IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v169y2006i1p53-64.html
   My bibliography  Save this article

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

Author

Listed:
  • Mukherjee, Saral
  • Chatterjee, A.K.

Abstract

No abstract is available for this item.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(04)00459-X
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Marshall L. Fisher, 1973. "Optimal Solution of Scheduling Problems Using Lagrange Multipliers: Part I," Operations Research, INFORMS, vol. 21(5), pages 1114-1127, October.
    2. 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.
    3. 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.
    4. 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.
    5. repec:bla:scandj:v:78:y:1976:i:4:p:542-60 is not listed on IDEAS
    6. 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.
    7. Larry Jenkins, 1982. "Parametric Mixed Integer Programming: An Application to Solid Waste Management," Management Science, INFORMS, vol. 28(11), pages 1270-1284, November.
    8. Koopmans, Tjalling C, 1977. "Concepts of Optimality and Their Uses," American Economic Review, American Economic Association, vol. 67(3), pages 261-274, June.
    9. 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.
    10. 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.
    11. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. O'Neill, Richard P. & Sotkiewicz, Paul M. & Hobbs, Benjamin F. & Rothkopf, Michael H. & Stewart, William R., 2005. "Efficient market-clearing prices in markets with nonconvexities," European Journal of Operational Research, Elsevier, vol. 164(1), pages 269-285, July.
    4. Ramteen Sioshansi and Ashlin Tignor, 2012. "Do Centrally Committed Electricity Markets Provide Useful Price Signals?," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4).
    5. Crema, Alejandro, 1998. "A procedure to verify the completeness of the right-hand-side parametric analysis for a mixed integer linear programming problem," European Journal of Operational Research, Elsevier, vol. 108(3), pages 684-695, August.
    6. Crema, Alejandro, 2002. "An algorithm to perform a complete parametric analysis relative to the constraint matrix for a 0-1-integer linear program," European Journal of Operational Research, Elsevier, vol. 138(3), pages 484-494, May.
    7. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 1999. "Existence and Welfare Properties of Equilibrium in an Exchange Economy with Multiple Divisible, Indivisible Commodities and Linear Production Technologies," Other publications TiSEM e7e05539-3fab-4998-818d-0, Tilburg University, School of Economics and Management.
    8. Satoru Fujishige & Zaifu Yang, 2002. "Existence of an Equilibrium in a General Competitive Exchange Economy with Indivisible Goods and Money," Annals of Economics and Finance, Society for AEF, vol. 3(1), pages 135-147, May.
    9. Yong Liang & Mengshi Lu & Zuo‐Jun Max Shen & Runyu Tang, 2021. "Data Center Network Design for Internet‐Related Services and Cloud Computing," Production and Operations Management, Production and Operations Management Society, vol. 30(7), pages 2077-2101, July.
    10. Tcha, Dong-wan & Myung, Young-soo & Chung, Ki-ho, 1995. "Parametric uncapacitated facility location," European Journal of Operational Research, Elsevier, vol. 86(3), pages 469-479, November.
    11. Onal, Hayri & Liao, Chao-Ning, 2002. "An Economic Analysis Of The Emission Reduction Market System In Chicago," 2002 Annual meeting, July 28-31, Long Beach, CA 19717, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    12. Koshevoy, G.A. & Talman, A.J.J., 2006. "Competitive Equilibria in Economies with Multiple Divisible and Indivisible Commodities and No Money," Other publications TiSEM 130306fe-6e3c-499c-b776-c, Tilburg University, School of Economics and Management.
    13. Crema, Alejandro, 2002. "The multiparametric 0-1-integer linear programming problem: A unified approach," European Journal of Operational Research, Elsevier, vol. 139(3), pages 511-520, June.
    14. Crema, Alejandro, 2000. "An algorithm for the multiparametric 0-1-integer linear programming problem relative to the objective function," European Journal of Operational Research, Elsevier, vol. 125(1), pages 18-24, August.
    15. Koshevoy, Gleb A. & Talman, Dolf, 2006. "Competitive equilibria in economies with multiple indivisible and multiple divisible commodities," Journal of Mathematical Economics, Elsevier, vol. 42(2), pages 216-226, April.
    16. Blazewicz, Jacek & Domschke, Wolfgang & Pesch, Erwin, 1996. "The job shop scheduling problem: Conventional and new solution techniques," European Journal of Operational Research, Elsevier, vol. 93(1), pages 1-33, August.
    17. Wang, Hsiao-Fan & Horng, Jyh-Shing, 1996. "Structural approach to parametric analysis of an IP on the case of the right-hand side," European Journal of Operational Research, Elsevier, vol. 92(1), pages 148-156, July.
    18. Mitsos, Alexander & Barton, Paul I., 2009. "Parametric mixed-integer 0-1 linear programming: The general case for a single parameter," European Journal of Operational Research, Elsevier, vol. 194(3), pages 663-686, May.
    19. 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.
    20. Lukas Hümbs & Alexander Martin & Lars Schewe, 2022. "Exploiting complete linear descriptions for decentralized power market problems with integralities," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 95(3), pages 451-474, June.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:169:y:2006:i:1:p:53-64. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.