期刊
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
卷 177, 期 1, 页码 325-343出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ejor.2005.11.029
关键词
scheduling; bicriteria optimization; controllable processing times; CNC machines; manufacturing cost; total weighted completion time
A well known industry application that allows controllable processing times is the manufacturing operations on CNC machines. For each turning operation as an example, there is a nonlinear relationship between the manufacturing cost and its required processing time on a CNC turning machine. If we consider total manufacturing cost (F-1) and total weighted completion time (F-2) objectives simultaneously on a single CNC machine, making appropriate processing time decisions is as critical as making job sequencing decisions. We first give an effective model for the problem of minimizing F-1 subject to a given F-2 level. We deduce some optimality properties for this problem. Based on these properties, we propose a heuristic algorithm to generate an approximate set of efficient solutions. Our computational results indicate that the proposed algorithm performs better than the GAMS/MINOS commercial solver both in terms of solution quality and computational requirements such that the average CPU time is only 8% of the time required by the GAMS/MINOS. (c) 2006 Elsevier B.V. All rights reserved.
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