IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v9y1962i1p33-49.html
   My bibliography  Save this article

Systems Evaluation and Repricing Theorems

Author

Listed:
  • A. Charnes

    (The Technological Institute, Northwestern University)

  • W. W. Cooper

    (Graduate School of Industrial Administration, Carnegie Institute of Technology)

Abstract

When a system is described in terms of a linear programming problem max c T x with Ax \leqq b, x \geqq 0, study of its properties, e.g., sensitivity analyses, etc., focuses on effects of alterations in the triple (A, b, c) on the properties of the system. These effects are non-linear and generally lead one away from a model with convenient special structure to much more complex systems. In this paper, methods ("repricing-reprocessing" theorems) are developed which (under certain assumptions about real world behavior) permit one to assess these effects exactly by means of a model of the same structure which can be prescribed in advance. The proofs of these theorems are accomplished by the "chained construction" methods of Charnes and Cooper. Approximation techniques and exact characterization of the non-linearities are also presented.

Suggested Citation

  • A. Charnes & W. W. Cooper, 1962. "Systems Evaluation and Repricing Theorems," Management Science, INFORMS, vol. 9(1), pages 33-49, October.
    • Handle: RePEc:inm:ormnsc:v:9:y:1962:i:1:p:33-49
    DOI: 10.1287/mnsc.9.1.33
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.9.1.33
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.9.1.33?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
    ---><---

    Citations

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


    Cited by:

    1. Demiröz, Barış Evrim & Altınel, İ. Kuban & Akarun, Lale, 2019. "Rectangle blanket problem: Binary integer linear programming formulation and solution algorithms," European Journal of Operational Research, Elsevier, vol. 277(1), pages 62-83.
    2. İ. Altınel & Bora Çekyay & Orhan Feyzioğlu & M. Keskin & Süleyman Özekici, 2011. "Mission-Based Component Testing for Series Systems," Annals of Operations Research, Springer, vol. 186(1), pages 1-22, June.
    3. Feyzioglu, Orhan & Kuban Altinel, I. & Ozekici, Suleyman, 2006. "The design of optimum component test plans for system reliability," Computational Statistics & Data Analysis, Elsevier, vol. 50(11), pages 3099-3112, July.
    4. Kuzʹmin, S. A., 1976. "Introduction to the structure and dynamics of systems; a technical note," ILO Working Papers 991691233402676, International Labour Organization.
    5. Kuban Altinel, I. & Ozekici, Suleyman, 1998. "Optimum component test plans for systems with dependent components," European Journal of Operational Research, Elsevier, vol. 111(1), pages 175-186, November.
    6. V. Balachandran & Suresh Jain, 1975. "Optimal Facility Location under Random Demand with General Cost Structure," Discussion Papers 149, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    7. Glover, Fred & Sueyoshi, Toshiyuki, 2009. "Contributions of Professor William W. Cooper in Operations Research and Management Science," European Journal of Operational Research, Elsevier, vol. 197(1), pages 1-16, August.

    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:inm:ormnsc:v:9:y:1962:i:1:p:33-49. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.