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Journal of Combinatorial Optimization

, Volume 31, Issue 1, pp 152–181 | Cite as

The blocking job shop with rail-bound transportation

  • Reinhard Bürgy
  • Heinz Gröflin
Article

Abstract

The blocking job shop with rail-bound transportation (BJS-RT) considered here is a version of the job shop scheduling problem characterized by the absence of buffers and the use of a rail-bound transportation system. The jobs are processed on machines and are transported from one machine to the next by mobile devices (called robots) that move on a single rail. The robots cannot pass each other, must maintain a minimum distance from each other, but can also “move out of the way”. The objective of the BJS-RT is to determine for each machining operation its starting time and for each transport operation its assigned robot and starting time, as well as the trajectory of each robot, in order to minimize the makespan. Building on previous work of the authors on the flexible blocking job shop and an analysis of the feasible trajectory problem, a formulation of the BJS-RT in a disjunctive graph is derived. Based on the framework of job insertion in this graph, a local search heuristic generating consistently feasible neighbor solutions is proposed. Computational results are presented, supporting the value of the approach.

Keywords

Job shop scheduling Blocking Rail-bound transportation Robots Disjunctive graph Job insertion  Tabu search 

Notes

Acknowledgments

We thank an anonymous referee for her or his lucid and constructive remarks which led to several improvements in the exposition of the paper.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of InformaticsUniversity of FribourgFribourgSwitzerland

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