Multi-start simulated annealing heuristic for the location routing problem with simultaneous pickup and delivery

Vincent F. Yu, Shih Wei Lin*

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

79 Scopus citations

Abstract

The location routing problem with simultaneous pickup and delivery (LRPSPD) is a new variant of the location routing problem (LRP). The objective of LRPSPD is to minimize the total cost of a distribution system including vehicle traveling cost, depot opening cost, and vehicle fixed cost by locating the depots and determining the vehicle routes to simultaneously satisfy the pickup and the delivery demands of each customer. LRPSPD is NP-hard since its special case, LRP, is NP-hard. Thus, this study proposes a multi-start simulated annealing (MSA) algorithm for solving LRPSPD which incorporates multi-start hill climbing strategy into simulated annealing framework. The MSA algorithm is tested on 360 benchmark instances to verify its performance. Results indicate that the multi-start strategy can significantly enhance the performance of traditional single-start simulated annealing algorithm. Our MSA algorithm is very effective in solving LRPSPD compared to existing solution approaches. It obtained 206 best solutions out of the 360 benchmark instances, including 126 new best solutions.

Original languageEnglish
Pages (from-to)284-290
Number of pages7
JournalApplied Soft Computing Journal
Volume24
DOIs
StatePublished - 11 2014
Externally publishedYes

Keywords

  • Location routing problem
  • Metaheuristics
  • Multi-start simulated annealing
  • Simultaneous pickup and delivery

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