Branch-and-bound and weight-combination search algorithms for the total completion time problem with step-deteriorating jobs

He C-C, Wu C-C and Lee W-C ()
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He C-C: Feng Chia University
Wu C-C: Feng Chia University
Lee W-C: Feng Chia University

Journal of the Operational Research Society, 2009, vol. 60, issue 12, 1759-1766

Abstract: Abstract In many real situations, it is found that if certain maintenance procedures fail to be completed prior to a pre-specified deterioration date, then the jobs will require extra time for successful completion. In this paper, a single-machine total completion time problem with step-deteriorating jobs is considered. A branch-and-bound method incorporated with several dominance properties and a lower bound is developed to derive the optimal solution for this problem. In addition, a weight-combination search algorithm is proposed to search for a near-optimal solution. Computational results indicate that the branch-and-bound algorithm can solve most of the problems with up to 24 jobs in a reasonable amount of time. Moreover, the proposed heuristic algorithm is accurate with mean deviations from the optimum value of less than 0.3%.

Keywords: scheduling; single-machine; step-deteriorating jobs; total completion time (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (3)

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DOI: 10.1057/jors.2008.123

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