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Abstract
A problem of scheduling deteriorating jobs on a single processor is considered. The processing time of a job is given by a function pi=ai+bisi, where si is the starting time of the job, ai>=0, bi>=0, for i=1,...,n. Jobs are non-preemptive and independent and there are neither ready times nor deadlines. The goal is to minimize the total weighted completion time. We show how to employ the concept of non-dominated schedules to construct an exact algorithm for the problem. We also consider extending the algorithm to solve problems with precedence constraints and finding all Pareto-optimal solutions. Then we present how to use the concept to the problem 1|pi=a+bisi|sum Ci. We use elimination of dominated partial schedules to improve the efficiency of a branch-and-bound algorithm and present another algorithm, based solely on the elimination of dominated partial schedules.
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Details
- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
OPTIMIZATION
no. 62,
pages 1341 - 1356,
ISSN: 0233-1934 - Language:
- English
- Publication year:
- 2013
- Bibliographic description:
- Ocetkiewicz K.: Partial dominated schedules and minimizing the total completion time of deteriorating jobs// OPTIMIZATION. -Vol. 62, nr. 10 (2013), s.1341-1356
- DOI:
- Digital Object Identifier (open in new tab) 10.1080/02331934.2013.836647
- Verified by:
- Gdańsk University of Technology
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