메뉴 건너뛰기




Volumn 8, Issue 1, 1996, Pages 27-58

Algorithmic Chernoff-Hoeffding inequalities in integer programming

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030304085     PISSN: 10429832     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2418(199601)8:1<27::AID-RSA2>3.0.CO;2-T     Document Type: Article
Times cited : (40)

References (32)
  • 2
    • 84990668575 scopus 로고
    • A parallel algorithmic version of the local lemma
    • N. Alon, A parallel algorithmic version of the Local Lemma, Random Struct. Alg. 2, 367-378 (1991).
    • (1991) Random Struct. Alg. , vol.2 , pp. 367-378
    • Alon, N.1
  • 3
    • 0018454769 scopus 로고
    • Fast probabilistic algorithms for Hamiltonian circuits and matchings
    • D. Angluin and L. G. Valiant, Fast probabilistic algorithms for Hamiltonian circuits and matchings, J. Comp. Sys. Sci., 18, 155-193 (1979).
    • (1979) J. Comp. Sys. Sci. , vol.18 , pp. 155-193
    • Angluin, D.1    Valiant, L.G.2
  • 4
    • 84972574511 scopus 로고
    • Weighted sums of certain dependent variables
    • K. Azuma, Weighted sums of certain dependent variables, Tohoku Math. J. 3, 357-367 (1967).
    • (1967) Tohoku Math. J. , vol.3 , pp. 357-367
    • Azuma, K.1
  • 5
    • 77950050458 scopus 로고
    • c n)-wise independence in NC
    • c n)-wise independence in NC, JACM, 38(4), 1026-1046 (1991).
    • (1991) JACM , vol.38 , Issue.4 , pp. 1026-1046
    • Berger, B.1    Rompel, J.2
  • 7
    • 0016939583 scopus 로고
    • Fast multiple-precision evaluation of elementary functions
    • R. P. Brent, Fast multiple-precision evaluation of elementary functions, JACM, 23, 242-251 (1976).
    • (1976) JACM , vol.23 , pp. 242-251
    • Brent, R.P.1
  • 8
    • 0000182415 scopus 로고
    • A measure of asymptotic efficiency for test of a hyothesis based on the sum of observation
    • H. Chernoff, A measure of asymptotic efficiency for test of a hyothesis based on the sum of observation, Ann. Math. Stat., 23, 493-509 (1952).
    • (1952) Ann. Math. Stat. , vol.23 , pp. 493-509
    • Chernoff, H.1
  • 9
    • 0000584511 scopus 로고
    • The tail of the hypergeometric distribution
    • V. Chvatal, The tail of the hypergeometric distribution, Discrete Math., 25, 285-287 (1979).
    • (1979) Discrete Math. , vol.25 , pp. 285-287
    • Chvatal, V.1
  • 10
    • 51249181640 scopus 로고
    • Bin packing can be solved in within 1 - ε in linear time
    • W. F. de la Vega and C. S. Luecker, Bin packing can be solved in within 1 - ε in linear time, Combinatorica, 1, 349-355 (1981).
    • (1981) Combinatorica , vol.1 , pp. 349-355
    • De La Vega, W.F.1    Luecker, C.S.2
  • 12
    • 0001590086 scopus 로고
    • Overflow, underflow, and severe loss of significance in floating point addition and subtraction
    • A. Feldstein and P. R. Turner, Overflow, underflow, and severe loss of significance in floating point addition and subtraction, IMA J. Numer. Anal., 6, 241-251 (1986).
    • (1986) IMA J. Numer. Anal. , vol.6 , pp. 241-251
    • Feldstein, A.1    Turner, P.R.2
  • 16
    • 0001069505 scopus 로고
    • On the distribution of the number of success in independent trials
    • W. Hoeffding, On the distribution of the number of success in independent trials, Ann. Math. Stat., 27, 713-721 (1956).
    • (1956) Ann. Math. Stat. , vol.27 , pp. 713-721
    • Hoeffding, W.1
  • 17
    • 0016561620 scopus 로고
    • Analysis of several job-scheduling algorithms for a model of multiprogramming computer systems
    • Erratum: JACM, 24, 527 (1977)
    • K. L. Krause, V. Y. Shen, and H. D. Schwetmann, Analysis of several job-scheduling algorithms for a model of multiprogramming computer systems, JACM, 22, 522-550 (1975) [Erratum: JACM, 24, 527 (1977)].
    • (1975) JACM , vol.22 , pp. 522-550
    • Krause, K.L.1    Shen, V.Y.2    Schwetmann, H.D.3
  • 18
    • 0000438412 scopus 로고
    • Approximating algorithms for scheduling unrelated parallel machines
    • J. K. Lenstra, D. B. Shmoys, and E. Tardos, Approximating algorithms for scheduling unrelated parallel machines, Math. Program., 46, 259-271 (1990).
    • (1990) Math. Program. , vol.46 , pp. 259-271
    • Lenstra, J.K.1    Shmoys, D.B.2    Tardos, E.3
  • 19
    • 0001035413 scopus 로고
    • On the method of bounded differnces
    • Surveys in Combinatorics, 1989. J. Siemons, Ed., Series 141, Cambridge University Press, Cambridge
    • C. McDiarmid, On the method of bounded differnces, in Surveys in Combinatorics, 1989. J. Siemons, Ed., London Math. Soc. Lecutures Notes, Series 141, Cambridge University Press, Cambridge, 1989.
    • (1989) London Math. Soc. Lecutures Notes
    • McDiarmid, C.1
  • 22
    • 0027641832 scopus 로고
    • Small bias probability spaces: Efficient constructions and applications
    • J. Naor and M. Naor, Small bias probability spaces: efficient constructions and applications, SIAM J. Comput., 22(4), 838-856 (1993).
    • (1993) SIAM J. Comput. , vol.22 , Issue.4 , pp. 838-856
    • Naor, J.1    Naor, M.2
  • 23
    • 51249173817 scopus 로고
    • Randomized rounding: A technique for provably good algorithms and algorithmic proofs
    • P. Raghavan and C. D. Thompson, Randomized rounding: a technique for provably good algorithms and algorithmic proofs, Combinatorica, 7(4), 365-374 (1987).
    • (1987) Combinatorica , vol.7 , Issue.4 , pp. 365-374
    • Raghavan, P.1    Thompson, C.D.2
  • 24
    • 0000435276 scopus 로고
    • Probabilistic construction of deterministic algorithms: Approximating packing integer programs
    • P. Raghavan, Probabilistic construction of deterministic algorithms: approximating packing integer programs, J. Comput. Sys. Sci., 37, 130-143 (1988).
    • (1988) J. Comput. Sys. Sci. , vol.37 , pp. 130-143
    • Raghavan, P.1
  • 25
    • 0001020389 scopus 로고
    • Machine aggregation heuristics in shop scheduling
    • H. Röck and G. Schmidt, Machine aggregation heuristics in shop scheduling, Math. Oper. Res., 45, 303-314 (1983).
    • (1983) Math. Oper. Res. , vol.45 , pp. 303-314
    • Röck, H.1    Schmidt, G.2
  • 28
    • 0011269022 scopus 로고
    • Weighted fractional and integral k-matchmg in hypergraphs
    • A. Srivastav and P. Stangier, Weighted fractional and integral k-matchmg in hypergraphs, Discrete Appl. Math. 57, 255-269 (1995).
    • (1995) Discrete Appl. Math. , vol.57 , pp. 255-269
    • Srivastav, A.1    Stangier, P.2
  • 29
    • 0012062823 scopus 로고
    • Integer multicommodity flows with reduced demands
    • Proc. First European Symposium on Algorithms (ESA '93), Bonn/Bad Honnef, Springer-Verlag, New York
    • A. Srivastav and P. Stangier, Integer multicommodity flows with, reduced demands, Proc. First European Symposium on Algorithms (ESA '93), Bonn/Bad Honnef, 1993, Lecture Notes in Computer Science, Vol. 726, Springer-Verlag, New York, pp. 360-372.
    • (1993) Lecture Notes in Computer Science , vol.726 , pp. 360-372
    • Srivastav, A.1    Stangier, P.2
  • 30
    • 0345923737 scopus 로고
    • Tight approximations of resource constrained scheduling problems
    • Proc. Second Annual European Symposium on Algorithms (ESA '94), Utrecht Springer-Verlag, New York
    • A. Srivastav and P. Stangier, Tight approximations of resource constrained scheduling problems, Proc. Second Annual European Symposium on Algorithms (ESA '94), Utrecht 1994, Lecture Notes in Computer Science, Vol. 855, Springer-Verlag, New York, pp. 307-318.
    • (1994) Lecture Notes in Computer Science , vol.855 , pp. 307-318
    • Srivastav, A.1    Stangier, P.2
  • 31
    • 0022672734 scopus 로고
    • A strongly polynomial algorithm to solve combinatorial linear programs
    • E. Tardos, A strongly polynomial algorithm to solve combinatorial linear programs, Oper. Res., 34, 250-256 (1986).
    • (1986) Oper. Res. , vol.34 , pp. 250-256
    • Tardos, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.