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Volumn 12, Issue 1, 1998, Pages 51-62

Exponentially small bounds on the expected optimum of the partition and subset sum problems

Author keywords

Combinatorial optimization; Partition problem; Probabilistic analysis; Subset sum problem

Indexed keywords


EID: 0032330947     PISSN: 10429832     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2418(199801)12:1<51::AID-RSA3>3.0.CO;2-S     Document Type: Article
Times cited : (49)

References (11)
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    • 84947403595 scopus 로고
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    • Hoeffding, W.1
  • 5
    • 0003037529 scopus 로고
    • Reducibility among combinatorial problems
    • Raymond E. Miller and James W. Thatcher, Eds. Plenum Press, New York
    • Richard M. Karp, Reducibility among combinatorial problems, in Complexity of Computer Computations, Raymond E. Miller and James W. Thatcher, Eds. Plenum Press, New York, 1972, pp. 85-103.
    • (1972) Complexity of Computer Computations , pp. 85-103
    • Karp, R.M.1
  • 6
    • 0003590131 scopus 로고
    • Technical Report UCB/CSD 82/113, Computer Science Division (EECS), University of California, Berkeley, December
    • Narendra Karmarkar and Richard M. Karp, The differencing method of set partitioning, Technical Report UCB/CSD 82/113, Computer Science Division (EECS), University of California, Berkeley, December 1982.
    • (1982) The Differencing Method of Set Partitioning
    • Karmarkar, N.1    Karp, R.M.2
  • 7
    • 0022772130 scopus 로고
    • Probabilistic analysis of optimum partitioning
    • Narendra Karmarkar, Richard M. Karp, George S. Lueker, and Andrew M. Odlyzko, Probabilistic analysis of optimum partitioning, J. App. Probab., 23(3), 626-645 (1986).
    • (1986) J. App. Probab. , vol.23 , Issue.3 , pp. 626-645
    • Karmarkar, N.1    Karp, R.M.2    Lueker, G.S.3    Odlyzko, A.M.4
  • 8
    • 0012779077 scopus 로고
    • On the average difference between the solutions to linear and integer knapsack problems
    • Ralph L. Disney and Teunis J. Ott, Eds., Birkhäuser, Boston
    • G. S. Lueker, On the average difference between the solutions to linear and integer knapsack problems, in Applied Probability - Computer Science, The Interface, Ralph L. Disney and Teunis J. Ott, Eds., Vol. I, Birkhäuser, Boston, 1982, pp. 489-504.
    • (1982) Applied Probability - Computer Science, the Interface , vol.1 , pp. 489-504
    • Lueker, G.S.1
  • 9
    • 0017995344 scopus 로고
    • Interpolation search - A log log n search
    • Yehoshua Perl, Alon Itai, and Haim Avni, Interpolation search - a log log n search, Commun. ACM, 21(7), 550-553 (1978).
    • (1978) Commun. ACM , vol.21 , Issue.7 , pp. 550-553
    • Perl, Y.1    Itai, A.2    Avni, H.3
  • 10
    • 0026820770 scopus 로고
    • Asymptotic analysis of an algorithm for balanced parallel processor scheduling
    • Li-Hui Tsai, Asymptotic analysis of an algorithm for balanced parallel processor scheduling, SlAM J. Comput., 21(1), 59-64 (1992).
    • (1992) SlAM J. Comput. , vol.21 , Issue.1 , pp. 59-64
    • Tsai, L.-H.1
  • 11
    • 0030082880 scopus 로고    scopus 로고
    • The differencing algorithm LDM for partitioning: A proof of Karp's conjecture
    • Benjamin Yakir, The differencing algorithm LDM for partitioning: A proof of Karp's conjecture, Math. Oper. Res. 21(1), 85-99 (1996).
    • (1996) Math. Oper. Res. , vol.21 , Issue.1 , pp. 85-99
    • Yakir, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.