Minimizing makespan for two parallel machines with job limit on each availability interval

Liao C-J (), Chen C-M and Lin C-H
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Liao C-J: National Taiwan University of Science and Technology
Chen C-M: National Taiwan University of Science and Technology
Lin C-H: Jin Wen Institute of Technology

Journal of the Operational Research Society, 2007, vol. 58, issue 7, 938-947

Abstract: Abstract We consider the problem of scheduling jobs on two parallel machines that are not continuously available for processing. The machine is not available after processing a fixed number of jobs in order to make precision adjustment of machines such as in wafer manufacturing, to reload the feeder in printed circuit board production, or to undertake any other maintenance works such as cleaning and safety inspections. The objective of the problem is to minimize the makespan. Two different scheduling horizons are investigated for this problem. For the short-term scheduling horizon, we consider only the time period before the unavailability interval, while for the long-term horizon, machines are allowed to restart processing after the unavailability interval. For both cases, which are strongly NP-hard, exact optimization algorithms based on the branch and bound method are proposed. Although the algorithms have exponential time complexities, computational results show that they can solve optimally the various-sized problems in reasonable computation time.

Keywords: scheduling; parallel machines; availability constraint; makespan; branch and bound method (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (3)

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DOI: 10.1057/palgrave.jors.2602209

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