 An integer programming approach to scheduling in a contaminated areaOmega, 2010, vol. 38, issue 3-4, 179-191 Abstract: 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. Keywords: Scheduling; Integer; programming; Parallel; processors; Start; time; dependent; processing; time; Contaminated; area (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:jomega:v:38:y:2010:i:3-4:p:179-191 Ordering information: This journal article can be ordered from Access Statistics for this article Omega is currently edited by B. Lev More articles in Omega from Elsevier |
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