메뉴 건너뛰기




Volumn 51, Issue , 2014, Pages 237-250

An effective heuristic for multistage linear programming with a stochastic right-hand side

Author keywords

Conditional expectation; Constraint aggregation; Multistage stochastic programming; Revenue management; Scenario tree

Indexed keywords

DECISION TREES; LINEAR PROGRAMMING; STOCHASTIC PROGRAMMING; STOCHASTIC SYSTEMS;

EID: 84988411349     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cor.2014.06.010     Document Type: Article
Times cited : (6)

References (35)
  • 1
    • 0042941959 scopus 로고    scopus 로고
    • Revenue management in a dynamic network environment
    • D. Bertsimas, and I. Popescu Revenue management in a dynamic network environment Transp Sci 37 3 2003 257 277
    • (2003) Transp Sci , vol.37 , Issue.3 , pp. 257-277
    • Bertsimas, D.1    Popescu, I.2
  • 2
    • 0021855437 scopus 로고
    • Aggregation bounds in stochastic linear programming
    • J.R. Birge Aggregation bounds in stochastic linear programming Math Progr 31 1 1985 25 41
    • (1985) Math Progr , vol.31 , Issue.1 , pp. 25-41
    • Birge, J.R.1
  • 3
    • 0002545111 scopus 로고    scopus 로고
    • Stochastic programming computation and applications
    • J.R. Birge Stochastic programming computation and applications INFORMS J Comput 9 2 1997 111 133 (Pubitemid 127697768)
    • (1997) INFORMS Journal on Computing , vol.9 , Issue.2 , pp. 111-133
    • Birge, J.R.1
  • 5
    • 31144445025 scopus 로고    scopus 로고
    • The scenario generation algorithm for multistage stochastic linear programming
    • DOI 10.1287/moor.1050.0146
    • M.S. Casey, and S. Sen The scenario generation algorithm for multistage stochastic linear programming Math Oper Res 30 2005 615 631 (Pubitemid 43134193)
    • (2005) Mathematics of Operations Research , vol.30 , Issue.3 , pp. 615-631
    • Casey, M.S.1    Sen, S.2
  • 6
    • 79952762538 scopus 로고    scopus 로고
    • A warm-start approach for large-scale stochastic linear programs
    • M. Colombo, J. Gondzio, and A. Grothey A warm-start approach for large-scale stochastic linear programs Math Progr 127 2 2011 371 397
    • (2011) Math Progr , vol.127 , Issue.2 , pp. 371-397
    • Colombo, M.1    Gondzio, J.2    Grothey, A.3
  • 7
    • 0034562476 scopus 로고    scopus 로고
    • Primal-dual constraint aggregation with application to stochastic programming
    • DOI 10.1023/A:1019232731587
    • M. Davidson Primal-dual constraint aggregation with application to stochastic programming Ann Oper Res 99 2000 41 58 (Pubitemid 33287484)
    • (2000) Annals of Operations Research , vol.99 , Issue.1-4 , pp. 41-58
    • Davidson, M.1
  • 9
    • 0034559151 scopus 로고    scopus 로고
    • Scenarios for multistage stochastic programs
    • J. Dupacova, G. Consigli, and S.W. Wallace Scenarios for multistage stochastic programs Ann Oper Res 100 2000 25 53
    • (2000) Ann Oper Res , vol.100 , pp. 25-53
    • Dupacova, J.1    Consigli, G.2    Wallace, S.W.3
  • 11
    • 80052264445 scopus 로고    scopus 로고
    • An algorithmic framework for solving large-scale multistage stochastic mixed 0-1 problems with nonsymmetric scenario trees
    • L.F. Escudero, M.A. Garin, M. Merino, and G. Perez An algorithmic framework for solving large-scale multistage stochastic mixed 0-1 problems with nonsymmetric scenario trees Comput Oper Res 39 5 2012 1133 1144
    • (2012) Comput Oper Res , vol.39 , Issue.5 , pp. 1133-1144
    • Escudero, L.F.1    Garin, M.A.2    Merino, M.3    Perez, G.4
  • 12
    • 84878000152 scopus 로고    scopus 로고
    • Expected future value decomposition based bid price generation for large-scale network revenue management
    • L.F. Escudero, J.F. Monge, D. Romero-Morales, and J. Wang Expected future value decomposition based bid price generation for large-scale network revenue management Transp Sci 47 2013 181 197
    • (2013) Transp Sci , vol.47 , pp. 181-197
    • Escudero, L.F.1    Monge, J.F.2    Romero-Morales, D.3    Wang, J.4
  • 13
    • 0033472062 scopus 로고    scopus 로고
    • A parallel computation approach for solving multistage stochastic network problems
    • L.F. Escudero, J.L. de la Fuente, C. Garcia, and F.J. Prieto A parallel computation approach for solving multistage stochastic network problems Ann Oper Res 90 1999 131 160
    • (1999) Ann Oper Res , vol.90 , pp. 131-160
    • Escudero, L.F.1    De La Fuente, J.L.2    Garcia, C.3    Prieto, F.J.4
  • 14
    • 0034560693 scopus 로고    scopus 로고
    • Building and solving large-scale stochastic programs on an affordable distributed computing system
    • E. Fragniere, J. Gondzio, and J-Ph. Vial Building and solving large-scale stochastic programs on an affordable distributed computing system Ann Oper Res 99 2000 167 187
    • (2000) Ann Oper Res , vol.99 , pp. 167-187
    • Fragniere, E.1    Gondzio, J.2    Vial, J.-Ph.3
  • 15
    • 58249116102 scopus 로고    scopus 로고
    • Scenario tree modeling for multistage stochastic programs
    • H. Heitsch, and W. Romisch Scenario tree modeling for multistage stochastic programs Math Progr 118 2 2009 371 406
    • (2009) Math Progr , vol.118 , Issue.2 , pp. 371-406
    • Heitsch, H.1    Romisch, W.2
  • 16
    • 78651276390 scopus 로고    scopus 로고
    • IBM ILOG CPLEX Optimizer, www-01.ibm.com/software/commerce/optimization/ cplex-optimizer/.
    • IBM ILOG CPLEX Optimizer
  • 18
    • 79959915105 scopus 로고    scopus 로고
    • Revenue impacts of demand unconstraining and accounting for dependency
    • S. Karmarkar, D. Goutam, and B. Tathagata Revenue impacts of demand unconstraining and accounting for dependency J Revenue Pricing Manag 10 4 2011 367 381
    • (2011) J Revenue Pricing Manag , vol.10 , Issue.4 , pp. 367-381
    • Karmarkar, S.1    Goutam, D.2    Tathagata, B.3
  • 19
    • 38049135728 scopus 로고    scopus 로고
    • Decomposition of multistage stochastic programs with recombining scenario trees
    • Stochastic Programming E-Print Series (SPEPS)
    • Kuchler C, Vigerske S. Decomposition of multistage stochastic programs with recombining scenario trees. Technical report 9, Stochastic Programming E-Print Series (SPEPS); 2007.
    • (2007) Technical Report 9
    • Kuchler, C.1    Vigerske, S.2
  • 20
    • 38349190492 scopus 로고    scopus 로고
    • Aggregation and discretization in multistage stochastic programming
    • D. Kuhn Aggregation and discretization in multistage stochastic programming Math Progr 113 1 2008 61 94
    • (2008) Math Progr , vol.113 , Issue.1 , pp. 61-94
    • Kuhn, D.1
  • 21
    • 0037319402 scopus 로고    scopus 로고
    • Decomposition algorithms for stochastic programming on a computational grid
    • J. Linderoth, and S. Wright Decomposition algorithms for stochastic programming on a computational grid Comput Optim Appl 24 2 2003 207 250
    • (2003) Comput Optim Appl , vol.24 , Issue.2 , pp. 207-250
    • Linderoth, J.1    Wright, S.2
  • 22
    • 84949529252 scopus 로고    scopus 로고
    • Bounds in Multistage Linear Stochastic Programming
    • DOI: 10.1007/s10957-013-0450-1
    • F. Maggioni, E. Allevi, M. Bertocchi, Bounds in Multistage Linear Stochastic Programming, Journal of Optimization Theory and Applications, 163, 1, 2014, p: 200-229, DOI: 10.1007/s10957-013-0450-1.
    • (2014) Journal of Optimization Theory and Applications , vol.163 , Issue.1 , pp. 200-229
    • Maggioni, F.1    Allevi, E.2    Bertocchi, M.3
  • 23
    • 51049091727 scopus 로고    scopus 로고
    • A new approach to OD revenue management based on scenario trees
    • A. Moller, W. Romisch, and K. Weber A new approach to OD revenue management based on scenario trees J Revenue Pricing Manag 3 3 2004 265 276
    • (2004) J Revenue Pricing Manag , vol.3 , Issue.3 , pp. 265-276
    • Moller, A.1    Romisch, W.2    Weber, K.3
  • 24
    • 85108976174 scopus 로고
    • Robust optimization of large-scale systems
    • J.M. Mulvey, R.J. Vanderbei, and S.A. Zenios Robust optimization of large-scale systems Oper Res 43 2 1995 264 281
    • (1995) Oper Res , vol.43 , Issue.2 , pp. 264-281
    • Mulvey, J.M.1    Vanderbei, R.J.2    Zenios, S.A.3
  • 25
    • 45749127048 scopus 로고    scopus 로고
    • Epi-convergent discretizations of multistage stochastic programs via integration quadratures
    • T. Pennanen Epi-convergent discretizations of multistage stochastic programs via integration quadratures Math Progr, Ser B 116 2009 461 479
    • (2009) Math Progr, ser B , vol.116 , pp. 461-479
    • Pennanen, T.1
  • 26
    • 84855683033 scopus 로고    scopus 로고
    • Dynamic sampling algorithms for multi-stage stochastic programs with risk aversion
    • A.B. Philpott, and V.L. de Matos Dynamic sampling algorithms for multi-stage stochastic programs with risk aversion Eur J Oper Res 218 2 2012 470 483
    • (2012) Eur J Oper Res , vol.218 , Issue.2 , pp. 470-483
    • Philpott, A.B.1    De Matos, V.L.2
  • 29
    • 84897518598 scopus 로고    scopus 로고
    • Multistage stochastic decomposition: A bridge between stochastic programming and approximate dynamic programming
    • S. Sen, and Z. Zhou Multistage stochastic decomposition: a bridge between stochastic programming and approximate dynamic programming SIAM J Optim 24 1 2014 127 153
    • (2014) SIAM J Optim , vol.24 , Issue.1 , pp. 127-153
    • Sen, S.1    Zhou, Z.2
  • 30
    • 21044447935 scopus 로고    scopus 로고
    • Inference of statistical bounds for multistage stochastic programming problems
    • DOI 10.1007/s001860300280
    • A. Shapiro Inference of statistical bounds for multistage stochastic programming problems Math Methods Oper Res 58 1 2003 57 68 (Pubitemid 40871365)
    • (2003) Mathematical Methods of Operations Research , vol.58 , Issue.1 , pp. 57-68
    • Shapiro, A.1
  • 31
    • 28044447588 scopus 로고    scopus 로고
    • On complexity of multistage stochastic programs
    • DOI 10.1016/j.orl.2005.02.003, PII S0167637705000325
    • A. Shapiro On complexity of multistage stochastic programs Oper Res Lett 34 1 2006 1 8 (Pubitemid 41688309)
    • (2006) Operations Research Letters , vol.34 , Issue.1 , pp. 1-8
    • Shapiro, A.1
  • 33
    • 44349186707 scopus 로고    scopus 로고
    • Step decision rules for multistage stochastic programming a heuristic approach
    • J. Thenie, and J.-Ph. Vial Step decision rules for multistage stochastic programming a heuristic approach Automatica 44 6 2008 1569 1584
    • (2008) Automatica , vol.44 , Issue.6 , pp. 1569-1584
    • Thenie, J.1    Vial, J.-Ph.2
  • 34
    • 67349284803 scopus 로고    scopus 로고
    • A tighter variant of Jensen's lower bound for stochastic programs and separable approximations to recourse functions
    • H. Topaloglu A tighter variant of Jensen's lower bound for stochastic programs and separable approximations to recourse functions Eur J Oper Res 199 2 2009 315 322
    • (2009) Eur J Oper Res , vol.199 , Issue.2 , pp. 315-322
    • Topaloglu, H.1
  • 35
    • 0007724010 scopus 로고
    • Primal-dual aggregation and disaggregation for stochastic linear programs
    • S.E. Wright Primal-dual aggregation and disaggregation for stochastic linear programs Math Oper Res 19 4 1994 893 908
    • (1994) Math Oper Res , vol.19 , Issue.4 , pp. 893-908
    • Wright, S.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.