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Competitive Memetic Algorithms for Arc Routing Problems

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  • Philippe Lacomme
  • Christian Prins
  • Wahiba Ramdane-Cherif

Abstract

The Capacitated Arc Routing Problem or CARP arises in applications like waste collection or winter gritting. Metaheuristics are tools of choice for solving large instances of this NP-hard problem. The paper presents basic components that can be combined into powerful memetic algorithms (MAs) for solving an extended version of the CARP (ECARP). The best resulting MA outperforms all known heuristics on three sets of benchmark files containing in total 81 instances with up to 140 nodes and 190 edges. In particular, one open instance is broken by reaching a tight lower bound designed by Belenguer and Benavent, 26 best-known solutions are improved, and all other best-known solutions are retrieved. Copyright Kluwer Academic Publishers 2004

Suggested Citation

  • Philippe Lacomme & Christian Prins & Wahiba Ramdane-Cherif, 2004. "Competitive Memetic Algorithms for Arc Routing Problems," Annals of Operations Research, Springer, vol. 131(1), pages 159-185, October.
    • Handle: RePEc:spr:annopr:v:131:y:2004:i:1:p:159-185:10.1023/b:anor.0000039517.35989.6d
    DOI: 10.1023/B:ANOR.0000039517.35989.6d
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    Cited by:

    1. Ghorpade, Tejas & Rangaraj, Narayan, 2022. "Order first split second heuristic for alternative routing strategy for freight railways," Transport Policy, Elsevier, vol. 124(C), pages 139-148.
    2. Abdelkader Sbihi & Richard Eglese, 2010. "Combinatorial optimization and Green Logistics," Annals of Operations Research, Springer, vol. 175(1), pages 159-175, March.
    3. Boudia, M. & Prins, C., 2009. "A memetic algorithm with dynamic population management for an integrated production-distribution problem," European Journal of Operational Research, Elsevier, vol. 195(3), pages 703-715, June.
    4. Gilbert Laporte & Roberto Musmanno & Francesca Vocaturo, 2010. "An Adaptive Large Neighbourhood Search Heuristic for the Capacitated Arc-Routing Problem with Stochastic Demands," Transportation Science, INFORMS, vol. 44(1), pages 125-135, February.
    5. Chen, Yuning & Hao, Jin-Kao & Glover, Fred, 2016. "A hybrid metaheuristic approach for the capacitated arc routing problem," European Journal of Operational Research, Elsevier, vol. 253(1), pages 25-39.
    6. Chen, Yuning & Hao, Jin-Kao, 2018. "Two phased hybrid local search for the periodic capacitated arc routing problem," European Journal of Operational Research, Elsevier, vol. 264(1), pages 55-65.
    7. Chu, Feng & Labadi, Nacima & Prins, Christian, 2006. "A Scatter Search for the periodic capacitated arc routing problem," European Journal of Operational Research, Elsevier, vol. 169(2), pages 586-605, March.
    8. Mourão, Maria Cândida & Nunes, Ana Catarina & Prins, Christian, 2009. "Heuristic methods for the sectoring arc routing problem," European Journal of Operational Research, Elsevier, vol. 196(3), pages 856-868, August.
    9. Saman Eskandarzadeh & Reza Tavakkoli-Moghaddam & Amir Azaron, 2009. "An extension of the relaxation algorithm for solving a special case of capacitated arc routing problems," Journal of Combinatorial Optimization, Springer, vol. 17(2), pages 214-234, February.
    10. Rossi, Roberto & Tomasella, Maurizio & Martin-Barragan, Belen & Embley, Tim & Walsh, Christopher & Langston, Matthew, 2019. "The Dynamic Bowser Routing Problem," European Journal of Operational Research, Elsevier, vol. 275(1), pages 108-126.
    11. Enrique Benavent & Ángel Corberán & José Sanchis, 2010. "A metaheuristic for the min–max windy rural postman problem with K vehicles," Computational Management Science, Springer, vol. 7(3), pages 269-287, July.
    12. Jesica Armas & Peter Keenan & Angel A. Juan & Seán McGarraghy, 2019. "Solving large-scale time capacitated arc routing problems: from real-time heuristics to metaheuristics," Annals of Operations Research, Springer, vol. 273(1), pages 135-162, February.
    13. Santos, Lui­s & Coutinho-Rodrigues, João & Current, John R., 2008. "Implementing a multi-vehicle multi-route spatial decision support system for efficient trash collection in Portugal," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(6), pages 922-934, July.
    14. Philippe Lacomme & Aziz Moukrim & Alain Quilliot & Marina Vinot, 2019. "Integration of routing into a resource-constrained project scheduling problem," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 7(4), pages 421-464, December.
    15. José-Manuel Belenguer & Enrique Benavent & Nacima Labadi & Christian Prins & Mohamed Reghioui, 2010. "Split-Delivery Capacitated Arc-Routing Problem: Lower Bound and Metaheuristic," Transportation Science, INFORMS, vol. 44(2), pages 206-220, May.
    16. Zsuzsanna Nagy & Ágnes Werner-Stark & Tibor Dulai, 2022. "An Artificial Bee Colony Algorithm for Static and Dynamic Capacitated Arc Routing Problems," Mathematics, MDPI, vol. 10(13), pages 1-38, June.
    17. D Soler & E Martínez & J C Micó, 2008. "A transformation for the mixed general routing problem with turn penalties," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(4), pages 540-547, April.
    18. Thibaut Vidal, 2017. "Node, Edge, Arc Routing and Turn Penalties: Multiple Problems—One Neighborhood Extension," Operations Research, INFORMS, vol. 65(4), pages 992-1010, August.
    19. Alexandre Sawczuk Silva & Yi Mei & Hui Ma & Mengjie Zhang, 2018. "Evolutionary computation for automatic Web service composition: an indirect representation approach," Journal of Heuristics, Springer, vol. 24(3), pages 425-456, June.
    20. Yu, Mingzhu & Jin, Xin & Zhang, Zizhen & Qin, Hu & Lai, Qidong, 2019. "The split-delivery mixed capacitated arc-routing problem: Applications and a forest-based tabu search approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 132(C), pages 141-162.
    21. Santos, Luís & Coutinho-Rodrigues, João & Current, John R., 2010. "An improved ant colony optimization based algorithm for the capacitated arc routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 44(2), pages 246-266, February.
    22. Liang Song & Hejiao Huang & Hongwei Du, 2016. "Approximation schemes for Euclidean vehicle routing problems with time windows," Journal of Combinatorial Optimization, Springer, vol. 32(4), pages 1217-1231, November.
    23. Porumbel, Daniel & Goncalves, Gilles & Allaoui, Hamid & Hsu, Tienté, 2017. "Iterated Local Search and Column Generation to solve Arc-Routing as a permutation set-covering problem," European Journal of Operational Research, Elsevier, vol. 256(2), pages 349-367.
    24. Cortinhal, Maria João & Mourão, Maria Cândida & Nunes, Ana Catarina, 2016. "Local search heuristics for sectoring routing in a household waste collection context," European Journal of Operational Research, Elsevier, vol. 255(1), pages 68-79.

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