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題名 Evaluating A Posteriori Solution Techniques for Bi-criteria Parallel Machine Scheduling Problems
作者 J. W. Fowler;Kim W. M.;W. M. Carlyle;E. Gel;洪叔民
Fowler, John W. ; Kim, Bosun ; Carlyle, W. Matthew ; Gel, Esma Senturk; Horng, Shwu-Min
關鍵詞 multiple criteria combinatorial optimization; comparison measures; parallel machine scheduling
日期 2005-01
上傳時間 25-Nov-2008 10:46:32 (UTC+8)
摘要 The quality of an approximate solution for combinatorial optimization problems with a single objective can be evaluated relatively easily. However, this becomes more difficult when there are multiple objectives. One potential approach to solving multiple criteria combinatorial optimization problems when at least one of the single objective problems is NP-complete, is to use an a posteriori method that approximates the efficient frontier. A common difficulty in this type of approach, however, is evaluating the quality of approximate solutions, since sets of multiple solutions should be evaluated and compared. This necessitates the use of a comparison measure that is robust and accurate. Furthermore, a robust measure plays an important role in metaheuristic optimization for “tuning” various parameters for evolutionary algorithms, simulated annealing, etc., which are frequently employed for multiple criteria combinatorial optimization problems. In this paper, the performance of a new measure, which we call Integrated Convex Preference (ICP) is compared to that of other measures appearing in the literature through numerical experiments—specifically, we use two a posteriori solution techniques based on genetic algorithms for a bi-criteria parallel machine scheduling problem and evaluate their performance (in terms of solution quality) using different measures. Experimental results show that the ICP measure evaluates the solution quality of approximations robustly (i.e., similar to visual comparison results) while other alternative measures can misjudge the solution quality. We note that the ICP measure can be applied to other non-scheduling multiple objective combinatorial optimization problems, as well.
關聯 Journal of Scheduling, 8(1), 75-96
資料類型 article
DOI http://dx.doi.org/10.1007/s10951-005-5316-4
dc.creator (作者) J. W. Fowler;Kim W. M.;W. M. Carlyle;E. Gel;洪叔民en_US
dc.creator (作者) Fowler, John W. ; Kim, Bosun ; Carlyle, W. Matthew ; Gel, Esma Senturk; Horng, Shwu-Min-
dc.date (日期) 2005-01en_US
dc.date.accessioned 25-Nov-2008 10:46:32 (UTC+8)-
dc.date.available 25-Nov-2008 10:46:32 (UTC+8)-
dc.date.issued (上傳時間) 25-Nov-2008 10:46:32 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/10280-
dc.description.abstract (摘要) The quality of an approximate solution for combinatorial optimization problems with a single objective can be evaluated relatively easily. However, this becomes more difficult when there are multiple objectives. One potential approach to solving multiple criteria combinatorial optimization problems when at least one of the single objective problems is NP-complete, is to use an a posteriori method that approximates the efficient frontier. A common difficulty in this type of approach, however, is evaluating the quality of approximate solutions, since sets of multiple solutions should be evaluated and compared. This necessitates the use of a comparison measure that is robust and accurate. Furthermore, a robust measure plays an important role in metaheuristic optimization for “tuning” various parameters for evolutionary algorithms, simulated annealing, etc., which are frequently employed for multiple criteria combinatorial optimization problems. In this paper, the performance of a new measure, which we call Integrated Convex Preference (ICP) is compared to that of other measures appearing in the literature through numerical experiments—specifically, we use two a posteriori solution techniques based on genetic algorithms for a bi-criteria parallel machine scheduling problem and evaluate their performance (in terms of solution quality) using different measures. Experimental results show that the ICP measure evaluates the solution quality of approximations robustly (i.e., similar to visual comparison results) while other alternative measures can misjudge the solution quality. We note that the ICP measure can be applied to other non-scheduling multiple objective combinatorial optimization problems, as well.-
dc.format application/en_US
dc.language enen_US
dc.language en-USen_US
dc.language.iso en_US-
dc.relation (關聯) Journal of Scheduling, 8(1), 75-96en_US
dc.subject (關鍵詞) multiple criteria combinatorial optimization; comparison measures; parallel machine scheduling-
dc.title (題名) Evaluating A Posteriori Solution Techniques for Bi-criteria Parallel Machine Scheduling Problemsen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1007/s10951-005-5316-4en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1007/s10951-005-5316-4 en_US