메뉴 건너뛰기




Volumn 36, Issue 9, 2009, Pages 2590-2600

A general algorithm for solving two-stage stochastic mixed 0-1 first-stage problems

Author keywords

Benders decomposition; Branch and fix coordination; Nonanticipativity constraints; Splitting variables; Twin node family; Two stage stochastic integer programming

Indexed keywords

DYNAMIC PROGRAMMING; RANDOM PROCESSES;

EID: 60649099540     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cor.2008.11.011     Document Type: Article
Times cited : (26)

References (25)
  • 1
    • 0005010428 scopus 로고
    • Programming under uncertainty: the equivalent convex program
    • Wets R.J.-B. Programming under uncertainty: the equivalent convex program. SIAM Journal on Applied Mathematics 14 (1966) 89-105
    • (1966) SIAM Journal on Applied Mathematics , vol.14 , pp. 89-105
    • Wets, R.J.-B.1
  • 2
    • 0036563024 scopus 로고    scopus 로고
    • An integer L-shaped algorithm for the capacitated vehicle routing problem with stochastic demands
    • Laporte G., and Louveaux F. An integer L-shaped algorithm for the capacitated vehicle routing problem with stochastic demands. Operations Research 50 (2002) 415-423
    • (2002) Operations Research , vol.50 , pp. 415-423
    • Laporte, G.1    Louveaux, F.2
  • 3
    • 9644308639 scopus 로고
    • Partitioning procedures for solving mixed variables programming problems
    • Benders J. Partitioning procedures for solving mixed variables programming problems. Numerische Mathematik 4 (1962) 238-252
    • (1962) Numerische Mathematik , vol.4 , pp. 238-252
    • Benders, J.1
  • 4
    • 0043237882 scopus 로고    scopus 로고
    • BFC, a branch-and-fix coordination algorithmic framework for solving some types of stochastic pure and mixed 0-1 programs
    • Alonso-Ayuso A., Escudero L.F., and Ortuño M.T. BFC, a branch-and-fix coordination algorithmic framework for solving some types of stochastic pure and mixed 0-1 programs. European Journal of Operational Research 151 (2003) 503-519
    • (2003) European Journal of Operational Research , vol.151 , pp. 503-519
    • Alonso-Ayuso, A.1    Escudero, L.F.2    Ortuño, M.T.3
  • 7
    • 21144438339 scopus 로고    scopus 로고
    • A multi-stage stochastic integer programming approach for capacity expansion under uncertainty
    • Ahmed S., Tawarmalani M., and Sahinidis N.V. A multi-stage stochastic integer programming approach for capacity expansion under uncertainty. Mathematical Programming 100 (2004) 355-377
    • (2004) Mathematical Programming , vol.100 , pp. 355-377
    • Ahmed, S.1    Tawarmalani, M.2    Sahinidis, N.V.3
  • 8
    • 0008230792 scopus 로고    scopus 로고
    • L-shaped decomposition of two-stage stochastic programs with integer recourse
    • Carøe C., and Tind J. L-shaped decomposition of two-stage stochastic programs with integer recourse. Mathematical Programming 83 (1998) 451-464
    • (1998) Mathematical Programming , vol.83 , pp. 451-464
    • Carøe, C.1    Tind, J.2
  • 9
    • 31244436444 scopus 로고    scopus 로고
    • A modification of Benders' decomposition algorithm for discrete subproblems: an approach for stochastic programs with integer recourse
    • Sherali H.D., and Fraticelli B.M.P. A modification of Benders' decomposition algorithm for discrete subproblems: an approach for stochastic programs with integer recourse. Journal of Global Optimization 22 (2002) 319-342
    • (2002) Journal of Global Optimization , vol.22 , pp. 319-342
    • Sherali, H.D.1    Fraticelli, B.M.P.2
  • 10
    • 24044484404 scopus 로고    scopus 로고
    • 2 algorithm for large scale stochastic mixed-integer programming: set convexification
    • 2 algorithm for large scale stochastic mixed-integer programming: set convexification. Mathematical Programming 104 (2005) 1-20
    • (2005) Mathematical Programming , vol.104 , pp. 1-20
    • Sen, S.S.1    Higle, J.L.2
  • 11
    • 25444471863 scopus 로고    scopus 로고
    • The million variable 'march' for stochastic combinatorial optimization
    • Ntaimo L., and Sen S. The million variable 'march' for stochastic combinatorial optimization. Journal of Global Optimization 32 (2005) 385-400
    • (2005) Journal of Global Optimization , vol.32 , pp. 385-400
    • Ntaimo, L.1    Sen, S.2
  • 12
    • 31744441041 scopus 로고    scopus 로고
    • Decomposition with branch-and-cut approaches for two-stage stochastic mixed-integer programming
    • Sen S., and Sherali H. Decomposition with branch-and-cut approaches for two-stage stochastic mixed-integer programming. Mathematical Programming Series A 105 (2006) 203-223
    • (2006) Mathematical Programming Series A , vol.105 , pp. 203-223
    • Sen, S.1    Sherali, H.2
  • 13
    • 33745684007 scopus 로고    scopus 로고
    • On solving discrete two-stage stochastic programs having mixed-integer first- and second-stage variables
    • Sherali H., and Zhu X. On solving discrete two-stage stochastic programs having mixed-integer first- and second-stage variables. Mathematical Programming Series B 108 (2006) 597-611
    • (2006) Mathematical Programming Series B , vol.108 , pp. 597-611
    • Sherali, H.1    Zhu, X.2
  • 14
    • 0032674969 scopus 로고    scopus 로고
    • Dual decomposition in stochastic integer programming
    • Carøe C., and Schultz R. Dual decomposition in stochastic integer programming. Operations Research Letters 24 (1999) 37-45
    • (1999) Operations Research Letters , vol.24 , pp. 37-45
    • Carøe, C.1    Schultz, R.2
  • 15
    • 0041500785 scopus 로고    scopus 로고
    • Decomposition methods for two-stage stochastic integer programs
    • Grotschel M., Krumke S.O., and Rambau J. (Eds), Springer, Berlin
    • Hemmecke R., and Schultz R. Decomposition methods for two-stage stochastic integer programs. In: Grotschel M., Krumke S.O., and Rambau J. (Eds). Online optimization of large scale systems (2001), Springer, Berlin 601-622
    • (2001) Online optimization of large scale systems , pp. 601-622
    • Hemmecke, R.1    Schultz, R.2
  • 16
    • 0033703331 scopus 로고    scopus 로고
    • Lagrangean solution techniques and bounds for loosely coupled mixed-integer stochastic programs
    • Takriti S., and Birge J. Lagrangean solution techniques and bounds for loosely coupled mixed-integer stochastic programs. Operations Research 48 (2000) 91-98
    • (2000) Operations Research , vol.48 , pp. 91-98
    • Takriti, S.1    Birge, J.2
  • 17
    • 0000514655 scopus 로고
    • Scenario and policy aggregation in optimisation under uncertainty
    • Rockafellar R.T., and Wets R.J.-B. Scenario and policy aggregation in optimisation under uncertainty. Mathematics of Operations Research 16 (1991) 119-147
    • (1991) Mathematics of Operations Research , vol.16 , pp. 119-147
    • Rockafellar, R.T.1    Wets, R.J.-B.2
  • 19
    • 60649105577 scopus 로고    scopus 로고
    • Nowak M, Schultz R, Westphalen W. Optimization of simultaneous power production and trading by stochastic integer programming. Technical report, Stochastic programming e-print series 〈http://dochost.rz.hu-berlin.de/speps〉, 2002.
    • Nowak M, Schultz R, Westphalen W. Optimization of simultaneous power production and trading by stochastic integer programming. Technical report, Stochastic programming e-print series 〈http://dochost.rz.hu-berlin.de/speps〉, 2002.
  • 20
    • 0041500849 scopus 로고    scopus 로고
    • Multi-stage stochastic integer programs: an introduction
    • Grotschel M., Krumke S.O., and Rambau J. (Eds), Springer, Berlin
    • Romisch W., and Schultz R. Multi-stage stochastic integer programs: an introduction. In: Grotschel M., Krumke S.O., and Rambau J. (Eds). Online optimization of large scale systems (2001), Springer, Berlin 581-600
    • (2001) Online optimization of large scale systems , pp. 581-600
    • Romisch, W.1    Schultz, R.2
  • 21
    • 12344324433 scopus 로고    scopus 로고
    • Stochastic programming with integer variables
    • Schultz R. Stochastic programming with integer variables. Mathematical Programming Series B 97 (2003) 285-309
    • (2003) Mathematical Programming Series B , vol.97 , pp. 285-309
    • Schultz, R.1
  • 22
    • 67650135407 scopus 로고    scopus 로고
    • A multistage stochastic integer programming model and algorithm for incorporating logical constraints in assets and liabilities under uncertainty
    • in press, doi:10.2007/s10287-006-0035-7
    • Escudero LF, Garín MA, Merino M, Pérez G. A multistage stochastic integer programming model and algorithm for incorporating logical constraints in assets and liabilities under uncertainty. Computational Management Science, 2007, in press, doi:10.2007/s10287-006-0035-7.
    • (2007) Computational Management Science
    • Escudero, L.F.1    Garín, M.A.2    Merino, M.3    Pérez, G.4
  • 24
    • 0014534894 scopus 로고
    • L-shaped linear programs with application to optimal control and stochastic programming
    • Van Slyke R., and Wets R.J.-B. L-shaped linear programs with application to optimal control and stochastic programming. SIAM Journal on Applied Mathematics 17 (1969) 638-663
    • (1969) SIAM Journal on Applied Mathematics , vol.17 , pp. 638-663
    • Van Slyke, R.1    Wets, R.J.-B.2
  • 25
    • 28244496090 scopus 로고    scopus 로고
    • Benchmarking optimization software with performance profiles
    • Dolan E.D., and Moré J.J. Benchmarking optimization software with performance profiles. Mathematical Programming Series A 91 (2002) 201-213
    • (2002) Mathematical Programming Series A , vol.91 , pp. 201-213
    • Dolan, E.D.1    Moré, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.