (v) of each directed road section a under the initial condition, namely before the cascade failure is obtaineda/ca)qThe method comprises the following steps:
step 21), let D be (r, s) as the starting point r, the OD pair of the end point s, according to the impedance e between the adjacent nodes i, jijCalculating the impedance of the kth effective path in D
Impedance of k-th effective path
The expression of (a) is:
in the formula (I), the compound is shown in the specification,
as decision variable, if there is a k-th effective path of the directed road section a in D between the adjacent nodes i and j, the decision variable is
Otherwise, the value is 0;
the impedance of the shortest path in time D; gamma is a threshold parameter, and is 1.2;
step 22), resistance according to the k-th effective path in DResist against
Calculating the probability of the k-th effective path in D being selected
Probability of k-th effective path being selected in D
The expression of (a) is:
in the formula (I), the compound is shown in the specification,
the average impedance of all effective paths in the time D of t; mu is a distribution parameter, and 3.2 is taken;
step 23), according to the probability of the k-th effective path in D being selected
And the OD flow Q of the corresponding OD pair in the trip networkODTo obtain the first OD flow
And loading the data into an airport land side road traffic network to obtain the traffic flow of each directed road section a
Traffic flow of each directed link a
The expression of (a) is:
step 24), traffic flow according to each directed link a
Updating the impedance e between adjacent nodes i, j in airport land side road traffic networkijAnd repeating the steps 21) to 23) until the residual Z-1 part of OD flow rate
All the traffic flow is loaded into the airport land side road traffic network to obtain the corresponding traffic flow of each directed road section a
Updating the impedance e between adjacent nodes i and j in the airport land side road traffic network once every loading of OD flowijFinally, the initial traffic flow of each directed road section a, namely the initial load L is obtaineda(0)；
Initial load L of each directed link aa(0) The expression of (a) is:
road saturation (v) of each directed road section a under initial conditions, i.e. before cascade failurea/ca)qThe expression of (a) is:
in step 3), selecting one directed road section from the airport land side road traffic network at the time t as a directed road section which fails due to traffic jam, constructing a cascade failure model of the airport land side road traffic network, and obtaining initial loads L of all directed road sections in the airport land side road traffic network after cascade failurea(t) further obtaining road saturation (v/c) of each directed road section in the airport land side road traffic network after cascade failurehMethod (2)The method comprises the following steps:
step 31), selecting a directed road section a from the airport land side road traffic network at the moment tiSetting the congestion time as t as a directed road section which fails due to traffic congestiondAt the time of congestion tdWithin, the directed road segment a is deleted in the airport land side road traffic networkiUpdating the airport land side road traffic network structure and according to the initial load L of each directed road section a in the airport land side road traffic network before the cascade failurea(0) And capacity C of each directed link aaDetermining the impedance e between adjacent nodes i and j in the airport land side road traffic network at the moment tij(t)；
Step 32) according to the impedance e between the adjacent nodes i and j in the airport land side road traffic network at the time t obtained in the step 31)ij(t) redistributing OD flow of each OD pair in the travel network to the updated airport land side road traffic network to obtain initial load L of each directed road section a in the updated airport land side road traffic networka(t) and road saturation (v)a/ca)h；
Step 33), judging the road saturation (v) of each directed road section a in the airport land-side road traffic network after updatinga/ca)hIf greater than 1, if the road saturation (v) of a directed road segment is greater than 1a/ca)hIf the load is more than 1, deleting the directed road section, and then according to the initial load L of each directed road section a in the updated airport land side road traffic network obtained in the step 32)a(t) updating the impedance e between adjacent nodes i, j in the airport land side road traffic networkij(t) updating the airport land side road traffic network, then returning to the step 32), otherwise, outputting the road saturation (v) of each other directed road section in the airport land side road traffic networka/ca)h。
In step 4), the road saturation (v) of each directed road section a in the airport land-side road traffic network before cascade failure obtained according to the step 2)a/ca)qAnd step 3) obtaining the road saturation (v) of each directed road section after cascade failurea/ca)hThe method for determining the influence range of traffic jam in the airport land side road traffic network comprises the following steps:
according to the road saturation (v) of each directed road section a in the airport land-side road traffic network under the initial condition before cascade failurea/ca)qAnd road saturation (v) of each directed road segment after cascade failurea/ca)hJudging whether each directed road section a meets one of the following 2 conditions one by one:
1. the same directed road section a is not in the same service level grade S before and after the cascade failure;
2. the same directed road section a is in the same service level grade S before the cascade failure, but the difference of the road saturation of the same directed road section a and the road saturation of the same directed road section a is larger than half of the difference of the upper and lower bounds of the road saturation of the service level grade;
the expression is as follows:
in the formula: shThe service level grade of the directed road section a after the cascade failure; sqThe service level grade of the directed road section a before the cascade failure; r is the difference value between the upper and lower bounds of the road saturation of the service level grade; (v)a/ca)hThe road saturation of the directed road section a after the cascade failure; (v)a/ca)qThe road saturation of the directed road section a before the cascade failure; the relationship between the service level S of the directed link a and the road saturation thereof satisfies the following equation:
if a certain directed road section a meets one of the above 2 conditions, the directed road section a is considered to be influenced, and the influence range of traffic jam in the airport land side road traffic network is determined.
The method for determining the airport land side road traffic jam influence range based on cascade failure has the following beneficial effects: the method is simple, the influence range of the congestion spread in the airport land side road traffic network can be determined, and when the airport land side road traffic congestion is faced, relevant traffic control measures can be taken conveniently at the first time so as to guarantee the operation efficiency of the airport land side road traffic system.
Drawings
Fig. 1 is a flowchart of a method for determining an airport land side road traffic congestion influence range based on cascade failure according to the present invention.
FIG. 2 is a schematic diagram of a land-side road traffic network of an airport terminal according to an embodiment of the present invention;
fig. 3 is a schematic diagram of a road traffic travel network on the land side of a certain airport terminal provided by an embodiment of the present invention.
Detailed Description
The invention is described in detail below with reference to the figures and specific embodiments.
As shown in fig. 1, the method for determining the airport land-side road traffic congestion influence range based on cascade failure provided by the invention comprises the following steps in sequence:
step 1) constructing an airport land side road traffic network and a trip network of travelers, and determining the capacity C of each directed road section a in the airport land side road traffic networkaSetting OD (origin and Destination) flow of each OD pair in the trip network;
and constructing a land side road traffic network of an airport by combining with an actual land side road structure of the airport, as shown in figure 2. The road intersections in the airport land-side road traffic network are represented as nodes, the directed edges represent directed road sections connecting adjacent nodes, and the total number of the nodes is 19 and 54 directed road sections. The node 1, the node 2, the node 5, the node 6 and the node 15 in the airport land side road traffic network are selected as the starting point or the end point of the traveler trip to construct the trip network of the traveler, as shown in fig. 3. A starting point r or an end point s of traveler travel in the travel network is represented as a node, directed edges represent a connection line from the starting point to the end point of the traveler, and each directed edge determines an OD (OD) pair (r, s);
determining the capacity C of each directed road section a in the airport land side road traffic network according to the actual situation of each directed road section aa(ii) a Counting signal lamp time length T of all nodes in all directions in airport land side road traffic networkjSignal lamp green signal ratio lambdajSaturation flow rate sjAnd free flow time of each directed segment a
And setting OD flow Q of each OD pair in the trip networkODI.e. the traffic flow from the starting point r to the end point s.
Capacity C of directed link aaThe expression of (1) is;
in the formula:
the theoretical traffic capacity of the directed road section a is pcu/h; beta is a1Is a multilane correction factor; beta is a2A lane width reduction coefficient; beta is a3And is the intersection reduction coefficient.
The OD traffic for each OD pair in the outbound network is shown as the values on each directed edge in fig. 3.
Step 2) Capacity C based on the directed road section aaObtaining the impedance e between adjacent nodes i, jijThen with the impedance e between adjacent nodes i, jijDetermining the initial load L of each directed road section a in the airport land side road traffic network according to the OD flow of each OD pair in the travel network initially distributed to the airport land side road traffic networka(0) Further, the road saturation (v) of each directed road section a under the initial condition, namely before the cascade failure is obtaineda/ca)q；
Impedance e between adjacent nodes i, jijFrom the travel time t of the directed route section a between adjacent nodes i, jijAnd delay d caused by inlet ducts adjacent to nodes i, jijComposition according to the capacity C of the directed link aaFree stream time
And signal lamp time length T of each direction of the node jjSignal lamp green signal ratio lambdajSaturation flow rate sjDetermining the impedance e between adjacent nodes i, jij. By the impedance e between adjacent nodes i, jijDetermining the initial traffic flow of each directed road section a in the airport land side road traffic network, namely the initial load L according to the initial distribution of the OD flow of each OD pair in the travel network to the airport land side road traffic networka(0) (ii) a Further, the road saturation ((v) of each directed road section a before the cascade failure under the initial condition is obtaineda/ca)q。
Impedance e between adjacent nodes i, jijThe expression of (a) is:
eij＝tij+dij
in the formula, tijThe travel time of the directed link a between the adjacent nodes i, j,
free flow time, L, for directed path segment a between adjacent nodes i, jaThe traffic flow of the directed road section a between the adjacent nodes i and j is represented by alpha and beta which are retardation coefficients and are generally 0.15 and 4 respectively; dijDelay caused by inlet ducts adjacent to nodes i, j, TjSignal lamp duration, λ, for node jjSignal-to-green ratio, s, for node jjIs the saturated traffic flow of node j.
Initial distribution of OD traffic of each OD pair in outgoing networkWhen arriving at the airport land-side road traffic network, the traveler prefers to select the shortest path between the starting point r and the end point s, but in practice the shortest path is not always selected, other paths may be selected, all the selected paths are collectively called the effective path, and the impedance of the effective path should not exceed the bearing range of the traveler. Defining the shortest path as the path with the minimum travel time between OD pairs (r, s) due to the impedance e between adjacent nodes i, jijChanges with changes in traffic flow and thus the effective path is not a constant one. Setting the traffic flow of each directed road section a in the airport land side road traffic network as 0pcu/h at the time t is 0, and setting the OD flow Q of each OD pair in the travel networkODDivided equally into Z parts (Z is 3 in this example) by the impedance e between adjacent nodes i, jijAccording to the OD flow Q of each OD pair in the travel networkODAllocating the initial traffic flow to the airport land side road traffic network one by one to obtain the initial load L of each directed road section a in the airport land side road traffic networka(0) (ii) a Then based on the initial load L of each directed road segment aa(0) And capacity CaObtaining the road saturation (v) of each directed road section a under the initial condition, namely before the cascade failurea/ca)q。
The method comprises the following specific steps:
step 21), let D be (r, s) as the starting point r, the OD pair of the end point s, according to the impedance e between the adjacent nodes i, jijCalculating the impedance of the kth effective path in D
Impedance of k-th effective path
The expression of (a) is:
in the formula (I), the compound is shown in the specification,
as decision variable, if there is a k-th effective path of the directed road section a in D between the adjacent nodes i and j, the decision variable is
Otherwise, the value is 0;
the impedance of the shortest path in time D; gamma is a threshold parameter, and is 1.2;
step 22), impedance according to the k-th effective path in D
Calculating the probability of the k-th effective path in D being selected
Probability of k-th effective path being selected in D
The expression of (a) is:
in the formula (I), the compound is shown in the specification,
the average impedance of all effective paths in the time D of t; mu is the distribution parameter, and 3.2 is taken.
Step 23), according to the probability of the k-th effective path in D being selected
Corresponding in the travel networkOD flow Q of OD pairsODTo obtain the first OD flow
And loading the data into an airport land side road traffic network to obtain the traffic flow of each directed road section a
Traffic flow of each directed link a
The expression of (a) is:
step 24), traffic flow according to each directed link a
Updating the impedance e between adjacent nodes i, j in airport land side road traffic networkijAnd repeating the steps 21) to 23) until the residual Z-1 part of OD flow rate
All the traffic flow is loaded into the airport land side road traffic network to obtain the corresponding traffic flow of each directed road section a
Updating the impedance e between adjacent nodes i and j in the airport land side road traffic network once every loading of OD flowijFinally, the initial traffic flow of each directed road section a, namely the initial load L is obtaineda(0)；
Initial load L of each directed link aa(0) The expression of (a) is:
road saturation (v) of each directed road section a under initial conditions, i.e. before cascade failurea/ca)qThe expression of (a) is:
step 3) selecting one directed road section from the airport land side road traffic network at the time t as a directed road section which is failed due to traffic jam, constructing an airport land side road traffic network cascade failure model for describing the propagation process of the traffic jam of a certain directed road section in the airport land side road traffic network, and obtaining the initial load L of each directed road section in the airport land side road traffic network after cascade failurea(t) further obtaining road saturation (v/c) of each directed road section in the airport land side road traffic network after cascade failureh；
Selecting a directed road section a from the airport land side road traffic network at the moment tiAs the directed link causing the failure due to the occurrence of traffic congestion, directed link aiAfter the failure, other directed road sections or nodes in the airport land side road traffic network are caused to fail successively, so that a chain reaction is formed, and finally, the airport land side road traffic network is completely or partially broken down, and the successive failure process is called cascade failure. The initial load L of each directed road section a in the airport land side road traffic network obtained in the step 2) isa(0) And road saturation (v) of each directed link a in the initial conditiona/ca)qIs for describing directed road section aiAnd (3) the initial traffic state of each directed road section a in the airport land-side road traffic network before the cascade failure caused by the traffic jam.
Constructing an airport land side road traffic network cascade failure model to describe a factor directed road section aiThe initial traffic flow of each directed road section a in the airport land side road traffic network after cascade failure, namely the initial load L, is obtained in the process of spreading the traffic jam in the airport land side road traffic networka(t) obtaining the airport land side road traffic network after cascade failureRoad saturation (v) of each directed segment a in the networka/ca)hThe method is used for describing the traffic state of each directed road section a in the airport land side road traffic network after the cascade failure;
the method comprises the following specific steps:
step 31), selecting a directed road section a from the airport land side road traffic network at the moment tiAs the directed road section which fails due to traffic jam, the directed road section a is selected in the embodiment25Setting the congestion time to tdAt the time of congestion tdWithin, the directed road segment a is deleted in the airport land side road traffic network25Updating the airport land side road traffic network structure and according to the initial load L of each directed road section a in the airport land side road traffic network before the cascade failurea(0) And capacity C of each directed link aaDetermining the impedance e between adjacent nodes i and j in the airport land side road traffic network at the moment tij(t)；
Step 32) according to the impedance e between the adjacent nodes i and j in the airport land side road traffic network at the time t obtained in the step 31)ij(t) redistributing OD flow of each OD pair in the travel network to the updated airport land side road traffic network to obtain initial load L of each directed road section a in the updated airport land side road traffic networka(t) and road saturation (v)a/ca)h；
In the process of OD flow redistribution, the flow in the airport land side road traffic network has a delayed loading phenomenon, and the propagation delay of each directed road section a is the initial load La(0) Impedance after loading
In the effective path k, n is the number of directed links of the effective path k, and the effective path k is at the congestion time t along the traffic flow directiondInner (T)l<td) And the flow loading time of the ith directed road section is as follows:
step 33), judging the road saturation (v) of each directed road section a in the airport land-side road traffic network after updatinga/ca)hIf greater than 1, if the road saturation (v) of a directed road segment is greater than 1a/ca)hIf the load is more than 1, deleting the directed road section, and then according to the initial load L of each directed road section a in the updated airport land side road traffic network obtained in the step 32)a(t) updating the impedance e between adjacent nodes i, j in the airport land side road traffic networkij(t) updating the airport land side road traffic network, then returning to the step 32), otherwise, outputting the road saturation (v) of each other directed road section in the airport land side road traffic networka/ca)h；
Step 4) obtaining the road saturation (v) of each directed road section a in the airport land side road traffic network before the cascade failure according to the step 2)a/ca)qAnd step 3) obtaining the road saturation (v) of each directed road section after cascade failurea/ca)hAnd determining the influence range of the traffic jam in the airport land side road traffic network.
According to the road saturation (v) of each directed road section a in the airport land-side road traffic network under the initial condition before cascade failurea/ca)qAnd road saturation (v) of each directed road segment after cascade failurea/ca)hJudging whether each directed road section a meets one of the following 2 conditions one by one:
1. the same directed road section a is not in the same service level grade S before and after the cascade failure;
2. the same directed road section a is in the same service level grade S before the cascade failure, but the difference of the road saturation of the same directed road section a and the road saturation of the same directed road section a is larger than half of the difference of the upper and lower bounds of the road saturation of the service level grade;
the expression is as follows:
in the formula: shThe service level grade of the directed road section a after the cascade failure; sqThe service level grade of the directed road section a before the cascade failure; r is the difference value between the upper and lower bounds of the road saturation of the service level grade; (v)a/ca)hThe road saturation of the directed road section a after the cascade failure; (v)a/ca)qRoad saturation for the directed road segment a before the cascade failure. The relationship between the service level S of the directed link a and the road saturation thereof satisfies the following equation:
if a certain directed road section a meets one of the above 2 conditions, the directed road section a is considered to be influenced, and the influence range of traffic jam in the airport land side road traffic network is determined.
Claims (5)
1. A method for determining an airport land side road traffic jam influence range based on cascade failure is characterized by comprising the following steps: the method comprises the following steps which are carried out in sequence:
step 1) constructing an airport land side road traffic network and a trip network of travelers, and determining the capacity C of each directed road section a in the airport land side road traffic networkaSetting OD flow of each OD pair in the trip network;
step 2) Capacity C based on the directed road section aaObtaining the impedance e between adjacent nodes i, jijThen with the impedance e between adjacent nodes i, jijDetermining the initial load L of each directed road section a in the airport land side road traffic network according to the OD flow of each OD pair in the travel network initially distributed to the airport land side road traffic networka(0) Further, the road saturation (v) of each directed road section a under the initial condition, namely before the cascade failure is obtaineda/ca)q；
Step 3) selecting a directed road section from the airport land side road traffic network at the time t as the guide for traffic jamConstructing a cascade failure model of the airport land side road traffic network on the directional road sections causing failure to obtain the initial load L of each directional road section in the airport land side road traffic network after cascade failurea(t) further obtaining road saturation (v/c) of each directed road section in the airport land side road traffic network after cascade failureh；
Step 4) obtaining the road saturation (v) of each directed road section a in the airport land side road traffic network before the cascade failure according to the step 2)a/ca)qAnd step 3) obtaining the road saturation (v) of each directed road section after cascade failurea/ca)hAnd determining the influence range of the traffic jam in the airport land side road traffic network.
2. The cascade failure-based airport land side road traffic congestion impact range determination method as claimed in claim 1 wherein: in step 1), the airport land side road traffic network and the traveler's travel network are constructed, and the capacity C of each directed road section a in the airport land side road traffic network is determinedaAnd the method for setting the OD flow of each OD pair in the trip network comprises the following steps:
constructing an airport land side road traffic network by combining an airport land side actual road structure; the road intersection in the airport land side road traffic network is represented as a node, and the directed edge represents a directed road section connecting adjacent nodes; selecting partial nodes in the airport land side road traffic network as starting points or end points of trips of travelers to construct a trip network of the travelers; a starting point r or an end point s of traveler travel in the travel network is represented as a node, directed edges represent a connection line from the starting point to the end point of the traveler, and each directed edge determines an OD (OD) pair (r, s);
determining the capacity C of each directed road section a in the airport land side road traffic network according to the actual situation of each directed road section aa(ii) a Counting signal lamp time length T of all nodes in all directions in airport land side road traffic networkjSignal lamp green signal ratio lambdajSaturation flow rate sjAnd free flow time of each directed segment a
And setting OD flow Q of each OD pair in the trip networkODI.e. the traffic flow from the starting point r to the end point s;
capacity C of directed link aaThe expression of (1) is;
in the formula:
the theoretical traffic capacity of the directed road section a is pcu/h; beta is a1Is a multilane correction factor; beta is a2A lane width reduction coefficient; beta is a3And is the intersection reduction coefficient.
3. The cascade failure-based airport land side road traffic congestion impact range determination method as claimed in claim 1 wherein: in step 2), the capacity C based on the directed link aaObtaining the impedance e between adjacent nodes i, jijThe expression of (a) is:
eij＝tij+dij
in the formula, tijThe travel time of the directed link a between the adjacent nodes i, j,
free flow time, L, for directed path segment a between adjacent nodes i, jaFor adjacent node iAnd the traffic flow of the directed road section a between j, alpha and beta are retardation coefficients, and 0.15 and 4 are respectively selected; dijDelay caused by inlet ducts adjacent to nodes i, j, TjSignal lamp duration, λ, for node jjSignal-to-green ratio, s, for node jjSaturated traffic flow for node j;
the impedance e between adjacent nodes i and jijAccording to the OD flow of each OD pair in the travel network, the OD flow is initially distributed to the airport land side road traffic network, and the initial load L of each directed road section a in the airport land side road traffic network is determineda(0) Further, the road saturation (v) of each directed road section a under the initial condition, namely before the cascade failure is obtaineda/ca)qThe method comprises the following steps:
step 21), let D be (r, s) as the starting point r, the OD pair of the end point s, according to the impedance e between the adjacent nodes i, jijCalculating the impedance of the kth effective path in D
Impedance of k-th effective path
The expression of (a) is:
in the formula (I), the compound is shown in the specification,
as decision variable, if there is a k-th effective path of the directed road section a in D between the adjacent nodes i and j, the decision variable is
Otherwise, the value is 0;
the impedance of the shortest path in time D; gamma is a threshold parameter, and is 1.2;
step 22), impedance according to the k-th effective path in D
Calculating the probability of the k-th effective path in D being selected
Probability of k-th effective path being selected in D
The expression of (a) is:
in the formula (I), the compound is shown in the specification,
the average impedance of all effective paths in the time D of t; mu is a distribution parameter, and 3.2 is taken;
step 23), according to the probability of the k-th effective path in D being selected
And the OD flow Q of the corresponding OD pair in the trip networkODTo obtain the first OD flow
And loading the data into an airport land side road traffic network to obtain the traffic flow of each directed road section a
Traffic flow of each directed link a
The expression of (a) is:
step 24), traffic flow according to each directed link a
Updating the impedance e between adjacent nodes i, j in airport land side road traffic networkijAnd repeating the steps 21) to 23) until the residual Z-1 part of OD flow rate
All the traffic flow is loaded into the airport land side road traffic network to obtain the corresponding traffic flow of each directed road section a
Updating the impedance e between adjacent nodes i and j in the airport land side road traffic network once every loading of OD flowijFinally, the initial traffic flow of each directed road section a, namely the initial load L is obtaineda(0)；
Initial load L of each directed link aa(0) The expression of (a) is:
road saturation (v) of each directed road section a under initial conditions, i.e. before cascade failurea/ca)qThe expression of (a) is:
4. the cascade failure-based airport land side road traffic congestion impact range determination method as claimed in claim 1 wherein: in step 3), selecting one directed road section from the airport land side road traffic network at the time t as a directed road section which fails due to traffic jam, constructing a cascade failure model of the airport land side road traffic network, and obtaining initial loads L of all directed road sections in the airport land side road traffic network after cascade failurea(t) further obtaining road saturation (v/c) of each directed road section in the airport land side road traffic network after cascade failurehThe method comprises the following steps:
step 31), selecting a directed road section a from the airport land side road traffic network at the moment tiSetting the congestion time as t as a directed road section which fails due to traffic congestiondAt the time of congestion tdWithin, the directed road segment a is deleted in the airport land side road traffic networkiUpdating the airport land side road traffic network structure and according to the initial load L of each directed road section a in the airport land side road traffic network before the cascade failurea(0) And capacity C of each directed link aaDetermining the impedance e between adjacent nodes i and j in the airport land side road traffic network at the moment tij(t)；
Step 32) according to the impedance e between the adjacent nodes i and j in the airport land side road traffic network at the time t obtained in the step 31)ij(t) redistributing OD flow of each OD pair in the travel network to the updated airport land side road traffic network to obtain initial load L of each directed road section a in the updated airport land side road traffic networka(t) and road saturation (v)a/ca)h；
Step 33), judging the road saturation (v) of each directed road section a in the airport land-side road traffic network after updatinga/ca)hIf greater than 1, if the road saturation (v) of a directed road segment is greater than 1a/ca)hIf the load is more than 1, deleting the directed road section, and then according to the initial load L of each directed road section a in the updated airport land side road traffic network obtained in the step 32)a(t) updating the impedance e between adjacent nodes i, j in the airport land side road traffic networkij(t) updating the airport land side road traffic network, then returning to the step 32), otherwise, outputting the road saturation (v) of each other directed road section in the airport land side road traffic networka/ca)h。
5. The cascade failure-based airport land side road traffic congestion impact range determination method as claimed in claim 1 wherein: in step 4), the road saturation (v) of each directed road section a in the airport land-side road traffic network before cascade failure obtained according to the step 2)a/ca)qAnd step 3) obtaining the road saturation (v) of each directed road section after cascade failurea/ca)hThe method for determining the influence range of traffic jam in the airport land side road traffic network comprises the following steps:
according to the road saturation (v) of each directed road section a in the airport land-side road traffic network under the initial condition before cascade failurea/ca)qAnd road saturation (v) of each directed road segment after cascade failurea/ca)hJudging whether each directed road section a meets one of the following 2 conditions one by one:
1. the same directed road section a is not in the same service level grade S before and after the cascade failure;
2. the same directed road section a is in the same service level grade S before the cascade failure, but the difference of the road saturation of the same directed road section a and the road saturation of the same directed road section a is larger than half of the difference of the upper and lower bounds of the road saturation of the service level grade;
the expression is as follows:
in the formula: shIs a cascade lossThe service level grade of the subsequent directed road section a; sqThe service level grade of the directed road section a before the cascade failure; r is the difference value between the upper and lower bounds of the road saturation of the service level grade; (v)a/ca)hThe road saturation of the directed road section a after the cascade failure; (v)a/ca)qThe road saturation of the directed road section a before the cascade failure; the relationship between the service level S of the directed link a and the road saturation thereof satisfies the following equation:
if a certain directed road section a meets one of the above 2 conditions, the directed road section a is considered to be influenced, and the influence range of traffic jam in the airport land side road traffic network is determined.
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