메뉴 건너뛰기




Volumn 176, Issue 1, 2010, Pages 77-93

Upper bounds for the 0-1 stochastic knapsack problem and a B&B algorithm

Author keywords

Arrow Hurwicz; B B algorithm; Chance constrained; Expectation constrained; Simple recourse; SOCP; Static stochastic knapsack problems with random weights; Stochastic gradient algorithm

Indexed keywords


EID: 77949424327     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: 10.1007/s10479-009-0577-5     Document Type: Article
Times cited : (44)

References (34)
  • 7
    • 84989730011 scopus 로고
    • An algorithm for maximizing target achievement in the stochastic knapsack problem with normal returns
    • Carraway, R. L., Schmidt, R. L., & Weatherford, L. R. (1993). An algorithm for maximizing target achievement in the stochastic knapsack problem with normal returns. Naval Research Logistics, 40(2), 161-173.
    • (1993) Naval Research Logistics , vol.40 , Issue.2 , pp. 161-173
    • Carraway, R.L.1    Schmidt, R.L.2    Weatherford, L.R.3
  • 13
    • 0025493443 scopus 로고
    • Risk criteria in a stochastic knapsack problem
    • Henig, M. I. (1990). Risk criteria in a stochastic knapsack problem. Operations Research, 38(5), 820-825.
    • (1990) Operations Research , vol.38 , Issue.5 , pp. 820-825
    • Henig, M.I.1
  • 15
    • 0001079593 scopus 로고
    • Stochastic estimation of the maximum of a regression function
    • Kieper, J., & Wolfowitz, J. (1952). Stochastic estimation of the maximum of a regression function. Annals of Mathematical Statistics, 23, 462-466.
    • (1952) Annals of Mathematical Statistics , vol.23 , pp. 462-466
    • Kieper, J.1    Wolfowitz, J.2
  • 16
    • 0030699603 scopus 로고    scopus 로고
    • Allocating bandwidth for bursty connections
    • Kleinberg, J., Rabani, Y., & Tardos, E. (1997). Allocating bandwidth for bursty connections. In STOC, pp. 664-673.
    • (1997) STOC , pp. 664-673
    • Kleinberg, J.1    Rabani, Y.2    Tardos, E.3
  • 17
    • 0035008943 scopus 로고    scopus 로고
    • The dynamic and stochastic knapsack problem with random sized weights
    • Kleywegt, A. J., & Papastavrou, J. D. (2001). The dynamic and stochastic knapsack problem with random sized weights. Operations Research, 49, 26-41.
    • (2001) Operations Research , vol.49 , pp. 26-41
    • Kleywegt, A.J.1    Papastavrou, J.D.2
  • 18
    • 0036013019 scopus 로고    scopus 로고
    • The sample average approximation method for stochastic discrete optimization
    • Kleywegt, A. J., Shapiro, A., & de Mello, T. H. (2001). The sample average approximation method for stochastic discrete optimization. SIAM Journal on Optimization, 12, 479-502.
    • (2001) SIAM Journal on Optimization , vol.12 , pp. 479-502
    • Kleywegt, A.J.1    Shapiro, A.2    de Mello, T.H.3
  • 20
    • 0004217585 scopus 로고
    • A branch and bound algorithm for the knapsack problem
    • Kolesar, P. J. (1967). A branch and bound algorithm for the knapsack problem. Management Science, 13(9), 723-735.
    • (1967) Management Science , vol.13 , Issue.9 , pp. 723-735
    • Kolesar, P.J.1
  • 22
    • 0032326765 scopus 로고    scopus 로고
    • Budget dependent convergence rate of stochastic approximation
    • L'Écuyer, P., & Yin, G. (1998). Budget dependent convergence rate of stochastic approximation. SIAM Journal on Optimization, 8, 217-247.
    • (1998) SIAM Journal on Optimization , vol.8 , pp. 217-247
    • L'Écuyer, P.1    Yin, G.2
  • 23
    • 61349143158 scopus 로고    scopus 로고
    • The stochastic knapsack revisited: Switch-over policies and dynamic pricing
    • Lin, G., Lu, Y., & Yao, D. (2008). The stochastic knapsack revisited: Switch-over policies and dynamic pricing. Operations Research, 56, 945-957.
    • (2008) Operations Research , vol.56 , pp. 945-957
    • Lin, G.1    Lu, Y.2    Yao, D.3
  • 24
    • 77949423309 scopus 로고    scopus 로고
    • Approximating the value functions of stochastic knapsack problems: A homogeneous Monge-Ampère equation and its stochastic counterparts
    • Lu, Y. (2008). Approximating the value functions of stochastic knapsack problems: a homogeneous Monge-Ampère equation and its stochastic counterparts. International Journal of Mathematics and Statistics, 3(8), 1-11.
    • (2008) International Journal of Mathematics and Statistics , vol.3 , Issue.8 , pp. 1-11
    • Lu, Y.1
  • 26
    • 0017492938 scopus 로고
    • An upper bound for the zero-one knapsack problem and a branch and bound algorithm
    • Martello, S., & Toth, P. (1977). An upper bound for the zero-one knapsack problem and a branch and bound algorithm. European Journal of Operational Research, 1(3), 169-175.
    • (1977) European Journal of Operational Research , vol.1 , Issue.3 , pp. 169-175
    • Martello, S.1    Toth, P.2
  • 27
    • 77949424376 scopus 로고    scopus 로고
    • Advances in computational and stochastic optimization, logic programming and heuristic search
    • Norwell: Kluwer Academic
    • Morton, D. P., & Wood, R. K. (1997). Advances in computational and stochastic optimization, logic programming and heuristic search. On a stochastic knapsack problem and generalizations (pp. 149-168). Norwell: Kluwer Academic.
    • (1997) On a Stochastic Knapsack Problem and Generalizations , pp. 149-168
    • Morton, D.P.1    Wood, R.K.2
  • 29
    • 84904774796 scopus 로고
    • New method of stochastic approximation type
    • Polyak, B. T. (1990). New method of stochastic approximation type. Automation and Remote Control, 51, 937-946.
    • (1990) Automation and Remote Control , vol.51 , pp. 937-946
    • Polyak, B.T.1
  • 33
    • 1942500445 scopus 로고    scopus 로고
    • Optimization under uncertainty: State-of-the-art and opportunities
    • Sahinidis, N. V. (2004). Optimization under uncertainty: state-of-the-art and opportunities. Computers and Chemical Engineering, 28, 971-983.
    • (2004) Computers and Chemical Engineering , vol.28 , pp. 971-983
    • Sahinidis, N.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.