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Strategic Planning with Start-Time Dependent Variable Costs

Author

Listed:
  • James Luedtke

    (Department of Industrial and Systems Engineering, University of Wisconsin--Madison, Madison, Wisconsin 53706)

  • George L. Nemhauser

    (H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332)

Abstract

We present a strategic planning model in which the activities to be planned, such as production and distribution in a supply network, require technology to be installed before they can be performed. The technology improves over time, so that a decision maker has incentive to delay starting an activity to take advantage of better technology and lower operational costs. The model captures the fundamental trade-off between delaying the start time of an activity and the need for some activities to be performed now. Models of this type are used in the oil industry to plan the development of oil fields. This problem is naturally formulated as a mixed-integer program with a bilinear objective. We develop a series of progressively more compact mixed-integer linear formulations, along with classes of valid inequalities that make the formulations strong. We also present a specialized branch-and-cut algorithm to solve an extremely compact concave formulation. Computational results indicate that these formulations can be used to solve large-scale instances, whereas a straightforward linearization of the mixed-integer bilinear formulation fails to solve even small instances.

Suggested Citation

  • James Luedtke & George L. Nemhauser, 2009. "Strategic Planning with Start-Time Dependent Variable Costs," Operations Research, INFORMS, vol. 57(5), pages 1250-1261, October.
    • Handle: RePEc:inm:oropre:v:57:y:2009:i:5:p:1250-1261
    DOI: 10.1287/opre.1080.0649
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    References listed on IDEAS

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    1. Sampath Rajagopalan & Medini R. Singh & Thomas E. Morton, 1998. "Capacity Expansion and Replacement in Growing Markets with Uncertain Technological Breakthroughs," Management Science, INFORMS, vol. 44(1), pages 12-30, January.
    2. Alexander Shulman, 1991. "An Algorithm for Solving Dynamic Capacitated Plant Location Problems with Discrete Expansion Sizes," Operations Research, INFORMS, vol. 39(3), pages 423-436, June.
    3. Tony J. Van Roy & Donald Erlenkotter, 1982. "A Dual-Based Procedure for Dynamic Facility Location," Management Science, INFORMS, vol. 28(10), pages 1091-1105, October.
    4. Barany, I. & Edmonds , J. & Wolsey, L.A., 1986. "Packing and covering a tree by subtrees," LIDAM Reprints CORE 728, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Vernon Ning Hsu, 2002. "Dynamic Capacity Expansion Problem with Deferred Expansion and Age-Dependent Shortage Cost," Manufacturing & Service Operations Management, INFORMS, vol. 4(1), pages 44-54, June.
    6. S. Rajagopalan, 1998. "Capacity Expansion and Equipment Replacement: A Unified Approach," Operations Research, INFORMS, vol. 46(6), pages 846-857, December.
    7. VAN ROY, Tony J. & ERLENKOTTER, Donald, 1982. "A dual-based procedure for dynamic facility location," LIDAM Reprints CORE 490, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Shanling Li & Devanath Tirupati, 1994. "Dynamic Capacity Expansion Problem with Multiple Products: Technology Selection and Timing of Capacity Additions," Operations Research, INFORMS, vol. 42(5), pages 958-976, October.
    9. S. Rajagopalan & Andreas C. Soteriou, 1994. "Capacity Acquisition and Disposal with Discrete Facility Sizes," Management Science, INFORMS, vol. 40(7), pages 903-917, July.
    10. BARANY, Imre & VAN ROY, Tony J. & WOLSEY, Laurence A., 1984. "Strong formulations for multi-item capacitated lot sizing," LIDAM Reprints CORE 590, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Imre Barany & Tony J. Van Roy & Laurence A. Wolsey, 1984. "Strong Formulations for Multi-Item Capacitated Lot Sizing," Management Science, INFORMS, vol. 30(10), pages 1255-1261, October.
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