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Volumn 30, Issue 3, 2007, Pages 1490-1507

A discrete optimization approach to large scale supply networks based on partial differential equations

Author keywords

Conservation laws; Networks; Optimization; Supply chains

Indexed keywords

OPTIMAL CONTROL SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 55549121597     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/060663799     Document Type: Article
Times cited : (28)

References (27)
  • 1
    • 0029182941 scopus 로고
    • Presolving in linear programming
    • E. D. ANDERSEN AND K. D. ANDERSEN, Presolving in linear programming, Math. Programming, 71 (1995), pp. 221-245.
    • (1995) Math. Programming , vol.71 , pp. 221-245
    • ANDERSEN, E.D.1    ANDERSEN, K.D.2
  • 2
    • 33645163099 scopus 로고    scopus 로고
    • A model for the dynamics of large queuing networks and supply chains
    • D. ARMBRUSTER, P. DEGOND, AND C. RINGHOFER, A model for the dynamics of large queuing networks and supply chains, SIAM J. Appl. Math., 66 (2006), pp. 896-920.
    • (2006) SIAM J. Appl. Math , vol.66 , pp. 896-920
    • ARMBRUSTER, D.1    DEGOND, P.2    RINGHOFER, C.3
  • 3
    • 55549092583 scopus 로고    scopus 로고
    • D. ARMBRUSTER, P. DEGOND, AND C. RINGHOFER, Kinetic and fluid models for supply chains supporting policy attributes, Bull. Inst. Math. Acad. Sin. (N.S.), 2 (2007), pp. 433-460.
    • D. ARMBRUSTER, P. DEGOND, AND C. RINGHOFER, Kinetic and fluid models for supply chains supporting policy attributes, Bull. Inst. Math. Acad. Sin. (N.S.), 2 (2007), pp. 433-460.
  • 5
    • 33645153463 scopus 로고    scopus 로고
    • Autonomous control of production networks using a pheromone approach
    • D. ARMBRUSTER, C. DE BEER, M. FREITAG, T. JAGALSKI, AND C. RINGHOFER, Autonomous control of production networks using a pheromone approach, Phys. A, 363 (2006), pp. 104-114.
    • (2006) Phys. A , vol.363 , pp. 104-114
    • ARMBRUSTER, D.1    DE BEER, C.2    FREITAG, M.3    JAGALSKI, T.4    RINGHOFER, C.5
  • 8
    • 0141944732 scopus 로고    scopus 로고
    • Springer-Verlag, New York, Berlin, Heidelberg
    • C. F. DAGANZO, A Theory of Supply Chains, Springer-Verlag, New York, Berlin, Heidelberg, 2003.
    • (2003) A Theory of Supply Chains
    • DAGANZO, C.F.1
  • 9
    • 53449093660 scopus 로고    scopus 로고
    • A. FÜGENSCHUH AND A. MARTIN, Computational integer programming and cutting planes, in Handbook on Discrete Optimization, K. Aardal, G. Nemhauser, and R. Weismantel, eds., Handbooks Oper. Res. Management Sci. 12, Elsevier, Amsterdam, 2005, pp. 69-122.
    • A. FÜGENSCHUH AND A. MARTIN, Computational integer programming and cutting planes, in Handbook on Discrete Optimization, K. Aardal, G. Nemhauser, and R. Weismantel, eds., Handbooks Oper. Res. Management Sci. 12, Elsevier, Amsterdam, 2005, pp. 69-122.
  • 10
    • 33750897181 scopus 로고    scopus 로고
    • Combinatorial and continuous models for the optimization of traffic flows on networks
    • A. FÜGENSCHUH, M. HERTY, A. KLAR, AND A. MARTIN, Combinatorial and continuous models for the optimization of traffic flows on networks, SIAM J. Optim., 16 (2006), pp. 1155-1176.
    • (2006) SIAM J. Optim , vol.16 , pp. 1155-1176
    • FÜGENSCHUH, A.1    HERTY, M.2    KLAR, A.3    MARTIN, A.4
  • 11
    • 0004119489 scopus 로고
    • An Algorithm for the Mixed Integer Problem
    • Tech Report RM-2597, The Rand Corporation, Santa Monica, CA
    • R. E. GOMORY, An Algorithm for the Mixed Integer Problem, Tech Report RM-2597, The Rand Corporation, Santa Monica, CA, 1960.
    • (1960)
    • GOMORY, R.E.1
  • 12
  • 13
    • 39449131434 scopus 로고    scopus 로고
    • Modelling and optimization of supply chains on complex networks
    • S. GÖTTLICH, M. HERTY, AND A. KLAR, Modelling and optimization of supply chains on complex networks, Commun. Math. Sci., 4 (2006), pp. 315-330.
    • (2006) Commun. Math. Sci , vol.4 , pp. 315-330
    • GÖTTLICH, S.1    HERTY, M.2    KLAR, A.3
  • 14
    • 0000660003 scopus 로고    scopus 로고
    • Lifted cover inequalities for 0-1 integer programs
    • Z. GU, G. L. NEMHAUSER, AND M. W. P. SAVELSBERGH, Lifted cover inequalities for 0-1 integer programs, INFORMS J. Comput., 10 (1998), pp. 427-437.
    • (1998) INFORMS J. Comput , vol.10 , pp. 427-437
    • GU, Z.1    NEMHAUSER, G.L.2    SAVELSBERGH, M.W.P.3
  • 15
    • 39449089147 scopus 로고    scopus 로고
    • Existence of solutions for supply chain models based on partial differential equations
    • M. HERTY, A. KLAR, AND B. PICCOLI, Existence of solutions for supply chain models based on partial differential equations, SIAM J. Math. Anal., 39 (2007), pp. 160-173.
    • (2007) SIAM J. Math. Anal , vol.39 , pp. 160-173
    • HERTY, M.1    KLAR, A.2    PICCOLI, B.3
  • 16
    • 0026125207 scopus 로고
    • Improving representations of zero-one linear programs for branch-and-cut
    • K. HOFFMAN AND M. PADBERG, Improving representations of zero-one linear programs for branch-and-cut, ORSA J. Comput., 3 (1991), pp. 121-134.
    • (1991) ORSA J. Comput , vol.3 , pp. 121-134
    • HOFFMAN, K.1    PADBERG, M.2
  • 17
    • 56749180489 scopus 로고    scopus 로고
    • ILOG CPLEX Division, NV; information available at
    • ILOG CPLEX Division, Incline Village, NV; information available at http://www.cplex.com.
    • Incline Village
  • 19
    • 55549148230 scopus 로고    scopus 로고
    • Rapid Mathematical Programming, Ph.D. thesis, Technische Universitat Berlin, available online from
    • T. KOCH, Rapid Mathematical Programming, Ph.D. thesis, Technische Universitat Berlin, 2004; available online from http://edocs.tu- berlin.de/diss/2004/koch-thorsten.pdf.
    • (2004)
    • KOCH, T.1
  • 21
    • 0042328182 scopus 로고    scopus 로고
    • On disjunctive cuts for combinatorial optimization
    • A. N. LETCHFORD, On disjunctive cuts for combinatorial optimization, J. Comb. Optim., 5 (2001), pp. 299-315.
    • (2001) J. Comb. Optim , vol.5 , pp. 299-315
    • LETCHFORD, A.N.1
  • 22
    • 0035328755 scopus 로고    scopus 로고
    • Aggregation and mixed integer rounding to solve MIPs
    • H. MARCHAND AND L. A. WOLSEY, Aggregation and mixed integer rounding to solve MIPs, Oper. Res., 49 (2001), pp. 363-371.
    • (2001) Oper. Res , vol.49 , pp. 363-371
    • MARCHAND, H.1    WOLSEY, L.A.2
  • 24
    • 0022099739 scopus 로고
    • Valid linear inequalities for fixed charged problems
    • M. W. PADBERG, T. J. VAN ROY, AND L. A. WOLSEY, Valid linear inequalities for fixed charged problems, Oper. Res., 33 (1985), pp. 842-861.
    • (1985) Oper. Res , vol.33 , pp. 842-861
    • PADBERG, M.W.1    VAN ROY, T.J.2    WOLSEY, L.A.3
  • 25
    • 0000278641 scopus 로고
    • Preprocessing and probing for mixed integer programming problems
    • M. W. P. SAVELSBERGH, Preprocessing and probing for mixed integer programming problems, ORSA J. Comput., 6 (1994), pp. 445-454.
    • (1994) ORSA J. Comput , vol.6 , pp. 445-454
    • SAVELSBERGH, M.W.P.1
  • 27
    • 0034155505 scopus 로고    scopus 로고
    • Incorporating fuel constraints and electricity spot prices into the stochastic unit commitment problem
    • S. TAKRITT, B. KRASENBRINK, AND L. S. Y. WU, Incorporating fuel constraints and electricity spot prices into the stochastic unit commitment problem, Oper. Res., 48 (2000), pp. 268-280.
    • (2000) Oper. Res , vol.48 , pp. 268-280
    • TAKRITT, S.1    KRASENBRINK, B.2    WU, L.S.Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.