메뉴 건너뛰기




Volumn 15, Issue 2, 1999, Pages 113-144

Constructive bounds and exact expectations for the random assignment problem

Author keywords

Bipartite matching; Statistical physics; Weighted matching

Indexed keywords


EID: 0033424378     PISSN: 10429832     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2418(199909)15:2<113::AID-RSA1>3.0.CO;2-S     Document Type: Article
Times cited : (59)

References (23)
  • 1
    • 21144467237 scopus 로고
    • Asymptotics in the random assignment problem
    • D. Aldous, Asymptotics in the random assignment problem, Pr Th Related Fields 93 (1992), 507-534.
    • (1992) Pr Th Related Fields , vol.93 , pp. 507-534
    • Aldous, D.1
  • 3
    • 0039662928 scopus 로고    scopus 로고
    • Tech. Report RC21354 (96188), IBM Research Report, Yorktown Heights, NY, December
    • D. Coppersmith and G.B. Sorkin, On the expected incremental cost of a minimum assignment, Tech. Report RC21354 (96188), IBM Research Report, Yorktown Heights, NY, December 1998, accessible at http://domino.watson.ibm.com/library/CyberDig. nsf/home.
    • (1998) On the Expected Incremental Cost of a Minimum Assignment
    • Coppersmith, D.1    Sorkin, G.B.2
  • 6
    • 0039070940 scopus 로고
    • Algorithm and average-value bounds for assignment problems
    • W.E. Donath, Algorithm and average-value bounds for assignment problems, IBM J Res Dev 13 (1969), 380-386.
    • (1969) IBM J Res Dev , vol.13 , pp. 380-386
    • Donath, W.E.1
  • 7
    • 0040254759 scopus 로고
    • A combinatorial algorithm
    • T.E. Easterfield, A combinatorial algorithm, J Lond Math Soc 21 (1946), 219-226.
    • (1946) J Lond Math Soc , vol.21 , pp. 219-226
    • Easterfield, T.E.1
  • 8
    • 0040254756 scopus 로고
    • A lower bound on the expected cost of an optimal assignment
    • M.X. Goemans and M.S. Kodialam, A lower bound on the expected cost of an optimal assignment, Math Oper Res 18 (1993), 267-274.
    • (1993) Math Oper Res , vol.18 , pp. 267-274
    • Goemans, M.X.1    Kodialam, M.S.2
  • 10
    • 0012833041 scopus 로고
    • An upper bound on the expected cost of an optimal assignment, discrete algorithms and complexity: Proceedings of the Japan-US joint seminar
    • D.S. Johnson et al. (Editors), Academic Press
    • R.M. Karp, An upper bound on the expected cost of an optimal assignment, Discrete algorithms and complexity: proceedings of the Japan-US Joint seminar, D.S. Johnson et al. (Editors), Perspectives in Computing, Vol. 15, Academic Press, 1987, pp. 1-4.
    • (1987) Perspectives in Computing , vol.15 , pp. 1-4
    • Karp, R.M.1
  • 11
    • 0001487162 scopus 로고
    • Average case analysis of a heuristic for the assignment problem
    • R.M. Karp, A.H.G. Rinnooy Kan, and R.V. Vohra, Average case analysis of a heuristic for the assignment problem, Math Oper Res 19 (1994), 513-522.
    • (1994) Math Oper Res , vol.19 , pp. 513-522
    • Karp, R.M.1    Rinnooy Kan, A.H.G.2    Vohra, R.V.3
  • 12
    • 0039662926 scopus 로고
    • On approximation methods for the assignment problem
    • J.M. Kurtzberg, On approximation methods for the assignment problem, J Assoc Comput Mach 9 (1962), 419-439.
    • (1962) J Assoc Comput Mach , vol.9 , pp. 419-439
    • Kurtzberg, J.M.1
  • 14
    • 0012771214 scopus 로고
    • Certain expected values in the random assignment problem
    • A.J. Lazarus, Certain expected values in the random assignment problem, Oper Res Lett 14 (1993), 207-214.
    • (1993) Oper Res Lett , vol.14 , pp. 207-214
    • Lazarus, A.J.1
  • 15
    • 0001035413 scopus 로고
    • On the method of bounded differences
    • Cambridge University Press
    • C. McDiarmid, On the method of bounded differences, Lond Math Soc Lecture Note Ser, vol. 141, Cambridge University Press, 1989, pp. 148-188.
    • (1989) Lond Math Soc Lecture Note Ser , vol.141 , pp. 148-188
    • McDiarmid, C.1
  • 16
    • 0347058873 scopus 로고
    • Replicas and optimization
    • M. Mézard and G. Parisi, Replicas and optimization, J Phys Lett 46 (1985), 771-778.
    • (1985) J Phys Lett , vol.46 , pp. 771-778
    • Mézard, M.1    Parisi, G.2
  • 17
    • 0001354244 scopus 로고
    • On the solution of the random link matching problems
    • M. Mézard and G. Parisi, On the solution of the random link matching problems, J Phys Lett 48 (1987), 1451-1459.
    • (1987) J Phys Lett , vol.48 , pp. 1451-1459
    • Mézard, M.1    Parisi, G.2
  • 20
    • 0027696450 scopus 로고
    • On the expected optimal value of random assignment problems: Experimental results and open questions
    • P.M. Pardalos and K.G. Ramakrishnan, On the expected optimal value of random assignment problems: experimental results and open questions, Comput Optimiz Appl 2 (1993), 261-271.
    • (1993) Comput Optimiz Appl , vol.2 , pp. 261-271
    • Pardalos, P.M.1    Ramakrishnan, K.G.2
  • 22
    • 0003292470 scopus 로고    scopus 로고
    • Probability theory and combinatorial optimization
    • Society for Industrial and Applied Mathematics, Philadelphia
    • J.M. Steele, Probability theory and combinatorial optimization, CBMS-NSF Regional Conference Series in Applied Mathematics, no. 69, Society for Industrial and Applied Mathematics, Philadelphia, 1997.
    • (1997) CBMS-NSF Regional Conference Series in Applied Mathematics , vol.69
    • Steele, J.M.1
  • 23
    • 0012523229 scopus 로고
    • On the expected value of a random assignment problem
    • D.W. Walkup, On the expected value of a random assignment problem, SIAM J Comput 8 (1979), 440-442.
    • (1979) SIAM J Comput , vol.8 , pp. 440-442
    • Walkup, D.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.