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基于线性化技术的二次分配问题求解新方法

A new solution method for the quadratic assignment problem based on the linearization technique
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摘要 文章在对已有二次分配问题(QAP)线性化模型深入研究的基础上,提出一种二次分配问题线性化新方法,进而给出了对称二次分配问题的线性化模型.最后,通过求解二次分配基准问题库(QAPLIB)中的部分实例说明了该线性化新方法的有效性和重要性. In this paper,a new linearization of the quadratic assignment problem(QAP) is proposed based on the study on the current various QAP linearizations.Furthermore,the linearization of the symmetric quadratic assignment problem(SQAP) is discussed.Finally,a few of selected instances in the QAPLIB are tested,and the experimental results show that it is feasible and important in solving QAP by using the new linearization technique.
作者 张惠珍 马良
出处 《系统工程理论与实践》 EI CSSCI CSCD 北大核心 2010年第3期527-533,共7页 Systems Engineering-Theory & Practice
基金 国家自然科学基金(70871081) 上海市重点学科建设(S30504)
关键词 二次分配问题 线性化 模型 线性松弛 quadratic assignment problem linearization formulation linear relaxation
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  • 1Burkard R E,et al.The quadratic assignment problem[C]// Dingzhu Du and Pardalos P M.Handbook of Combinatorial Optimization.Dordrecht:Kluwer Academic Publishers,1998,3:241-337
  • 2Qela E.The Quadratic Assignment Problem:Theory and Algorithms[M].Dordrecht:Kluwer Academic Publishers,1998
  • 3Pardalos P M,et al.The quadratic assignment problem:a survey and recent developments[C]// Pardalos P M and Wolkowicz H.Quadratic Assignment and Related Problems,Volume 16 of DIMACS Series in Discrete Mathematics and Theoretical Computer Science,1994,16:1-42
  • 4Anstreicher K M.Recent advances in the solution of quadratic assignment problems[J].Mathematical Programming,2003,97:24-42
  • 5Loiola E M,et al.An analytical survey for the quadratic assignment problem[R].To appear in European Journal of Operational Research
  • 6Lawler E L.The quadratic assignment problem[J].Management Science,1963,9:586-599
  • 7Sahni S,Gonzalez T.P-complete approximation problems[J].Journal of the Association of Computing Machinery,1976,23:555-565
  • 8Gilmore P C.Optimal and suboptimal algorithms for the quadratic assignment problem[J].SIAM Journal on Applied Mathematics,1962,10:305-313
  • 9Li Y,et al.Lower bounds for the quadratic assignment problem[J].Annals of Operations Research,1994,50:387-411
  • 10Hardy G G,et al.Inequalities[M].London and New York:Cambridge University Press,1952

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