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http://hdl.handle.net/10397/6037
Title: | Bicriterion single machine scheduling with resource dependent processing times | Authors: | Cheng, TCE Janiak, A Kovalyov, MY |
Issue Date: | May-1998 | Source: | SIAM journal on optimization, May 1998, v. 8, no. 2, p. 617-630 | Abstract: | A bicriterion problem of scheduling jobs on a single machine is studied. The processing time of each job is a linear decreasing function of the amount of a common discrete resource allocated to the job. A solution is specified by a sequence of the jobs and a resource allocation. The quality of a solution is measured by two criteria, F₁ and F₂. The first criterion is the maximal or total (weighted) resource consumption, and the second criterion is a regular scheduling criterion depending on the job completion times. Both criteria have to be minimized. General schemes for the construction of the Pareto set and the Pareto set ϵ-approximation are presented. Computational complexities of problems to minimize F₁ subject to F₂ ≤ K and to minimize F₂ subject to F₁≤ K, where K is any number, are studied for various functions F₁ and F₂. Algorithms for solving these problems and for the construction of the Pareto set and the Pareto set ϵ-approximation for the corresponding bicriterion problems are presented. | Keywords: | Single machine scheduling Resource allocation Bicriterion scheduling Approximation |
Publisher: | Society for Industrial and Applied Mathematics | Journal: | SIAM Journal on optimization | ISSN: | 1052-6234 | EISSN: | 1095-7189 | DOI: | 10.1137/S1052623495288192 | Rights: | © 1998 Society for Industrial and Applied Mathematics |
Appears in Collections: | Journal/Magazine Article |
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Cheng_Bicriterion_Single_Machine.pdf | 388.87 kB | Adobe PDF | View/Open |
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