An integer programming approach to scheduling in a contaminated area
This paper presents a time-indexed integer programming formulation for scheduling dependent jobs executed by a team of workers in an area contaminated with radio-active or chemical materials. The dynamics of the harmful factor and the norms of organism recovery imply that each work period for a job should be immediately followed by a rest period for the worker executing this job and the length of the rest period depends on the start time of the corresponding work period. The problem is modeled as an NP-hard problem of scheduling on unrelated parallel processors with start time dependent processing times and different objective functions: maximum or total completion time and maximum or total tardiness. The special case of scheduling jobs executed by a single worker is also considered. Numerical examples and some computational results are reported.
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Volume (Year): 38 (2010)
Issue (Month): 3-4 (June)
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- Janiak, Adam & Kovalyov, Mikhail Y., 2006. "Scheduling in a contaminated area: A model and polynomial algorithms," European Journal of Operational Research, Elsevier, vol. 173(1), pages 125-132, August.
- Wang, Ji-Bo, 2007. "Single-machine scheduling problems with the effects of learning and deterioration," Omega, Elsevier, vol. 35(4), pages 397-402, August.
- Wang, F. -K. & Lee, W., 2001. "Learning curve analysis in total productive maintenance," Omega, Elsevier, vol. 29(6), pages 491-499, December.
- Gentzler, GL & Khalil, TM & Sivazlian, BD, 1977. "Quantitative models for optimal rest period scheduling," Omega, Elsevier, vol. 5(2), pages 215-220.
- Cheng, T. C. E. & Ding, Q. & Lin, B. M. T., 2004. "A concise survey of scheduling with time-dependent processing times," European Journal of Operational Research, Elsevier, vol. 152(1), pages 1-13, January.
- Wang, Ji-Bo & Xia, Zun-Quan, 2006. "Flow shop scheduling with deteriorating jobs under dominating machines," Omega, Elsevier, vol. 34(4), pages 327-336, August.
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