Heuristics for a coupled-operation scheduling problem

Potts, C.N. and Whitehead, J.D. (2007) Heuristics for a coupled-operation scheduling problem Journal of the Operational Research Society, 58, (10), pp. 1375-1388. (doi:10.1057/palgrave.jors.2602272).


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In this paper, we study a strongly NP-hard single machine scheduling problem in which each job consists of two operations that are separated by a time delay which lies within a specified range. The objective is to minimise the makespan. Determining the feasibility and, if applicable, makespan of any proposed permutation of the operations is non-trivial, requiring a longest path algorithm with O(n^2) complexity for each permutation.
Several heuristic algorithms are proposed: a deterministic and randomised construction algorithm, three descent algorithms and two reactive tabu search algorithms. The local search algorithms use a first improvement neighbourhood and mainly visit only feasible solutions within the search space. Results of extensive computational tests are reported, showing that the heavy computational burden of testing potential solutions renders the local search algorithms uncompetitive in comparison to the construction algorithms. The iterated descent algorithm performs least well.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1057/palgrave.jors.2602272
Additional Information: Theoretical paper
ISSNs: 0160-5682 (print)
Keywords: scheduling/sequencing, bounded delay, heuristics, local search, combinatorial optimization
Subjects: Q Science > QA Mathematics
Organisations: Operational Research
ePrint ID: 42943
Date :
Date Event
October 2007Published
Date Deposited: 03 Jan 2007
Last Modified: 16 Apr 2017 18:50
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/42943

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