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VEHICLE ROUTING PROBLEM WITH

SIMULTANEOUS PICK-UPAND DELIVERY

Presented by,

KIRAN M.

Roll No: 09

Department of Mechanical Engineering

Mar Athanasius College of Engineering

Kothamangalam

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INTRODUCTION

Vehicle Routing Problem (VRP) defined as a problem of finding optimalroutes of delivery or collection from one or several depots to a

number of customers while satisfying some constraints.

First study was done by Dantzig and Ramzer in 1959.

Different variants of VRP are:

VRP with and without Time Window

Capacitated VRP

Open VRP

Dynamic VRP VRP with Pick - up and Delivery

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Problem is to find set of least cost vehicle route in such a way that:

* Each customer is visited exactly once by exactly one vehicle.* All vehicle route starts and ends in depot (except Open VRP)

* Other constraints as per the selected variant problem.

Importance of reverse logistics activities lead to the researches in VRP

with Pick-up and Delivery.

Good have to be delivered to customers and also picked up from customers to depot

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Earlier studies was known as VRP with

Backhauls. Considered as two independent VRP, one for delivery

and other for pick up.

Resulted in unnecessary vehicle utilization.

Lead to the research to VRP with

Simultaneous Pick-up and Delivery.

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LITERATURE REVIEW4

Year Author Model Method

1959 Dantzig and Ramzer[1]Truck Dispatching Problem

(Single vehicle)

Aggregation of points pair vice

whose combined demand do not

exceed vehicle capacity.

1964 Clark and Wright[2] Multi vehicle problem Savings Algorithm

1983 M. M. Solomon[3] VRP with Time WindowHeuristic methods.

Developed problem Instances.

1986 W. B. Powell[4] Dynamic VRP FrankWolfe Algorithm

1989 Jacob Blencha[5] VRP with Backhauls LHBH Heuristic

2001 Jan Dethloff[6]Vehicle Routing and

Reverse Logistics: VRPSPDInsertion based Heuristic

2005 Nagy and Salhi[7] VRPSPD with multiplede ot

Insertion based Heuristic

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* Considering GA based approach for VRPSPD by Serdan Tasan as base

paper, objective of thesis is to develop a better heuristic method for solving

the vehicle routing problem with simultaneous pick-up and delivery.

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Year Author Model Method

2009 Gajpal and Abad[8] VRPSPD Ant colony optimization

2012 Serdan Tasan and Mituo Gen[9]VRP with Simultaneous

Pick-up and DeliveryGenetic Algorithm

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REFERENCES[1] Dantzig, G., Fulkerson, R., & Johnson, S. (1954), Solution of a large-scale travelling

salesman problem. Operations Research, 2, 393410.

[2] Clarke, G., & Wright, J. W. (1964), Scheduling of vehicles from a depot to a number

of delivery points. Operations Research, 12, 568581.

[3] M. Solomon, (1987), Algorithms for the vehicle routing and scheduling problems

with time window constraints. Operations Research 35 254265.

[4] Powell, W. B. (1986), A stochastic model of the dynamic vehicle allocation

problem. Transportation Science, 20(2), 117129.

[5] Goetschalckx M, JacobsBlecha C. (1989), The vehicle routing problem with

backhauls.European Journal of Operational Research 42: 3951

[6] Dethloff, J. (2001), Vehicle routing and reverse logistics: The vehicle routingproblem with simultaneous delivery and pick-up. OR Spektrum, 23, 7996.

[7] Nagy, G., & Salhi, S. (2005), Heuristic algorithms for single and multiple depot

vehicle routing problems with pickups and deliveries. European Journal of

Operational Research, 162, 126141.

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[8] Gajpal, Y., & Abad, P. (2009), An ant colony system for vehicle routing problem with

simultaneous delivery and pickup. Computers & Operations Research, 36, 3215

3223.

[9] A. Serdar Tasan, Mitsuo Gen. (2012), A genetic algorithm based approach to vehicle

routing problem with simultaneous pick-up and deliveries. Computers & Industrial

Engineering 62 755761.

[10] Liong Choong Yean, Wan Rosmania Ismail, Kahiruddin Omar, (2008), Vehicle

routing problem: Models and Solutions. Journal of Quality Measurement and

Analysis, 4(1), 205-218.

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