CN106156897A - Optimum path planning analog systems in logistics distribution - Google Patents

Optimum path planning analog systems in logistics distribution Download PDF

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Publication number
CN106156897A
CN106156897A CN201610694040.XA CN201610694040A CN106156897A CN 106156897 A CN106156897 A CN 106156897A CN 201610694040 A CN201610694040 A CN 201610694040A CN 106156897 A CN106156897 A CN 106156897A
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path
shortest
client
time
warehouse
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王防修
周康
刘朔
刘江蓉
高婧
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Wuhan Polytechnic University
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Wuhan Polytechnic University
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q10/00Administration; Management
    • G06Q10/04Forecasting or optimisation specially adapted for administrative or management purposes, e.g. linear programming or "cutting stock problem"
    • G06Q10/047Optimisation of routes or paths, e.g. travelling salesman problem
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q10/00Administration; Management
    • G06Q10/08Logistics, e.g. warehousing, loading or distribution; Inventory or stock management
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q10/00Administration; Management
    • G06Q10/08Logistics, e.g. warehousing, loading or distribution; Inventory or stock management
    • G06Q10/083Shipping
    • G06Q10/0835Relationships between shipper or supplier and carriers
    • G06Q10/08355Routing methods

Abstract

The present invention relates to optimum path planning analog systems in logistics distribution.Including the main interface of system, Shortest time programming, shortest path planning module;The main interface module of system, has gathered the various operations of shortest time and shortest path;Shortest path planning module, contains backtracking method and enhanced simulated annealing processes shortest path first;Shortest time programming module, is set to different values according to actual needs by the speed in each section, calculates logistics van by the shortest time needed for all of client.Native system user can be according to practical situation mark warehouse and the address of client on analog systems interface;The Path Planning that analog systems can select according to user;Analog systems can adjust according to certain the section laggard Mobile state of traffic congestion, again plans distribution route, thus reduces logistic car cost in delivery process.

Description

Optimum path planning analog systems in logistics distribution
Technical field
The present invention relates to logistics distribution technical field, be specifically related to optimum path planning analog systems in logistics distribution.
Background technology
The fast development of material flow industry has promoted the research of Distribution path problem, and under B2C electronic business mode, commodity need Ask variation, customer demand personalized, the feature of the dispensing many number of times of small lot, it is thus necessary to determine that suitable distribution route meets visitor Family individual requirement on distribution time.Choosing whether of Distribution path is reasonable, to accelerating dispensing speed, improving Service Quality Amount, reduction distribution cost and increase economic benefit have considerable influence.The optimization problem of Distribution path is logistics distribution system One subject matter, optimizing exactly with minimum operation cost, the most efficiently response speed, the shortest joining of logistics distribution path Send haulage time, goods is transported in user's hands.
When B2C agricultural product electronic business logistics is provided and delivered, logistic car load the same day need dispensing kinds of goods from warehouse, It is that each client provides and delivers according to optimum Distribution path planned in advance, finally returns to warehouse.
Along with the development of B2C agricultural product electronic business logistics dispensing, path planning has been not only to ask for path minimum The problem changed, problem to be considered becomes increasingly complex, and traditional rigorous solution has already fallen behind, and traditional Optimization solution not only takes Time and try to achieve optimal solution, be a kind of Utopian method for solving.
Summary of the invention
It is an object of the invention to before dispensing can according to the dispensing address of client between line pitch, experience road conditions divide Analysis, quickly calculates an optimum Distribution path, in delivery process, if the traffic congestion of certain section, it is possible to would dynamically adjust dispensing Route, for realizing this purpose, the present invention provides optimum path planning analog systems in business logistics distribution.
B2C agricultural product electronic business logistics is provided and delivered, and is with least cost, the completing of fastest response speed high quality and high efficiency The dispensing demand of client, needs accurate client geographic location data, thus plans optimum Distribution path;In practice can root Dynamically adjust according to the traffic congestion situation in section between any client.
After the target of optimum path planning is the position of user and the quantity of user determines, system can be all at once User cook up one from warehouse the optimum Distribution path to all of Customer Location.Logistics carriage when normally travelling, as There is traffic congestion event in fruit, adjusts travel route immediately, again plan optimal path, it is achieved dynamically adjust distribution route;And energy Enough on visual interface, carry out lively reality simulation, allow logistics distribution vehicle along the route running of dynamic revised planning, Interface is embodied optimum Distribution path, reaches optimal reality simulation effect.
The technical solution of the present invention is: optimum path planning analog systems in logistics distribution, including the main interface of system, Shortest time programming, shortest path planning module;
The main interface module of described system, has gathered the various operations of shortest time and shortest path, and main interface can generate client Data, including geographical position and the serial number of client of client, and the position etc. in warehouse, also shortest time, shortest path The button in footpath, the setting in traffic congestion section and the optimal path result of planning show;
Described shortest path planning module, contains backtracking method and enhanced simulated annealing processes shortest path first, with Centered by warehouse, find the shortest path returning warehouse from warehouse through all clients;
Described Shortest time programming module, is set to different value as required by the speed in each section, calculates logistics van and passes through Shortest time needed for all of client.
The main interface module of described system, including path display box, operating list, operation box, effect display box, performs prompting Frame.
Described path display box, is used for showing Customer Location, customer number, warehouse location, programme path, lorry motion feelings After condition and traffic congestion, the path after dynamic revised planning shows and lorry movement locus;Left mouse button clicks on any position of display box Put, often click on once, a client will be generated, have corresponding round dot to show labelling;The route of described planning is finally to close , the one section of straight line being expressed as in display box between some 2 is connected.
Described operating list, includes warehouse location initial block, shortest time and two buttons of shortest path;Warehouse location Initial block is used for setting the position in warehouse;After selected warehouse location, click on " shortest time " button, to a little, including warehouse Point and client's point, carry out Shortest time programming;Clicking on " shortest path " button, system can carry out shortest path rule to all points Draw;Shortest time button, shortest path button can arbitrarily switch.
Described operation box, has a " set " button, and the input prompt of " arranging traffic congestion section " in operation box.
Described effect display box, display section, lorry place, time and path optimal value.
Described execution prompting frame, again to the concrete route in all paths in warehouse from warehouse to client after prompting planning.
Described shortest path planning module, uses backtracking method when customer quantity is less, and backtracking algorithm is as the one of program Individual function;FunctionReturning shortest path length, the Distribution path of logistic car is by integer arrayReturn; If there being the section between two clients to block up, then return traffic congestion information;
Recursive search optimal solution in arrangement space tree, logistics class Logistics is that one is necessary Preprocessing process;
Assuming thatRepresent the integer array preserving current logistic car Distribution path;Represent to preserve and work as preplanning The integer array of optimum Distribution path;Integer variableRepresent the road preserved between present node Electrical path length;Integer variableRepresent the length value preserving current optimal solution, be defined as Static data member in Logistics.
Backtracking method deep search functionSearch theThe process of individual client is as follows:
(1) whenTime, representOn the father node of the leaf node being in permutation tree, now need verify fromArriveHave a limit and fromTo starting pointAlso there is a limit;If two limit all exists, then it represents that be found that one Individual new route;Verify the optimal path whether this path has now been found that;The most then path and its length are stored in respectivelyWithIn;
(2) whenTime, check currentThe child nodes of node layer, and during and if only if situations below occurs, move to child One of child node:
1. have fromArriveA limit, Define the paths in network;
2. path Length less than the length of current optimal solution;
3. variablePreserve the length in the path constructed at present;
When finding a more preferable Distribution path, except updating every timeTime time consumption outside,Need time-consuming;Again because needing to occurSecondary renewal and update each time Consuming isTime, therefore updating required time is;By use increase stronger restrictive conditions can reduce byThe quantity of the tree node of search.
The described restrictive condition reducing search time is as follows:
(1) at that time, current extensions node is positioned at the of permutation treeLayer;Permutation tree exists from summitTo summit's Bian Shi, thusConstitute a paths;Therefore, if the cost of this road warp is more than current optimal value, then cut off corresponding Subtree, thus reduce the amount of calculation of search optimal solution;
(2) when logistic car occurs traffic congestion in delivery process, owing to the road passed by is planned through need not again, it is only necessary to right Unbeaten route is planned;Therefore, only the node not accessed is optimized and can save the substantial amounts of optimization time.
Described shortest path planning module, uses enhanced simulated annealing, the mould of improvement when customer quantity is more Intend the generation of annealing algorithm new explanation and accept to be divided into following 5 steps:
(1) new explanation being positioned at solution space is produced by ant group algorithm;
(2) calculating is poor with the object function corresponding to new explanation, and object function difference presses incremental computations;
(3) judging whether new explanation is accepted, the foundation of judgement is an acceptance criterion, and acceptance criterion is that Metropolis is accurate Then;
(4) when new explanation is determined accepting, replace current solution with new explanation, by current solution corresponding to producing transformation component during new explanation Divide and be achieved, modified objective function value simultaneously;Now, current solution achieves an iteration;Start next round on this basis Test;When new explanation is judged as giving up, then on the basis of former current solution, continue next round test;
(5) if iterations is also not up to maximum iteration time, then step (2), (3), (4) are repeated;Otherwise, searching process knot Bundle.
Described ant swarm method, its step is as follows:
Step1: path initializes;WillFormica fusca is put at randomIndividual client's point, the taboo list of every Formica fusca is that Formica fusca is current Place client point, each side information is initialized as
Step2: path configuration;Every Formica fusca selects next client's point according to probability transformational rule, go down successively untilBar Different paths;
Step3: information updating;After finding client's point, pheromone, current path length, optimal path length are entered every time Row updates;
Step 4: obtain a result;After going to abundant number of times, obtain the approximate solution of optimal path.
In described shortest path planning module, described Shortest time programming module, whole logistic car is in delivery process State path planning, step is as follows:
(1) dispensing matrix;Import the weight information between client;If clientWith clientBetween can go directly, then;Otherwise,
(2) optimal path initializes;, whereinRepresent warehouse,Represent Individual client;
(3) selected warehouse;Order, whereinIt can be setIn any one integer;
(4) optimal path before asking logistic car to set out;Selected successively by backtracking method or enhanced simulated annealing,,,, thenIt it is exactly the optimal path of current logistic car;
(5) dynamic programming in delivery process;If logistic car runs into traffic congestion during advancing, then need according to logistic car Present case be adjusted;Specifically adjust as follows with backtracking method or enhanced simulated annealing:
If 1. traffic congestion section occurs the section passed through at logistic car, then logistic car need not change distribution route;
If 2. logistic car also has two clients or a client not to provide and deliver, even if then blocking up, logistic car is except waiting And have no option;
If 3. traffic congestion event is not to occur on the programme path of logistic car, logistic car is again without change distribution route;
4. if not above-mentioned three kinds of situations, then need, by backtracking method, all clients not provided and delivered are planned optimal path again;
(6) circulation;Repeat step (5), until logistic car dispensing terminates.
The invention has the beneficial effects as follows: user can on analog systems interface the address of random labelling warehouse and client; The Path Planning that analog systems can select according to user, as shortest path, minimum time etc. carry out distribution route planning;Mould Plan system can adjust according to certain the section laggard Mobile state of traffic congestion, again plans distribution route;On analog systems interface Can be with simulating vehicle from warehouse, the distribution route along planning is advanced, and finally returns to warehouse.Delivery process can be simulated Front course traffic congestion event, analog systems can get around traffic congestion section dynamic programming distribution route.
Accompanying drawing explanation
Fig. 1 is optimum path planning analog systems overall construction drawing in logistics distribution.
Fig. 2 is the main surface chart of analog systems.
Fig. 3 is shortest path planning design sketch.
Shortest path planning design sketch when Fig. 4 is to run into traffic congestion.
Fig. 5 is Shortest time programming design sketch.
Fig. 6 is Shortest time programming design sketch.
Detailed description of the invention
Below in conjunction with the accompanying drawings the present invention is described further.
In logistics distribution, optimum path planning analog systems combines backtracking method, simulated annealing, ant group algorithm, works as visitor Use backtracking method during the negligible amounts of family, when customer quantity is more, use the simulated annealing of the improvement of intelligent algorithm to calculate Method.
In logistics distribution, optimum path planning analog systems is divided into several relatively independent module.The modularized design of layering Thought, system uses modeled programming structure, has stronger operability and extensibility as application program;Structure sheaf Secondary clearly, organize complete, the most concisely.From top to bottom, system calls modules successively, meets user's request;System is responsible for Accurately call, it is achieved the planning strategy that user selects, i.e. shortest time or shortest path.
Such as Fig. 1, logistics distribution path planning analog systems is divided into the main interface of system, Shortest time programming, shortest path rule Draw three modules;System running environment: Microsoft Visual C++6.0.
Such as Fig. 2, the various operations of shortest time and shortest path have been gathered at the main interface of system, and main interface can generate client Data, including geographical position and the serial number of client of client, and the position etc. in warehouse, also shortest time, shortest path The button in footpath, the setting in traffic congestion section and the optimal path result of planning show.
Shortest path planning module contains backtracking method and enhanced simulated annealing processes shortest route problem, with storehouse Centered by storehouse, find the shortest path returning warehouse from warehouse through all clients.
The speed in each section is set to different random values by Shortest time programming module, calculates logistics van and pass through institute Shortest time needed for some clients.
System uses MFC standard interface, and all associative operations are all integrated on this interface.
System interface, in addition to the above essential information, is divided into five parts;Be respectively path display box, operating list, Operation box, effect display box, execution prompting frame.
Path display box is used to show Customer Location, customer number, warehouse location, programme path, lorry motion conditions And dynamically path after revised planning show and lorry movement locus after traffic congestion.Left mouse button clicks on any position of display box Put, often click on once, a client will be generated, have corresponding round dot to show labelling.The route wherein planned is finally to close , the one section of straight line being expressed as in display box between some 2 is connected.After have selected warehouse location, face at warehouse Complexion changed is blue, makes readily discernible.
Operating list includes warehouse location initial block, shortest time and two buttons of shortest path.At the beginning of warehouse location Beginning frame is used to set the position in warehouse, but premise is must first to have client's point, so could select the conduct of a point from which Warehouse.For convenience of operation, the position in warehouse is defaulted as 1(that is first client's point by system).After only have selected warehouse, Shortest path or Shortest time programming can be carried out.Click on " shortest time " button, system to a little (include warehouse and all Client's point) carry out Shortest time programming.Clicking on " shortest path " button, system can carry out shortest path planning to all points.And And, both can arbitrarily switch.
Operation box has a " set " button, and the input prompt of " arranging traffic congestion section ".The traffic congestion section arranged Must being that a certain bar planned in the display box of path determines section, if arbitrarily arranging non-existent traffic congestion section, being System has the information alert of " traffic congestion route does not exists ", if the repeatedly section arranged is correct, but lorry has passed through Or by set section, system has the prompting in " traffic congestion information alert evening ", and if lorry will Return to warehouse, be i.e. in finally or on second from the bottom section, at this moment traffic congestion section is set, due to horse back warehouse to be arrived, Having already been through other all of clients and must walk remaining section, therefore, system has that " traffic congestion information is invalid, will Return to warehouse " information.Should be noted that, when arranging traffic congestion section, can be according to the lorry performing prompting frame Running section information is accurately arranged, and the most more specifically, otherwise, if incorrect setting, has corresponding error message Remind.This " arranges " not only can arrange and once blocks up, it is also possible to repeatedly arrange repeatedly section, it is achieved Multiple Sections blocks up also Can dynamically adjust dynamic programming.
Effect display box comprises section, lorry place and time (path) optimal value two pieces.Section, lorry place is shown that The section that lorry is the most travelling, this section is made up of customer number and an arrow at these two ends, section, and, should Display is dynamic, and i.e. when lorry arrives another section, section, lorry place also can correspondingly show the client in another section Numbering.When clicking on " shortest time " in operating list, the lower convenient display time optimal value of effect display box, when in action column When table selects " shortest path ", the lower optimal value that conveniently shows paths of effect display box.
Perform prompting frame prompting be after planning from warehouse to client again to the concrete route in all paths in warehouse.Only Have selected " shortest time " or " shortest path ", execution prompting frame just has concrete route and shows.Further, prompting frame is performed Information be also dynamic, switch between " shortest time " and " shortest path ", or traffic congestion section be set when coming into force, Perform prompting frame and can change the Dynamic Announce carrying out route according to the planning and adjusting of system dynamics.Make that lorry travels all specifically Route is very clear.

Claims (8)

1. optimum path planning analog systems in logistics distribution, it is characterised in that include the main interface of system, Shortest time programming, Short path planning module;
The main interface module of described system, has gathered the various operations of shortest time and shortest path, and main interface can generate client Data, including geographical position and the serial number of client of client, and the position etc. in warehouse, also shortest time, shortest path The button in footpath, the setting in traffic congestion section and the optimal path result of planning show;
Described shortest path planning module, contains backtracking method and enhanced simulated annealing processes shortest path first, with Centered by warehouse, find the shortest path returning warehouse from warehouse through all clients;
Described Shortest time programming module, is set to different value as required by the speed in each section, calculates logistics van and passes through Shortest time needed for all of client.
Optimum path planning analog systems in logistics distribution the most according to claim 1, it is characterised in that described system master Interface module, including path display box, operating list, operation box, effect display box, performs prompting frame;
Described path display box, be used for show Customer Location, customer number, warehouse location, programme path, lorry motion conditions with And dynamically path after revised planning show and lorry movement locus after traffic congestion;Left mouse button clicks on the optional position of display box, Often click on once, a client will be generated, have corresponding round dot to show labelling;The route of described planning is finally to close, The one section of straight line being expressed as in display box between some 2 is connected;
Described operating list, includes warehouse location initial block, shortest time and two buttons of shortest path;Warehouse location is initial Frame is used for setting the position in warehouse;After selected warehouse location, click on " shortest time " button, to a little, including warehouse point and Client's point, carries out Shortest time programming;Clicking on " shortest path " button, system can carry out shortest path planning to all points;? Short time button, shortest path button can arbitrarily switch;
Described operation box, has a " set " button, and the input prompt of " arranging traffic congestion section " in operation box;
Described effect display box, display section, lorry place, time and path optimal value;
Described execution prompting frame, again to the concrete route in all paths in warehouse from warehouse to client after prompting planning.
Optimum path planning analog systems in logistics distribution the most according to claim 1, it is characterised in that described shortest path Footpath planning module, uses backtracking method when customer quantity is less, and backtracking algorithm is as a function of program;FunctionReturning shortest path length, the Distribution path of logistic car is by integer arrayReturn;If there being two clients Between section block up, then return traffic congestion information;
Recursive search optimal solution in arrangement space tree, logistics class Logistics is that one is necessary Preprocessing process;
Assuming thatRepresent the integer array preserving current logistic car Distribution path;Represent to preserve and work as preplanning The integer array of optimum Distribution path;Integer variableRepresent the road preserved between present node Electrical path length;Integer variableRepresent the length value preserving current optimal solution, be defined as Static data member in Logistics.
Optimum path planning analog systems in logistics distribution the most according to claim 3, it is characterised in that the backtracking method degree of depth Search functionSearch theThe process of individual client is as follows:
(1) whenTime, representOn the father node of the leaf node being in permutation tree, now need verify fromArriveHave a limit and fromTo starting pointAlso there is a limit;If two limit all exists, then it represents that be found that one Individual new route;Verify the optimal path whether this path has now been found that;The most then path and its length are stored in respectivelyWithIn;
(2) whenTime, check currentThe child nodes of node layer, and during and if only if situations below occurs, move to child One of child node:
1. have fromArriveA limit, Define the paths in network;
2. path Length less than the length of current optimal solution;
3. variablePreserve the length in the path constructed at present;
When finding a more preferable Distribution path, except updating every timeTime time consumption outside,Need time-consuming;Again because needing to occurSecondary renewal and update each time Consuming isTime, therefore updating required time is;By use increase stronger restrictive conditions can reduce byThe quantity of the tree node of search.
Optimum path planning analog systems in logistics distribution the most according to claim 4, it is characterised in that described minimizing is searched The restrictive condition of rope time is as follows:
(1) at that time, current extensions node is positioned at the of permutation treeLayer;Permutation tree exists from summitTo summitLimit Time, thusConstitute a paths;Therefore, if the cost of this road warp is more than current optimal value, then corresponding son is cut off Tree, thus reduce the amount of calculation of search optimal solution;
(2) when logistic car occurs traffic congestion in delivery process, owing to the road passed by is planned through need not again, it is only necessary to right Unbeaten route is planned;Therefore, only the node not accessed is optimized and can save the substantial amounts of optimization time.
Optimum path planning analog systems in logistics distribution the most according to claim 1, it is characterised in that described shortest path Footpath planning module, uses enhanced simulated annealing, the product of enhanced simulated annealing new explanation when customer quantity is more Raw and accept to be divided into following 5 steps:
(1) new explanation being positioned at solution space is produced by ant group algorithm;
(2) calculating is poor with the object function corresponding to new explanation, and object function difference presses incremental computations;
(3) judging whether new explanation is accepted, the foundation of judgement is an acceptance criterion, and acceptance criterion is that Metropolis is accurate Then;
(4) when new explanation is determined accepting, replace current solution with new explanation, by current solution corresponding to producing transformation component during new explanation Divide and be achieved, modified objective function value simultaneously;Now, current solution achieves an iteration;Start next round on this basis Test;When new explanation is judged as giving up, then on the basis of former current solution, continue next round test;
(5) if iterations is also not up to maximum iteration time, then step (2), (3), (4) are repeated;Otherwise, searching process knot Bundle.
Optimum path planning analog systems in logistics distribution the most according to claim 6, it is characterised in that described ant swarm Method, its step is as follows:
Step1: path initializes;WillFormica fusca is put at randomIndividual client's point, the taboo list of every Formica fusca is the current institute of Formica fusca At client's point, each side information is initialized as
Step2: path configuration;Every Formica fusca selects next client's point according to probability transformational rule, go down successively untilBar is not Same path;
Step3: information updating;After finding client's point, pheromone, current path length, optimal path length are entered every time Row updates;
Step 4: obtain a result;After going to abundant number of times, obtain the approximate solution of optimal path.
Optimum path planning analog systems in logistics distribution the most according to claim 1, it is characterised in that described shortest path In footpath planning module, described Shortest time programming module, whole logistic car is dynamic programming path in delivery process, and step is such as Under:
(1) dispensing matrix;Import the weight information between client;If clientWith clientBetween can go directly, then ;Otherwise,
(2) optimal path initializes;, whereinRepresent warehouse,RepresentIndividual Client;
(3) selected warehouse;Order, whereinIt can be setIn any one integer;
(4) optimal path before asking logistic car to set out;Selected successively by backtracking method or enhanced simulated annealing,,,, thenIt it is exactly the optimal path of current logistic car;
(5) dynamic programming in delivery process;If logistic car runs into traffic congestion during advancing, then need according to logistic car Present case be adjusted;Specifically adjust as follows with backtracking method or enhanced simulated annealing:
If 1. traffic congestion section occurs the section passed through at logistic car, then logistic car need not change distribution route;
If 2. logistic car also has two clients or a client not to provide and deliver, even if then blocking up, logistic car is except waiting And have no option;
If 3. traffic congestion event is not to occur on the programme path of logistic car, logistic car is again without change distribution route;
4. if not above-mentioned three kinds of situations, then need, by backtracking method, all clients not provided and delivered are planned optimal path again;
(6) circulation;Repeat step (5), until logistic car dispensing terminates.
CN201610694040.XA 2016-08-22 2016-08-22 Optimum path planning analog systems in logistics distribution Pending CN106156897A (en)

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