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A New Multi-objective Competitive Open Vehicle Routing Problem Solved by Particle Swarm Optimization

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  • N. Norouzi
  • R. Tavakkoli-Moghaddam
  • M. Ghazanfari
  • M. Alinaghian
  • A. Salamatbakhsh

Abstract

This paper presents a new variant of an open vehicle routing problem (OVRP), in which competition exists between distributors. In the OVRP with competitive time windows (OVRPCTW), the reaching time to customers affects the sales amount. Therefore, distributors intend to service customers earlier than rivals, to obtain the maximum sales. Moreover, a part of a driver’s benefit is related to the amount of sales; thus, the balance of goods carried in each vehicle is important in view of the limited vehicle capacities. In this paper, a new, multi-objective mathematical model of the homogeneous and competitive OVRP is presented, to minimize the travel cost of routes and to maximize the obtained sales while concurrently balancing the goods distributed among vehicles. This model is solved by the use of a multi-objective particle swarm optimization (MOPSO) algorithm, and the related results are compared with the results of NSGA-II, which is a well-known multi-objective evolutionary algorithm. A comparison of our results with three performance metrics confirms that the proposed MOPSO is an efficient algorithm for solving the competitive OVRP with a reasonable computational time and cost. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • N. Norouzi & R. Tavakkoli-Moghaddam & M. Ghazanfari & M. Alinaghian & A. Salamatbakhsh, 2012. "A New Multi-objective Competitive Open Vehicle Routing Problem Solved by Particle Swarm Optimization," Networks and Spatial Economics, Springer, vol. 12(4), pages 609-633, December.
    • Handle: RePEc:kap:netspa:v:12:y:2012:i:4:p:609-633
    DOI: 10.1007/s11067-011-9169-4
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    References listed on IDEAS

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    2. Mohammad Tamannaei & Hamid Zarei & Sajede Aminzadegan, 2021. "A Game-Theoretic Approach to the Freight Transportation Pricing Problem in the Presence of Intermodal Service Providers in a Competitive Market," Networks and Spatial Economics, Springer, vol. 21(1), pages 123-173, March.
    3. Jesús Sánchez-Oro & Ana D. López-Sánchez & J. Manuel Colmenar, 2020. "A general variable neighborhood search for solving the multi-objective open vehicle routing problem," Journal of Heuristics, Springer, vol. 26(3), pages 423-452, June.
    4. Dasdemir, Erdi & Testik, Murat Caner & Öztürk, Diclehan Tezcaner & Şakar, Ceren Tuncer & Güleryüz, Güldal & Testik, Özlem Müge, 2022. "A multi-objective open vehicle routing problem with overbooking: Exact and heuristic solution approaches for an employee transportation problem," Omega, Elsevier, vol. 108(C).
    5. Junlong Zhang & William Lam & Bi Chen, 2013. "A Stochastic Vehicle Routing Problem with Travel Time Uncertainty: Trade-Off Between Cost and Customer Service," Networks and Spatial Economics, Springer, vol. 13(4), pages 471-496, December.
    6. Seyedmehdi Mirmohammadsadeghi & Shamsuddin Ahmed, 2015. "Memetic Heuristic Approach for Solving Truck and Trailer Routing Problems with Stochastic Demands and Time Windows," Networks and Spatial Economics, Springer, vol. 15(4), pages 1093-1115, December.
    7. Ali Heidari & Din Mohammad Imani & Mohammad Khalilzadeh & Mahdieh Sarbazvatan, 2023. "Green two-echelon closed and open location-routing problem: application of NSGA-II and MOGWO metaheuristic approaches," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(9), pages 9163-9199, September.
    8. Shangyao Yan & Fei-Yen Hsiao & Yi-Chun Chen, 2015. "Inter-School Bus Scheduling Under Stochastic Travel Times," Networks and Spatial Economics, Springer, vol. 15(4), pages 1049-1074, December.

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