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Volumn 108, Issue 3, 1998, Pages 629-640

A branch-and-bound algorithm for the quadratic assignment problem based on the Hungarian method

Author keywords

Branch and bound; Integer programming; Mathematical programming; Quadratic assignment problem; Quadratic programming

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; INTEGER PROGRAMMING; MATHEMATICAL PROGRAMMING; PROBLEM SOLVING;

EID: 0032143777     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(97)00063-5     Document Type: Article
Times cited : (70)

References (27)
  • 1
    • 0003170674 scopus 로고
    • Advanced search techniques for circuit partitioning
    • P. Pardalos, H. Wolkowicz (Eds.), Quadratic Assignment and Related Problems
    • S. Areibi, A. Vannelli, Advanced search techniques for circuit partitioning, in: P. Pardalos, H. Wolkowicz (Eds.), Quadratic Assignment and Related Problems, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 16 (1994) pp. 77-99.
    • (1994) DIMACS Series in Discrete Mathematics and Theoretical Computer Science , vol.16 , pp. 77-99
    • Areibi, S.1    Vannelli, A.2
  • 2
    • 0022243711 scopus 로고
    • On lower bounds for a class of quadratic 0,1 programs
    • Assad, A.A. and Xu, W.On lower bounds for a class of quadratic 0,1 programs. Oper. Res. Lett.., (Vol. 4) (1985) 175-180.
    • (1985) Oper. Res. Lett. , vol.4 , pp. 175-180
    • Assad, A.A.1    Xu, W.2
  • 3
    • 0020764126 scopus 로고
    • A branch-and-bound-based heuristic for solving the quadratic assignment problem
    • Bazaraa, M.S. and Kirca, O.A branch-and-bound-based heuristic for solving the quadratic assignment problem. Nav. Res. Logist. Q.., (Vol. 30) (1), (1983) 287-304.
    • (1983) Nav. Res. Logist. Q. , vol.30 , Issue.1 , pp. 287-304
    • Bazaraa, M.S.1    Kirca, O.2
  • 4
    • 0020799666 scopus 로고
    • A heuristic for quadratic Boolean programs with applications to quadratic assignment problems
    • Burkard, R.E.A heuristic for quadratic Boolean programs with applications to quadratic assignment problems Eur. J. Oper. Res.., (Vol. 13) (1983) 374-386.
    • (1983) Eur. J. Oper. Res. , vol.13 , pp. 374-386
    • Burkard, R.E.1
  • 5
    • 0021388604 scopus 로고
    • Quadratic assignment problems
    • Burkard, R.E.Quadratic assignment problems. Eur. J. Oper. Res.., (Vol. 15) (3), (1984) 283-289.
    • (1984) Eur. J. Oper. Res. , vol.15 , Issue.3 , pp. 283-289
    • Burkard, R.E.1
  • 6
    • 0006511273 scopus 로고
    • Locations with spatial interactions: The quadratic assignment problem
    • P.B. Mirchandani, R.L. Francis (Eds.), John Wiley and Sons
    • R.E. Burkard, Locations with spatial interactions: The quadratic assignment problem, in: P.B. Mirchandani, R.L. Francis (Eds.), Discrete Location Theory, John Wiley and Sons, 1991, pp. 387-437.
    • (1991) Discrete Location Theory , pp. 387-437
    • Burkard, R.E.1
  • 7
    • 0026418381 scopus 로고
    • QAPLIB - A quadratic assignment problem library
    • Burkard, R.E., Karisch, S.E. and Rendl, F.QAPLIB - A quadratic assignment problem library. Eur. J. Oper. Res.., (Vol. 55) (99), (1991) 115-119.
    • (1991) Eur. J. Oper. Res. , vol.55 , Issue.99 , pp. 115-119
    • Burkard, R.E.1    Karisch, S.E.2    Rendl, F.3
  • 8
    • 0006574134 scopus 로고
    • A new lower bound for the quadratic assignment problem
    • Carraresi, P. and Malucelli, F.A new lower bound for the quadratic assignment problem. Oper. Res.., (Vol. 40) (1), (1992) S22-S27.
    • (1992) Oper. Res. , vol.40 , Issue.1
    • Carraresi, P.1    Malucelli, F.2
  • 9
    • 1842807512 scopus 로고
    • Solving large quadratic assignment problems in parallel
    • June 30, accepted for publication
    • J. Clausen, M. Perregaard, Solving large quadratic assignment problems in parallel, Comput. Optim. Appl., June 30, 1995, accepted for publication.
    • (1995) Comput. Optim. Appl.
    • Clausen, J.1    Perregaard, M.2
  • 10
    • 0017428620 scopus 로고
    • Hospital layout as a quadratic assignment problem
    • Elshafei, A.Hospital layout as a quadratic assignment problem. Oper. Res. Q.., (Vol. 28) (1), (1977) 167-179.
    • (1977) Oper. Res. Q. , vol.28 , Issue.1 , pp. 167-179
    • Elshafei, A.1
  • 11
    • 0019346338 scopus 로고
    • On the quadratic assignment problem
    • Frieze, A.M. and Yadegar, J.On the quadratic assignment problem. Discrete Appl. Math.., (Vol. 5) (1), (1983) 89-98.
    • (1983) Discrete Appl. Math. , vol.5 , Issue.1 , pp. 89-98
    • Frieze, A.M.1    Yadegar, J.2
  • 12
    • 0001703624 scopus 로고
    • Optimal and suboptimal algorithms for the quadratic assignment problem
    • Gilmore, P.C.Optimal and suboptimal algorithms for the quadratic assignment problem. J. Soc. Ind. Appl. Math.., (Vol. 10) (2), (1962) 305-313.
    • (1962) J. Soc. Ind. Appl. Math. , vol.10 , Issue.2 , pp. 305-313
    • Gilmore, P.C.1
  • 14
    • 0007302833 scopus 로고
    • Bounds for the quadratic assignment problem using continuous optimization techniques
    • University of Waterloo Press
    • S. Hadley, F. Rendl, H. Wolkowicz, Bounds for the quadratic assignment problem using continuous optimization techniques, in: Integer Programming and Combinatorial Optimization, University of Waterloo Press, 1990, pp. 237-248.
    • (1990) Integer Programming and Combinatorial Optimization , pp. 237-248
    • Hadley, S.1    Rendl, F.2    Wolkowicz, H.3
  • 16
    • 85033894830 scopus 로고    scopus 로고
    • Lower bounds for the quadratic assignment problem based upon a dual formulation
    • considered for publication
    • P.M. Hahn, T.L. Grant, Lower bounds for the quadratic assignment problem based upon a dual formulation, Oper. Res. Soc. Am., considered for publication.
    • Oper. Res. Soc. Am.
    • Hahn, P.M.1    Grant, T.L.2
  • 17
    • 0006574404 scopus 로고
    • Computer studies of a certain class of linear integer programs
    • A. Lavi, T.P. Vogl (Eds.), John Wiley and Sons
    • R.W. House, L.D. Nelson, T. Rado, Computer studies of a certain class of linear integer programs, in: A. Lavi, T.P. Vogl (Eds.), Recent Advances in Optimization Techniques, John Wiley and Sons, 1965.
    • (1965) Recent Advances in Optimization Techniques
    • House, R.W.1    Nelson, L.D.2    Rado, T.3
  • 18
    • 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., (Vol. 25) (1957) 53-76.
    • (1957) Econometrica , vol.25 , pp. 53-76
    • Koopmans, T.C.1    Beckmann, M.J.2
  • 19
    • 0000282077 scopus 로고
    • The quadratic assignment problem
    • Lawler, E.L.The quadratic assignment problem. Manag. Sci.., (Vol. 9) (1963) 586-599.
    • (1963) Manag. Sci. , vol.9 , pp. 586-599
    • Lawler, E.L.1
  • 21
    • 0002223982 scopus 로고
    • Algorithms for the assignment and transportation problems
    • Munkres, M.Algorithms for the assignment and transportation problems. J. Soc. Ind. Appl. Math.., (Vol. 5) (1), (1957) 32-38.
    • (1957) J. Soc. Ind. Appl. Math. , vol.5 , Issue.1 , pp. 32-38
    • Munkres, M.1
  • 22
    • 0000965291 scopus 로고
    • An experimental comparison of techniques for the assignment of facilities to locations
    • Nugent, C.E., Vollman, T.E. and Ruml, J.An experimental comparison of techniques for the assignment of facilities to locations. Oper. Res.., (Vol. 16) (1968) 150-173.
    • (1968) Oper. Res. , vol.16 , pp. 150-173
    • Nugent, C.E.1    Vollman, T.E.2    Ruml, J.3
  • 25
    • 0006568740 scopus 로고
    • A reduction method for the quadratic assignment problem
    • Roucairol, C.A reduction method for the quadratic assignment problem. Oper. Res. Verfahren-Methods Oper. Res. ., (Vol. 32) (1979) 185-187.
    • (1979) Oper. Res. Verfahren-Methods Oper. Res. , vol.32 , pp. 185-187
    • Roucairol, C.1
  • 26
    • 0022153168 scopus 로고
    • A parallel branch-and-bound algorithm for the quadratic assignment problem
    • Roucairol, C.A parallel branch-and-bound algorithm for the quadratic assignment problem. Discrete Appl. Math.., (Vol. 18) (2), (1987) 211-225.
    • (1987) Discrete Appl. Math. , vol.18 , Issue.2 , pp. 211-225
    • Roucairol, C.1
  • 27
    • 0016973706 scopus 로고
    • P-complete approximation problems
    • Sahni, S. and Teogilo, G.P-complete approximation problems. J. Assoc. Comput. Mach.., (Vol. 23) (3), (1976) 555-565.
    • (1976) J. Assoc. Comput. Mach. , vol.23 , Issue.3 , pp. 555-565
    • Sahni, S.1    Teogilo, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.