0-1 Quadratic programming approach for optimum solutions of two scheduling problems
作者:
BAHRAM ALIDAEE,
GARYA. KOCHENBERGER,
AHMAD AHMADIAN,
期刊:
International Journal of Systems Science
(Taylor Available online 1994)
卷期:
Volume 25,
issue 2
页码: 401-408
ISSN:0020-7721
年代: 1994
DOI:10.1080/00207729408928968
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Two scheduling problems are considered: (1) scheduling n jobs non-preemptively on a single machine to minimize total weighted earliness and tardiness (WET); (2) scheduling n jobs non-preemptively on two parallel identical processors to minimize weighted mean flow time. In the second problem, a pre-ordering of the jobs is assumed that must be satisfied for any set of jobs scheduled on each specific machine. Both problems are known to be NP-complete. A 0-1 quadratic assignment formulation of the problems is presented. An equivalent 0-1 mixed integer linear programming approach for the problems are considered and a numerical example is given. The formulations presented enable one to use optimal and heuristic available algorithms of 0-1 quadratic assignment for the problems considered here.
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