Abstract
The need for efficient transportation is ever increasing in every society over the globe. Transportation costs account for a significant percentage of the total cost of a product. Strong global competition continues to aggravate the demand for higher efficiency, high quality of service, timeliness, reactivity, and cost-effectiveness in transportation. It is therefore important to optimize vehicle routing in order to provide cost-effective services to customers and to maintain the momentum of the business in the long term. Multiple criteria such as routing cost and workload balancing should be considered. This chapter considers the fleet size and mix vehicle routing problem (FSMVRP), where the fleet size and its composition are to be determined. A multi-criterion grouping genetic algorithm (GGA) with unique grouping genetic operators is presented and tested on benchmark problems. Comparative computational results show that GGA is competitive in multi-criterion decision making.
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References
Ai J, Kachitvichyanukul V (2009) Particle swarm optimization and two solution representations for solving the capacitated vehicle routing problem. Comput Ind Eng 56:380–387
Avci M, Topaloglu S (2016) A hybrid metaheuristic algorithm for heterogeneous vehicle routing problem with simultaneous pickup and delivery. Expert Syst Appl 53:160–171
Brandao J (2008) A deterministic tabu search algorithm for the fleet size and mix vehicle routing problem. Eur J Oper Res 195(3):716–728
Braysey O, Gendreau M (2005) Vehicle routing problems with time windows, Part I: Route construction and local search algorithms. Transp Sci 39(1):104–118
Choi E, Tcha DW (2007) A column generation approach to the heterogeneous fleet vehicle routing problem. Comput Oper Res 34:2080–2095
Christiansen M, Fagerholt K, Ronen D, Nygreen B (2007) Maritime transportation. In: Barnhart C, Laporte G (eds) Handbook in operations research and management science. Elsevier, Amsterdam, pp 189–284
Clarke G, Wright JW (1964) Scheduling of vehicles from a central depot to a number of delivery points. Oper Res 12:568–581
Dantzig GB, Ramser JH (1959) The truck dispatching problem. Manage Sci 6:80–91
Desrochers M, Verhoog TW (1991) A new heuristic for the fleet size and mix vehicle routing problem. Comput Oper Res 18:263–274
Engevall S, Gothe-Lundgren M, Varbrand P (2004) The heterogeneous vehicle routing game. Transp Sci 38:71–85
Erdogan S, Miller-Hooks E (2012) A green vehicle routing problem. Transp Res Part E 48:100–114
Fisher M, Jaikumar R (1981) A generalized assignment heuristic for vehicle routing. Networks 11:109–124
Gendreau M, Laporte G, Musaraganyi C, Taillard ED (1999) A tabu search heuristic for the heterogeneous fleet vehicle routing problem. Comput Oper Res 26:1153–1173
Gillett B, Miller L (1974) A heuristic for the vehicle dispatching problem. Oper Res 22:340–349
Golden B, Assad A, Levy L, Gheysens F (1984) The fleet size and mix vehicle routing problem. Comput Oper Res 11:49–66
Hoff A, Andersson H, Christiansen M, Hasle G, Løkketangen A (2010) Industrial aspects and literature survey: fleet composition and routing. Comput Oper Res 37:2041–2061
Koç Ç, Bektaş T, Jabali O, Laporte G (2015) A hybrid evolutionary algorithm for heterogeneous fleet vehicle routing problems with time windows. Comput Oper Res 64:11–27
Koç Ç, Bektaş T, Jabali O, Laporte G (2016) The fleet size and mix location-routing problem with time windows: formulations and a heuristic algorithm. Eur J Oper Res 248(1):33–51
Lima CMRR, Goldbarg MC, Goldbarg EFG (2004) A memetic algorithm for the heterogeneous fleet vehicle routing problem. Electron Notes Discrete Math 18:171–176
Lima FMS, Pereira DSD, Conceição SV, Nunes NTR (2016) A mixed load capacitated rural school bus routing problem with heterogeneous fleet: algorithms for the Brazilian context. Expert Syst Appl 56:320–334. Available online 17 March 2016
Liu S, Huang W, Ma H (2009) An effective genetic algorithm for the fleet size and mix vehicle routing problems. Transp Res Part E 45:434–445
Moghadam BF, Seyedhosseini SM (2010) A particle swarm approach to solve vehicle routing problem with uncertain demand: a drug distribution case study. Int J Ind Eng Comput 1:55–66
Mutingi M, Mbohwa C (2012b) Enhanced group genetic algorithm for the heterogeneous fixed fleet vehicle routing problem. IEEE international conference on industrial engineering and engineering management, Hong Kong, 10–13 Dec 2012, pp 207–2011
Mutingi M, Mbohwa C (2014) A Fuzzy-based particle swarm optimization approach for task assignment in home healthcare. South African J Ind Eng 25(3):84–95
Mutingi M, Mbohwa C (2016) Fuzzy grouping genetic algorithm for homecare staff scheduling. In: Mutingi M and Mbohwa C (ed) Healthcare Staff Scheduling: Emerging Fuzzy Optimization Approaches, 1st edn. CRC Press, Taylor & Francis, New York, 119–136
Ochi LS, Vianna DS, Drummond LM, Victor AO (1998) A parallel evolutionary algorithm for the vehicle routing problem with heterogeneous fleet. Future Gener Comput Syst 14:285–292
Osman S, Salhi S (1996) Local search strategies for the vehicle fleet mix problem. In: Rayward-Smith VJ, Osman IH, Reeves CR, Smith GD (eds) Modern heuristic search methods. Wiley, New York, pp 131–153
Prins C (2004) A simple and effective evolutionary algorithm for the vehicle routing problem. Comput Oper Res 31:1985–2002
Renaud J, Boctor FF (2002) A sweep-based algorithm for the fleet size and mix vehicle routing problem. Eur J Oper Res 140:618–628
Salhi S, Rand GK (1993) Incorporating vehicle routing into the vehicle fleet composition problem. Eur J Oper Res 66:313–330
Taillard ED (1999) A heuristic column generation method for the heterogeneous fleet VRP. RAIRO 33:1–34
Tarantilis CD, Kiranoudis CT, Vassiliadis VS (2004) A threshold accepting metaheuristic for the heterogeneous fixed fleet vehicle routing problem. Eur J Oper Res 152:148–158
Toth P, Vigo D (2012) The vehicle routing problem, SIAM monograph on discrete mathematics and applications. SIAM, Philadelphia, PA
Wang X, Gloden B, Wasil E (2008) Using a genetic algorithm to solve the generalized orienteering problem. In: Golden B, Raghavan S, Wasil E (eds) The vehicle routing problem: latest advances and new challenges. Springer, Berlin, 263–274
Wang Z, Li Y, Hu X (2015) A heuristic approach and a for the heterogeneous multi-type fleet vehicle routing problem with time windows and an incompatible loading constraint. Comput Ind Eng 89:162–176
Wassan NA, Osman IH (2002) Tabu search variants for the mix fleet vehicle routing problem. J Oper Res Soc 53:768–782
Yaman H (2006) Formulations and valid inequalities for the heterogeneous vehicle routing problem. Math Program 106:365–390
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Mutingi, M., Mbohwa, C. (2017). Fleet Size and Mix Vehicle Routing: A Multi-Criterion Grouping Genetic Algorithm Approach. In: Grouping Genetic Algorithms. Studies in Computational Intelligence, vol 666. Springer, Cham. https://doi.org/10.1007/978-3-319-44394-2_8
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