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Volumn 37, Issue 11, 2010, Pages 2007-2016

Effective formulation reductions for the quadratic assignment problem

Author keywords

Linear integer programming; Linear programming relaxation; Quadratic assignment problem; Sparse matrix

Indexed keywords

COMPUTATIONAL EXPERIMENT; CONSTRAINT REDUCTION; COST MATRICES; INTEGER LINEAR PROGRAMMING FORMULATION; LINEAR INTEGER PROGRAMMING; LINEAR PROGRAMMING RELAXATION; QUADRATIC ASSIGNMENT PROBLEMS; SPARSE MATRICES;

EID: 77951108099     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cor.2010.02.001     Document Type: Article
Times cited : (21)

References (42)
  • 1
    • 33847058826 scopus 로고    scopus 로고
    • A level-2 reformulation linearization technique bound for the quadratic assignment problem
    • Adams W.P., Guignard M., Hahn P.M., and Hightower W.L. A level-2 reformulation linearization technique bound for the quadratic assignment problem. European Journal of Operational Research 180 3 (2007) 983-996
    • (2007) European Journal of Operational Research , vol.180 , Issue.3 , pp. 983-996
    • Adams, W.P.1    Guignard, M.2    Hahn, P.M.3    Hightower, W.L.4
  • 3
    • 0034079265 scopus 로고    scopus 로고
    • A greedy genetic algorithm for the quadratic assignment problem
    • Ahuja R.K., Orlin J.B., and Tivari A. A greedy genetic algorithm for the quadratic assignment problem. Computers and Operations Research 27 10 (2000) 917-934
    • (2000) Computers and Operations Research , vol.27 , Issue.10 , pp. 917-934
    • Ahuja, R.K.1    Orlin, J.B.2    Tivari, A.3
  • 5
    • 2942696007 scopus 로고    scopus 로고
    • Recent advances in the solution of quadratic assignment problems
    • Anstreicher K.M. Recent advances in the solution of quadratic assignment problems. Mathematical Programming 97 1-2 (2003) 27-42
    • (2003) Mathematical Programming , vol.97 , Issue.1-2 , pp. 27-42
    • Anstreicher, K.M.1
  • 6
    • 0036454519 scopus 로고    scopus 로고
    • Solving quadratic assignment problems using convex quadratic programming relaxations
    • Brixius N.W., and Anstreicher K.M. Solving quadratic assignment problems using convex quadratic programming relaxations. Optimization Methods and Software 16 1-4 (2001) 49-68
    • (2001) Optimization Methods and Software , vol.16 , Issue.1-4 , pp. 49-68
    • Brixius, N.W.1    Anstreicher, K.M.2
  • 7
    • 0034340204 scopus 로고    scopus 로고
    • Using quadratic assignment methods to generate initial permutations for least-squares unidimensional scaling of symmetric proximity matrices
    • Brusco M.J., and Stahl S. Using quadratic assignment methods to generate initial permutations for least-squares unidimensional scaling of symmetric proximity matrices. Journal of Classification 17 2 (2000) 197-223
    • (2000) Journal of Classification , vol.17 , Issue.2 , pp. 197-223
    • Brusco, M.J.1    Stahl, S.2
  • 13
    • 34548434653 scopus 로고    scopus 로고
    • Extensive experiments with hybrid genetic algorithms for the solution of the quadratic assignment problem
    • Drezner Z. Extensive experiments with hybrid genetic algorithms for the solution of the quadratic assignment problem. Computers and Operations Research 35 3 (2008) 717-736
    • (2008) Computers and Operations Research , vol.35 , Issue.3 , pp. 717-736
    • Drezner, Z.1
  • 14
    • 33746372113 scopus 로고    scopus 로고
    • The quadratic assignment problem in the context of the printed circuit board assembly process
    • Duman E., and Or I. The quadratic assignment problem in the context of the printed circuit board assembly process. Computers and Operations Research 34 1 (2007) 163-179
    • (2007) Computers and Operations Research , vol.34 , Issue.1 , pp. 163-179
    • Duman, E.1    Or, I.2
  • 15
    • 33748746235 scopus 로고    scopus 로고
    • A branch-and-cut algorithm for quadratic assignment problems based on linearizations
    • Erdogan G., and Tansel B. A branch-and-cut algorithm for quadratic assignment problems based on linearizations. Computers and Operations Research 34 4 (2007) 1085-1106
    • (2007) Computers and Operations Research , vol.34 , Issue.4 , pp. 1085-1106
    • Erdogan, G.1    Tansel, B.2
  • 18
    • 0016971681 scopus 로고
    • Scheduling parallel production lines with changeover costs: practical applications of a quadratic assignment/lp approach
    • Geoffrion A.M., and Graves G.W. Scheduling parallel production lines with changeover costs: practical applications of a quadratic assignment/lp approach. Operations Research 24 4 (1976) 595-610
    • (1976) Operations Research , vol.24 , Issue.4 , pp. 595-610
    • Geoffrion, A.M.1    Graves, G.W.2
  • 19
    • 0001703624 scopus 로고
    • Optimal and suboptimal algorithms for the quadratic assignment problem
    • Gilmore P.C. Optimal and suboptimal algorithms for the quadratic assignment problem. SIAM Journal on Applied Mathematics 10 2 (1962) 305-313
    • (1962) SIAM Journal on Applied Mathematics , vol.10 , Issue.2 , pp. 305-313
    • Gilmore, P.C.1
  • 20
    • 0000290202 scopus 로고
    • A new lower bound via projection for the quadratic assignment problem
    • Hadley S.W., Rendl F., and Wolkowicz H. A new lower bound via projection for the quadratic assignment problem. Mathematics of Operations Research 17 3 (1992) 727-739
    • (1992) Mathematics of Operations Research , vol.17 , Issue.3 , pp. 727-739
    • Hadley, S.W.1    Rendl, F.2    Wolkowicz, H.3
  • 21
    • 0032143777 scopus 로고    scopus 로고
    • A branch-and-bound algorithm for the quadratic assignment problem based on the Hungarian method
    • Hahn P., Grant T., and Hall N. A branch-and-bound algorithm for the quadratic assignment problem based on the Hungarian method. European Journal of Operational Research 108 3 (1998) 629-640
    • (1998) European Journal of Operational Research , vol.108 , Issue.3 , pp. 629-640
    • Hahn, P.1    Grant, T.2    Hall, N.3
  • 22
    • 0017969028 scopus 로고
    • An algorithm for the quadratic assignment problem using benders' decomposition
    • Kaufmann L., and Broeckxm F. An algorithm for the quadratic assignment problem using benders' decomposition. European Journal of Operational Research 2 3 (1978) 204-211
    • (1978) European Journal of Operational Research , vol.2 , Issue.3 , pp. 204-211
    • Kaufmann, L.1    Broeckxm, F.2
  • 23
    • 0002384937 scopus 로고
    • Assignment problems and the location of economic activities
    • Koopmans T.C., and Beckmann M.J. Assignment problems and the location of economic activities. Econometrica 25 1 (1957) 53-76
    • (1957) Econometrica , vol.25 , Issue.1 , pp. 53-76
    • Koopmans, T.C.1    Beckmann, M.J.2
  • 24
    • 0000282077 scopus 로고
    • The quadratic assignment problem
    • Lawler E.L. The quadratic assignment problem. Management Science 9 4 (1963) 586-599
    • (1963) Management Science , vol.9 , Issue.4 , pp. 586-599
    • Lawler, E.L.1
  • 28
    • 0029270749 scopus 로고
    • A parallel depth first search branch and bound algorithm for the quadratic assignment problem
    • Mans B., Mautor T., and Roucairol C. A parallel depth first search branch and bound algorithm for the quadratic assignment problem. European Journal of Operational Research 81 3 (1995) 617-628
    • (1995) European Journal of Operational Research , vol.81 , Issue.3 , pp. 617-628
    • Mans, B.1    Mautor, T.2    Roucairol, C.3
  • 30
    • 0742288849 scopus 로고    scopus 로고
    • A modified simulated annealing algorithm for the quadratic assignment problem
    • Misevicius A. A modified simulated annealing algorithm for the quadratic assignment problem. Informatica 14 4 (2003) 497-514
    • (2003) Informatica , vol.14 , Issue.4 , pp. 497-514
    • Misevicius, A.1
  • 31
    • 13844263211 scopus 로고    scopus 로고
    • Box-inequalities for quadratic assignment polytopes
    • Junger M., and Kaibel V. Box-inequalities for quadratic assignment polytopes. Mathematical Programming 91 Ser.A (2001) 175-197
    • (2001) Mathematical Programming , vol.91 , Issue.Ser.A , pp. 175-197
    • Junger, M.1    Kaibel, V.2
  • 33
    • 77951100434 scopus 로고    scopus 로고
    • The qap polytope and the star-transformation
    • Junger M., and Kaibel V. The qap polytope and the star-transformation. SIAM Journal of Optimization 11 2 (2001) 444-468
    • (2001) SIAM Journal of Optimization , vol.11 , Issue.2 , pp. 444-468
    • Junger, M.1    Kaibel, V.2
  • 38
    • 0000138587 scopus 로고
    • Computing lower bounds for the quadratic assignment problem with an interior point algorithm for linear programming
    • Resende M.G.C., Ramakrishnan K.G., and Drezner Z. Computing lower bounds for the quadratic assignment problem with an interior point algorithm for linear programming. Operations Research 43 5 (1995) 781-791
    • (1995) Operations Research , vol.43 , Issue.5 , pp. 781-791
    • Resende, M.G.C.1    Ramakrishnan, K.G.2    Drezner, Z.3
  • 41
    • 38349127409 scopus 로고    scopus 로고
    • Improved gilmore-lawler bound for quadratic assignment problems
    • Xia Y. Improved gilmore-lawler bound for quadratic assignment problems. Chinese Journal of Engineering Mathematics 24 3 (2007) 401-413
    • (2007) Chinese Journal of Engineering Mathematics , vol.24 , Issue.3 , pp. 401-413
    • Xia, Y.1
  • 42
    • 0003072982 scopus 로고    scopus 로고
    • Semidefinite programming relaxations for the quadratic assignment problem
    • Zhao Q., Karisch S.E., Rendl F., et al. Semidefinite programming relaxations for the quadratic assignment problem. Journal of Combinatorial Optimization 2 1 (1998) 71-109
    • (1998) Journal of Combinatorial Optimization , vol.2 , Issue.1 , pp. 71-109
    • Zhao, Q.1    Karisch, S.E.2    Rendl, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.