IDEAS home Printed from https://ideas.repec.org/a/spr/mathme/v62y2005i2p225-242.html
   My bibliography  Save this article

On multiple simple recourse models

Author

Listed:
  • Maarten Vlerk

Abstract

We consider multiple simple recourse (MSR) models, both continuous and integer versions, which generalize the corresponding simple recourse (SR) models by allowing for a refined penalty cost structure for individual shortages and surpluses. It will be shown that (convex approximations of) such MSR models can be represented as explicitly specified continuous SR models, and thus can be solved efficiently by existing algorithms. Copyright Springer-Verlag Berlin Heidelberg 2005

Suggested Citation

  • Maarten Vlerk, 2005. "On multiple simple recourse models," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 62(2), pages 225-242, November.
  • Handle: RePEc:spr:mathme:v:62:y:2005:i:2:p:225-242
    DOI: 10.1007/s00186-005-0021-9
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00186-005-0021-9
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s00186-005-0021-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. KLEIN HANEVELD, W. K. & STOUGIE, L. & van der VLERK, M. H., 1996. "An algorithm for the construction of convex hulls in simple integer recourse programming," LIDAM Reprints CORE 1215, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Dupacova, Jitka & Gaivoronski, Alexei & Kos, Zdenek & Szantai, Tamas, 1991. "Stochastic programming in water management: A case study and a comparison of solution techniques," European Journal of Operational Research, Elsevier, vol. 52(1), pages 28-44, May.
    Full references (including those not matched with items on IDEAS)

    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. Vlerk, Maarten H. van der, 2002. "On multiple simple recourse models," Research Report 02A06, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    2. X. Qin & G. Huang, 2009. "An Inexact Chance-constrained Quadratic Programming Model for Stream Water Quality Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(4), pages 661-695, March.
    3. repec:dgr:rugsom:02a06 is not listed on IDEAS
    4. Li, Y.P. & Huang, G.H. & Zhang, N. & Nie, S.L., 2011. "An inexact-stochastic with recourse model for developing regional economic-ecological sustainability under uncertainty," Ecological Modelling, Elsevier, vol. 222(2), pages 370-379.
    5. Gaivoronski, Alexei & Sechi, Giovanni M. & Zuddas, Paola, 2012. "Cost/risk balanced management of scarce resources using stochastic programming," European Journal of Operational Research, Elsevier, vol. 216(1), pages 214-224.
    6. Meskarian, Rudabeh & Xu, Huifu & Fliege, Jörg, 2012. "Numerical methods for stochastic programs with second order dominance constraints with applications to portfolio optimization," European Journal of Operational Research, Elsevier, vol. 216(2), pages 376-385.
    7. Li, Y.P. & Huang, G.H. & Nie, S.L. & Chen, X., 2011. "A robust modeling approach for regional water management under multiple uncertainties," Agricultural Water Management, Elsevier, vol. 98(10), pages 1577-1588, August.
    8. Huang, G. H., 1998. "A hybrid inexact-stochastic water management model," European Journal of Operational Research, Elsevier, vol. 107(1), pages 137-158, May.
    9. Sun, Wei & Huang, Guo H. & Lv, Ying & Li, Gongchen, 2013. "Inexact joint-probabilistic chance-constrained programming with left-hand-side randomness: An application to solid waste management," European Journal of Operational Research, Elsevier, vol. 228(1), pages 217-225.
    10. Giovanni M. Sechi & Alexei A. Gaivoronski & Jacopo Napolitano, 2019. "Optimising Pumping Activation in Multi-Reservoir Water Supply Systems under Uncertainty with Stochastic Quasi-Gradient Methods," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(5), pages 1881-1895, March.
    11. Martin Branda & Jitka Dupačová, 2012. "Approximation and contamination bounds for probabilistic programs," Annals of Operations Research, Springer, vol. 193(1), pages 3-19, March.
    12. Vlerk, Maarten H. van der, 2003. "Simplification of recourse models by modification of recourse data," Research Report 03A01, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    13. Klein Haneveld, Willem K. & Stougie, Leen & Vlerk, Maarten H. van der, 2004. "Simple Integer Recourse Models: Convexity and Convex Approximations," Research Report 04A21, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    14. Albareda-Sambola, Maria & Vlerk, Maarten H. van der & Fernandez, Elena, 2002. "Exact solutions to a class of stochastic generalized assignment problems," Research Report 02A11, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    15. repec:dgr:rugsom:02a11 is not listed on IDEAS
    16. Vlerk, Maarten H. van der, 2004. "Convex approximations for a class of mixed-integer recourse models," Research Report 04A28, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    17. Y. Li & G. Huang & S. Nie, 2009. "Water Resources Management and Planning under Uncertainty: an Inexact Multistage Joint-Probabilistic Programming Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(12), pages 2515-2538, September.
    18. Maarten Vlerk, 2010. "Convex approximations for a class of mixed-integer recourse models," Annals of Operations Research, Springer, vol. 177(1), pages 139-150, June.
    19. Pagnoncelli, Bernardo K. & Vanduffel, Steven, 2012. "A provisioning problem with stochastic payments," European Journal of Operational Research, Elsevier, vol. 221(2), pages 445-453.
    20. Rezapour, Shabnam & Srinivasan, Ramakrishnan & Tew, Jeffrey & Allen, Janet K. & Mistree, Farrokh, 2018. "Correlation between strategic and operational risk mitigation strategies in supply networks," International Journal of Production Economics, Elsevier, vol. 201(C), pages 225-248.
    21. David P. Morton & Ward Romeijnders & Rüdiger Schultz & Leen Stougie, 2018. "The stochastic programming heritage of Maarten van der Vlerk," Computational Management Science, Springer, vol. 15(3), pages 319-323, October.
    22. B. K. Pagnoncelli & S. Ahmed & A. Shapiro, 2009. "Sample Average Approximation Method for Chance Constrained Programming: Theory and Applications," Journal of Optimization Theory and Applications, Springer, vol. 142(2), pages 399-416, August.

    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:spr:mathme:v:62:y:2005:i:2:p:225-242. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.