A Hybrid Algorithm for Computing Tours in a Spare Parts Warehouse

作者: Matthias Prandtstetter , Günther R. Raidl , Thomas Misar

DOI: 10.1007/978-3-642-01009-5_3

关键词: Dynamic programmingTask (computing)Scheme (programming language)Variable (computer science)Hybrid algorithmVariable neighborhood searchComputationSpare partMathematical optimizationComputer science

摘要: We consider a real-world problem arising in warehouse for spare parts. Items ordered by customers shall be collected and this purpose our task is to determine efficient pickup tours within the warehouse. The algorithm we propose embeds dynamic programming computing individual optimal walks through general variable neighborhood search (VNS) scheme. To enhance performance of approach introduce new self-adaptive descent used as local improvement procedure VNS. Experimental results indicate that method provides valuable plans, whereas computation times are kept low several constraints typically stated parts suppliers fulfilled.

参考文章(15)
Alexander Ostertag, Karl F. Doerner, Richard F. Hartl, A Variable Neighborhood Search Integrated in the POPMUSIC Framework for Solving Large Scale Vehicle Routing Problems HM '08 Proceedings of the 5th International Workshop on Hybrid Metaheuristics. pp. 29- 42 ,(2008) , 10.1007/978-3-540-88439-2_3
The vehicle routing problem Society for Industrial and Applied Mathematics. ,(2001) , 10.1137/1.9780898718515
Paolo Toth, Daniele Vigo, Models, relaxations and exact approaches for the capacitated vehicle routing problem Discrete Applied Mathematics. ,vol. 123, pp. 487- 512 ,(2002) , 10.1016/S0166-218X(01)00351-1
N. Mladenović, P. Hansen, Variable neighborhood search Computers & Operations Research. ,vol. 24, pp. 1097- 1100 ,(1997) , 10.1016/S0305-0548(97)00031-2
Moshe Dror, Gilbert Laporte, Pierre Trudeau, Vehicle routing with split deliveries Discrete Applied Mathematics. ,vol. 50, pp. 239- 254 ,(1994) , 10.1016/0166-218X(92)00172-I
Vera C. Hemmelmayr, Karl F. Doerner, Richard F. Hartl, A variable neighborhood search heuristic for periodic routing problems European Journal of Operational Research. ,vol. 195, pp. 791- 802 ,(2009) , 10.1016/J.EJOR.2007.08.048
Corinne Feremans, Martine Labbé, Gilbert Laporte, Generalized Network Design Problems European Journal of Operational Research. ,vol. 148, pp. 1- 13 ,(2003) , 10.1016/S0377-2217(02)00404-6
Marius M. Solomon, Algorithms for the vehicle routing and scheduling problems with time window constraints Operations Research. ,vol. 35, pp. 254- 265 ,(1987) , 10.1287/OPRE.35.2.254
T.K. Ralphs, L. Kopman, W.R. Pulleyblank, L.E. Trotter, On the capacitated vehicle routing problem Mathematical Programming. ,vol. 94, pp. 343- 359 ,(2003) , 10.1007/S10107-002-0323-0
René de Koster, Tho Le-Duc, Kees Jan Roodbergen, Design and control of warehouse order picking: A literature review European Journal of Operational Research. ,vol. 182, pp. 481- 501 ,(2007) , 10.1016/J.EJOR.2006.07.009