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New Hybrid Search Algorithm for the Capacitated Vehicle Routing Problem

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Proceedings of the Canadian Society of Civil Engineering Annual Conference 2021 (CSCE 2021)

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 250))

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Abstract

The vehicle routing problem is one of the most studied combinatorial optimization problems in operations research. The problem deals with a homogenous fleet of capacitated vehicles that operates from a central depot serving a set of customers with known demands. The objective of the problem is to design a set of routes serving customers with minimum cost. The vehicle routing problem is classified as NP-hard problem. Exact and approximate algorithms have been developed in the literature to solve the Capacitated Vehicle Routing Problem (CVRP). However, exact methods can only solve relatively small-size problems while approximate algorithms have been able to reach near-optimum solutions of large problems. The purpose of this paper is to develop a new hybrid search algorithm that combines the evolutionary genetic search with a new local search heuristic to solve the CVRP. The proposed heuristic calculates a resultant objective function based on both the distance travelled and the demand associated with the given customer. A new set of genetic operators suited for the problem was employed. Several computational experiments were conducted. The algorithm was validated and was capable of converging to the optimum solution of the tested benchmark instance.

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References

  1. Baker MB, Ayechew MA (2003) A genetic algorithm for the vehicle routing problem. Comput Oper Res 30:787–800

    Article  MathSciNet  Google Scholar 

  2. Baldacci R, Hadjiconstantinou E, Mingozzi A (2004) An exact algorithm for the capacitated vehicle routing problem based on a two-commodity network flow formulation. Oper Res 52:723–738

    Article  MathSciNet  Google Scholar 

  3. Baldacci R, Toth P, Vigo D (2010) Exact algorithms for routing problems under vehicle capacity constraints. Ann Oper Res 175:213–245

    Article  MathSciNet  Google Scholar 

  4. Biesinger B, Hu B, Raidl GR (2018) A genetic algorithm in combination with a solution archive for solving the generalized vehicle routing problem with stochastic demands. Transp Sci 52(3):673–690

    Article  Google Scholar 

  5. Dantzig GB, Ramser JH (1959) The truck dispatching problem. Manage Sci 6:80–91

    Article  MathSciNet  Google Scholar 

  6. Derigs U, Reuter K (2009) A simple and efficient tabu search heuristic for solving the open vehicle routing problem. J Oper Res Soc 60:1658–1669

    Google Scholar 

  7. Elgharably NE, El-Kilany KS, El-Sayed AE (2013) Optimization using simulation of the vehicle routing problem, world academy of science, engineering and technology. Int J Indus Manuf Eng 7(6):1236–1242

    Google Scholar 

  8. Faulin J, Gilibert M, Juan AA, Vilajosana X, Ruiz R (2008) SR-1: a simulation based heuristic algorithm for the capacitated vehicle routing problem. Winter simulation conference, Miami, FL

    Google Scholar 

  9. Garcia-Najera A, Bullinaria AJ (2011) An improved multi-objective evolutionary algorithm for the vehicle routing problem with time windows. Comput Oper Res 38:287–300

    Article  MathSciNet  Google Scholar 

  10. Hosny, M., and Mumford, C. 2009. Investigating genetic algorithms for solving the multiple vehicle pickup and delivery problem with time windows, MIC: The VIII metaheuristics international conference, Hamburg, Germany

    Google Scholar 

  11. Karakatic S, Podgorelec V (2015) A survey of genetic algorithms for solving multi depot vehicle routing problem. Appl Soft Comput 27:519–532

    Article  Google Scholar 

  12. Koo PH, Lee WS, Jang DW (2004) Fleet sizing and vehicle routing for container transportation. OR Spectrum 26:193–209

    Article  Google Scholar 

  13. Laporte G (1992) The vehicle routing problem: an overview of exact and approximate algorithms. Eur J Oper Res 59:345–358

    Article  Google Scholar 

  14. Montoya-Torres JR, Alfonso-Lizarazo EH, Franco EG, Halabi AX (2009) Using randomization to solve the deterministic single and multiple vehicle routing problem with service time constraints. In: Winter simulation conference, Austin, TX, USA, pp 2989–2994

    Google Scholar 

  15. Pereira FB, Tavares J, Machado P, Costa E (2002) GVR: a new genetic representation for the vehicle routing problem. In: O’Neill M, Sutcliffe RFE, Ryan C, Eaton M, Griffith NJL (eds) Artificial intelligence and cognitive science. AICS 2002. Lecture Notes in Computer Science, 2464. Springer, Berlin, Heidelberg

    Google Scholar 

  16. Subramanian A, Uchoa E, Ochi LS (2013) A hybrid algorithm for a class of vehicle routing problems. Comput Oper Res 40:2519–3253

    Article  Google Scholar 

  17. Uchoa E, Pecin D, Pessoa A, Poggi M, Vidal T, Subramanian A (2017) New benchmark instances for the capacitated vehicle routing problem. Eur J Oper Res 257:845–858

    Article  MathSciNet  Google Scholar 

  18. Ursani Z, Essama D, Cornforthb D, Stocker R (2011) Localized genetic algorithm for vehicle routing problem with time windows. Appl Soft Comput 11:5375–5390

    Article  Google Scholar 

  19. Vidal T, Crainic TG, Gendreau M, Lahrichi N, Rei W (2012) A hybrid genetic algorithm for multidepot and periodic vehicle routing problems. Oper Res 60(3):611–624

    Article  MathSciNet  Google Scholar 

  20. Vidal T, Crainic TG, Gendreau M, Prins C (2014) A unified solution framework for multi-attribute vehicle routing Problems. Eur J Oper Res 234:658–673

    Article  MathSciNet  Google Scholar 

  21. Wang K, Lan S, Zhao Y (2017) A genetic-algorithm based approach to the two-echelon capacitated vehicle routing problem with stochastic demands in logistics service. J Oper Res Soc 68(11):1409–1421

    Article  Google Scholar 

  22. Wassan NA (2006) A reactive tabu search for the vehicle routing problem. J Oper Res Soc 57:111–116

    Article  Google Scholar 

  23. Weyland D, Salani M, Montemanni R, Gambardella LM (2013) Vehicle routing for exhausted oil collection. J Traffic Logistics Eng 1:5–8

    Article  Google Scholar 

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Correspondence to Nayera Elgharably .

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Elgharably, N., Nassef, A., Easa, S., El Damatty, A. (2022). New Hybrid Search Algorithm for the Capacitated Vehicle Routing Problem. In: Walbridge, S., et al. Proceedings of the Canadian Society of Civil Engineering Annual Conference 2021 . CSCE 2021. Lecture Notes in Civil Engineering, vol 250. Springer, Singapore. https://doi.org/10.1007/978-981-19-1065-4_43

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  • DOI: https://doi.org/10.1007/978-981-19-1065-4_43

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-1064-7

  • Online ISBN: 978-981-19-1065-4

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