Multi-objective Optimization For The Dynamic Multi-Pickup and Delivery Problem with Time Windows

The PDPTW is an optimization vehicles routing problem which must meet requests for transport between suppliers and customers satisfying precedence, capacity and time constraints. We present, in this paper, a genetic algorithm for multi-objective optimization of a dynamic multi pickup and delivery problem with time windows (Dynamic m-PDPTW). We propose a brief literature review of the PDPTW, present our approach based on Pareto dominance method and lower bounds, to give a satisfying solution to the Dynamic m-PDPTW minimizing the compromise between total travel cost and total tardiness time. Computational results indicate that the proposed algorithm gives good results with a total tardiness equal to zero with a tolerable cost.

[1]  Andrew Lim,et al.  SOLVING THE PICKUP AND DELIVERY PROBLEM WITH TIME WINDOWS USING iSSQUEAKY WHEELli OPTIMIZATION WITH LOCAL SEARCH , 2002 .

[2]  Mwp Martin Savelsbergh,et al.  A branch-and-price algorithm for the pickup and delivery problem with time windows , 1994 .

[3]  Mekki Ksouri,et al.  A new hybrid evolutionary approach for the pickup and delivery problem with time windows , 2004, 2004 IEEE International Conference on Systems, Man and Cybernetics (IEEE Cat. No.04CH37583).

[4]  Marius M. Solomon,et al.  Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints , 1987, Oper. Res..

[5]  P. Borne,et al.  Improved tabu search in an hybrid evolutionary approach for the pickup and delivery problem with time windows , 2005, Proceedings. 2005 IEEE Intelligent Transportation Systems, 2005..

[6]  Maged M. Dessouky,et al.  A new insertion-based construction heuristic for solving the pickup and delivery problem with time windows , 2006, Eur. J. Oper. Res..

[7]  Mekki Ksouri,et al.  Lower Bounds In An Hybrid Evolutionary Approach For The Pickup And Delivery Problem With Time Windows , 2005, 2005 IEEE International Conference on Systems, Man and Cybernetics.

[8]  Harilaos N. Psaraftis,et al.  A Dynamic Programming Solution to the Single Vehicle Many-to-Many Immediate Request Dial-a-Ride Problem , 1980 .

[9]  Giselher Pankratz,et al.  Dynamic Planning of Pickup and Delivery Operations by means of Genetic Algorithms , 2004 .

[10]  Mekki Ksouri,et al.  Genetic Algorithm for Mulicriteria Optimization of a Multi-Pickup and Delivery Problem with Time Windows , 2010, ArXiv.

[11]  Xiaolei Ma,et al.  Vehicle Routing Problem , 2013 .

[12]  C. Hwang,et al.  Fuzzy Multiple Objective Decision Making: Methods And Applications , 1996 .

[13]  Andrew Lim,et al.  A metaheuristic for the pickup and delivery problem with time windows , 2001, Proceedings 13th IEEE International Conference on Tools with Artificial Intelligence. ICTAI 2001.

[14]  Pierre Borne,et al.  HYBRID EVOLUTIONNARY APPROACHES AND NEW BENCHMARKS FOR THE 1-PDPTW , 2007 .

[15]  Mekki Ksouri,et al.  Un Algorithme génétique pour le problème de ramassage et de livraison avec fenêtres de temps à plusieurs véhicules , 2010, ArXiv.

[16]  C. Hwang Multiple Objective Decision Making - Methods and Applications: A State-of-the-Art Survey , 1979 .

[17]  Mekki Ksouri,et al.  Approche Multicritère pour le Problème de Ramassage et de Livraison avec Fenêtres de Temps à Plusieurs Véhicules , 2010, ArXiv.

[18]  Roberto Montemanni,et al.  A new algorithm for a Dynamic Vehicle Routing Problem based on Ant Colony System , 2002 .

[19]  AircraftMichiel,et al.  Multiconference on Computational Engineering in Systems Applications 9-12 July 1996 Lille , France Fast Mode Switching for a Thrust Vectored , 1996 .

[20]  Jane Yung-jen Hsu,et al.  Dynamic vehicle routing using hybrid genetic algorithms , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[21]  Gilbert Laporte,et al.  Double-horizon based heuristics for the dynamic pickup and delivery problem with time windows , 2004 .

[22]  J. K. Lenstra,et al.  Complexity of vehicle routing and scheduling problems , 1981, Networks.

[23]  Paolo Toth,et al.  The Vehicle Routing Problem , 2002, SIAM monographs on discrete mathematics and applications.

[24]  Martin W. P. Savelsbergh,et al.  The General Pickup and Delivery Problem , 1995, Transp. Sci..