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The average shadow price for MILPs with integral resource availability and its relationship to the marginal unit shadow price

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  • Mukherjee, Saral
  • Chatterjee, A.K.

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  • Mukherjee, Saral & Chatterjee, A.K., 2006. "The average shadow price for MILPs with integral resource availability and its relationship to the marginal unit shadow price," European Journal of Operational Research, Elsevier, vol. 169(1), pages 53-64, February.
    • Handle: RePEc:eee:ejores:v:169:y:2006:i:1:p:53-64
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    References listed on IDEAS

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    1. Koopmans, Tjalling C, 1977. "Concepts of Optimality and Their Uses," American Economic Review, American Economic Association, vol. 67(3), pages 261-274, June.
    2. Herbert Scarf, 1994. "The Allocation of Resources in the Presence of Indivisibilities," Journal of Economic Perspectives, American Economic Association, vol. 8(4), pages 111-128, Fall.
    3. Marshall L. Fisher, 1973. "Optimal Solution of Scheduling Problems Using Lagrange Multipliers: Part I," Operations Research, INFORMS, vol. 21(5), pages 1114-1127, October.
    4. A. M. Geoffrion & R. Nauss, 1977. "Exceptional Paper--Parametric and Postoptimality Analysis in Integer Linear Programming," Management Science, INFORMS, vol. 23(5), pages 453-466, January.
    5. Crema, Alejandro, 1995. "Average shadow price in a mixed integer linear programming problem," European Journal of Operational Research, Elsevier, vol. 85(3), pages 625-635, September.
    6. Crema, Alejandro, 1999. "An algorithm to perform a complete right-hand-side parametrical analysis for a 0-1-integer linear programming problem," European Journal of Operational Research, Elsevier, vol. 114(3), pages 569-579, May.
    7. repec:bla:scandj:v:78:y:1976:i:4:p:542-60 is not listed on IDEAS
    8. Bikhchandani, Sushil & Mamer, John W., 1997. "Competitive Equilibrium in an Exchange Economy with Indivisibilities," Journal of Economic Theory, Elsevier, vol. 74(2), pages 385-413, June.
    9. Carlier, Jacques, 1987. "Scheduling jobs with release dates and tails on identical machines to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 29(3), pages 298-306, June.
    10. Kim, Sehun & Cho, Seong-cheol, 1988. "A shadow price in integer programming for management decision," European Journal of Operational Research, Elsevier, vol. 37(3), pages 328-335, December.
    11. Larry Jenkins, 1982. "Parametric Mixed Integer Programming: An Application to Solid Waste Management," Management Science, INFORMS, vol. 28(11), pages 1270-1284, November.
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    Cited by:

    1. Liao, Chao-ning & Önal, Hayri & Chen, Ming-Hsiang, 2009. "Average shadow price and equilibrium price: A case study of tradable pollution permit markets," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1207-1213, August.
    2. Correll, David & Suzuki, Yoshinori & Martens, Bobby, 2014. "Biorenewable fuels at the intersection of product and process flexibility: A novel modeling approach and application," International Journal of Production Economics, Elsevier, vol. 150(C), pages 1-8.
    3. Chatterjee A K & Mukherjee, Saral, 2006. "Unified Concept of Bottleneck," IIMA Working Papers WP2006-05-01, Indian Institute of Management Ahmedabad, Research and Publication Department.

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