An optimal single-machine scheduling with linear deterioration rate and rate-modifying activities

Sheng Yu ()
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Sheng Yu: Zhongnan University of Economics and Law

Journal of Combinatorial Optimization, 2015, vol. 30, issue 2, No 3, 242-252

Abstract: Abstract This paper considers a single-machine scheduling with linear deterioration rate of processing speed and multiple rate-modifying activities simultaneously. A rate-modifying activity can change the processing rate of machine under consideration, which means after each rate-modifying activity the speed of the machine is fully recovered. The integration of these two concept is motivated by human operators and semi-automatic systems that experience performance degradation over time and require rate-modifying activities for recovery. The objective is to minimize the makespan. We need to decide the sequence of jobs and when to schedule the rate-modifying activities. An optimal schedule is proposed, which can solve the problem in $$O(n\log n)$$ O ( n log n ) time where $$n$$ n is the number of jobs.

Keywords: Scheduling; Rate-modifying activity; Makespan; Linear deterioration (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10878-014-9739-8

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