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Volumn 111, Issue 3, 2001, Pages 283-306

The QAP-polytope and the star transformation

Author keywords

90C09; 90C10; 90C27; Polyhedral combinatorics; QAP polytope; Quadratic assignment problem

Indexed keywords


EID: 0035427047     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(00)00272-9     Document Type: Article
Times cited : (13)

References (15)
  • 1
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    • Improved linear programming-based lower bounds for the quadratic assignment problem
    • in: P.M. Pardalos, H. Wolkowicz (Eds.), Quadratic Assignment and Related Problems
    • W.P. Adams, T.A. Johnson, Improved linear programming-based lower bounds for the quadratic assignment problem, in: P.M. Pardalos, H. Wolkowicz (Eds.), Quadratic Assignment and Related Problems, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 1994, pp. 43-75.
    • (1994) DIMACS Series in Discrete Mathematics and Theoretical Computer Science , pp. 43-75
    • Adams, W.P.1    Johnson, T.A.2
  • 2
    • 0016116546 scopus 로고
    • On the assignment polytope
    • Balinski M.L., Russakoff A. On the assignment polytope. SIAM Rev. 16:1974;516-525.
    • (1974) SIAM Rev. , vol.16 , pp. 516-525
    • Balinski, M.L.1    Russakoff, A.2
  • 4
    • 0007468927 scopus 로고
    • Combinatorial complexity of orbits in representations of the symmetric group
    • Barvinok A.I. Combinatorial complexity of orbits in representations of the symmetric group. Adv. Soviet Math. 9:1992;161-182.
    • (1992) Adv. Soviet Math. , vol.9 , pp. 161-182
    • Barvinok, A.I.1
  • 5
    • 0002085026 scopus 로고
    • The cut polytope and the boolean quadric polytope
    • De Simone C. The cut polytope and the boolean quadric polytope. Discrete Math. 79:1989;71-75.
    • (1989) Discrete Math. , vol.79 , pp. 71-75
    • De Simone, C.1
  • 6
    • 0347064619 scopus 로고
    • Lower bounds based on linear programming for the quadratic assignment problem
    • Drezner Z. Lower bounds based on linear programming for the quadratic assignment problem. Comput. Optim. Appl. 4(2):1995;159-165.
    • (1995) Comput. Optim. Appl. , vol.4 , Issue.2 , pp. 159-165
    • Drezner, Z.1
  • 7
    • 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 J. Appl. Math. 10:1962;305-313.
    • (1962) SIAM J. Appl. Math. , vol.10 , pp. 305-313
    • Gilmore, P.C.1
  • 9
    • 0007512828 scopus 로고    scopus 로고
    • A basic study of the QAP-Polytope
    • Angewandte Mathematik und Informatik, Universität zu Köln
    • M. Jünger, V. Kaibel, A basic study of the QAP-Polytope, Technical Report 96.215, Angewandte Mathematik und Informatik, Universität zu Köln, 1996.
    • (1996) Technical Report 96.215
    • Jünger, M.1    Kaibel, V.2
  • 10
    • 0002384937 scopus 로고
    • Assignment problems and the location of economic activities
    • Koopmans T.C., Beckmann M.J. Assignment problems and the location of economic activities. Econometrica. 25:1957;53-76.
    • (1957) Econometrica , vol.25 , pp. 53-76
    • Koopmans, T.C.1    Beckmann, M.J.2
  • 11
    • 0000282077 scopus 로고
    • The quadratic assignment problem
    • Lawler E.L. The quadratic assignment problem. Management Sci. 9:1963;586-599.
    • (1963) Management Sci. , vol.9 , pp. 586-599
    • Lawler, E.L.1
  • 12
    • 0024718137 scopus 로고
    • The boolean quadric polytope: Some characteristics and facets
    • Padberg M. The boolean quadric polytope: some characteristics and facets. Math. Programming. 45-1:1989;139-172.
    • (1989) Math. Programming , vol.451 , pp. 139-172
    • Padberg, M.1
  • 14
    • 0000138587 scopus 로고
    • Computing lower bounds for the quadratic assignment problem with an interior point solver for linear programming
    • Resende M.G.C., Ramakrishnan K.G., Drezner Z. Computing lower bounds for the quadratic assignment problem with an interior point solver for linear programming. Oper. Res. 43:1995;781-791.
    • (1995) Oper. Res. , vol.43 , pp. 781-791
    • Resende, M.G.C.1    Ramakrishnan, K.G.2    Drezner, Z.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.