IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v65y2000i3p257-274.html
   My bibliography  Save this article

The difference between the managerial and mathematical interpretation of sensitivity analysis results in linear programming

Author

Listed:
  • Koltai, Tamas
  • Terlaky, Tamas

Abstract

No abstract is available for this item.

Suggested Citation

  • Koltai, Tamas & Terlaky, Tamas, 2000. "The difference between the managerial and mathematical interpretation of sensitivity analysis results in linear programming," International Journal of Production Economics, Elsevier, vol. 65(3), pages 257-274, May.
    • Handle: RePEc:eee:proeco:v:65:y:2000:i:3:p:257-274
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925-5273(99)00036-5
    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. Richard E. Wendell, 1985. "The Tolerance Approach to Sensitivity Analysis in Linear Programming," Management Science, INFORMS, vol. 31(5), pages 564-578, May.
    2. Farkas, Andras & Koltai, Tamas & Szendrovits, Andrew, 1993. "Linear programming optimization of a network for an aluminum plant: A case study," International Journal of Production Economics, Elsevier, vol. 32(2), pages 155-168, September.
    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. Borgonovo, E. & Peccati, L., 2011. "Finite change comparative statics for risk-coherent inventories," International Journal of Production Economics, Elsevier, vol. 131(1), pages 52-62, May.
    2. Hladík, Milan & Sitarz, Sebastian, 2013. "Maximal and supremal tolerances in multiobjective linear programming," European Journal of Operational Research, Elsevier, vol. 228(1), pages 93-101.
    3. Illes, Tibor & Terlaky, Tamas, 2002. "Pivot versus interior point methods: Pros and cons," European Journal of Operational Research, Elsevier, vol. 140(2), pages 170-190, July.
    4. Borgonovo, E. & Peccati, L., 2006. "The importance of assumptions in investment evaluation," International Journal of Production Economics, Elsevier, vol. 101(2), pages 298-311, June.
    5. Borgonovo, E., 2010. "Sensitivity analysis with finite changes: An application to modified EOQ models," European Journal of Operational Research, Elsevier, vol. 200(1), pages 127-138, January.
    6. Kavitha K. & Pandian ponnaiah, 2012. "Type II Sensitivity Analysis in Solid Assignment Problems," Modern Applied Science, Canadian Center of Science and Education, vol. 6(12), pages 1-22, December.
    7. Koltai, Tamás, 2009. "Robustness of a production schedule to inventory cost calculations," International Journal of Production Economics, Elsevier, vol. 121(2), pages 494-504, October.
    8. A. Ghaffari Hadigheh & K. Mirnia & T. Terlaky, 2007. "Active Constraint Set Invariancy Sensitivity Analysis in Linear Optimization," Journal of Optimization Theory and Applications, Springer, vol. 133(3), pages 303-315, June.
    9. Lin, Chi-Jen & Wen, Ue-Pyng, 2003. "Sensitivity analysis of the optimal assignment," European Journal of Operational Research, Elsevier, vol. 149(1), pages 35-46, August.
    10. Borgonovo, E. & Peccati, L., 2004. "Sensitivity analysis in investment project evaluation," International Journal of Production Economics, Elsevier, vol. 90(1), pages 17-25, July.
    11. Almoustafa, Samira & Hanafi, Said & Mladenović, Nenad, 2013. "New exact method for large asymmetric distance-constrained vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 226(3), pages 386-394.
    12. E. Borgonovo & L. Peccati, 2011. "Managerial insights from service industry models: a new scenario decomposition method," Annals of Operations Research, Springer, vol. 185(1), pages 161-179, May.
    13. Borgonovo, E. & Peccati, L., 2006. "Uncertainty and global sensitivity analysis in the evaluation of investment projects," International Journal of Production Economics, Elsevier, vol. 104(1), pages 62-73, November.
    14. Michael, Elad & Wood, Tony A. & Manzie, Chris & Shames, Iman, 2022. "Sensitivity analysis for bottleneck assignment problems," European Journal of Operational Research, Elsevier, vol. 303(1), pages 159-167.
    15. Hadigheh, Alireza Ghaffari & Terlaky, Tamas, 2006. "Sensitivity analysis in linear optimization: Invariant support set intervals," European Journal of Operational Research, Elsevier, vol. 169(3), pages 1158-1175, March.
    16. Koltai, Tamás & Tatay, Viola, 2011. "A practical approach to sensitivity analysis in linear programming under degeneracy for management decision making," International Journal of Production Economics, Elsevier, vol. 131(1), pages 392-398, May.
    17. Ma, Kang-Ting & Lin, Chi-Jen & Wen, Ue-Pyng, 2013. "Type II sensitivity analysis of cost coefficients in the degenerate transportation problem," European Journal of Operational Research, Elsevier, vol. 227(2), pages 293-300.
    18. Borgonovo, Emanuele & Buzzard, Gregery T. & Wendell, Richard E., 2018. "A global tolerance approach to sensitivity analysis in linear programming," European Journal of Operational Research, Elsevier, vol. 267(1), pages 321-337.

    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. Singh, Sanjeet & Gupta, Pankaj & Bhatia, Davinder, 2005. "Multiparametric sensitivity analysis in programming problem with linear-plus-linear fractional objective function," European Journal of Operational Research, Elsevier, vol. 160(1), pages 232-241, January.
    2. Masahiro Inuiguchi & Zhenzhong Gao & Carla Oliveira Henriques, 2023. "Robust optimality analysis of non-degenerate basic feasible solutions in linear programming problems with fuzzy objective coefficients," Fuzzy Optimization and Decision Making, Springer, vol. 22(1), pages 51-79, March.
    3. Hladík, Milan & Popova, Evgenija D., 2015. "Maximal inner boxes in parametric AE-solution sets with linear shape," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 606-619.
    4. L Neralić & R E Wendell, 2004. "Sensitivity in data envelopment analysis using an approximate inverse matrix," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(11), pages 1187-1193, November.
    5. Chakravarti, N. & Wagelmans, A.P.M., 1997. "Calculation of Stability Radii for Combinatorial Optimization Problems," Econometric Institute Research Papers EI 9740/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    6. Michael Best & Xili Zhang, 2012. "The Efficient Frontier for Weakly Correlated Assets," Computational Economics, Springer;Society for Computational Economics, vol. 40(4), pages 355-375, December.
    7. Richard E. Wendell, 2004. "Tolerance Sensitivity and Optimality Bounds in Linear Programming," Management Science, INFORMS, vol. 50(6), pages 797-803, June.
    8. Borgonovo, Emanuele & Plischke, Elmar, 2016. "Sensitivity analysis: A review of recent advances," European Journal of Operational Research, Elsevier, vol. 248(3), pages 869-887.
    9. Marmol, A. M. & Puerto, J., 1997. "Special cases of the tolerance approach in multiobjective linear programming," European Journal of Operational Research, Elsevier, vol. 98(3), pages 610-616, May.
    10. Pereira Borges, Ana Rosa & Henggeler Antunes, Carlos, 2002. "A visual interactive tolerance approach to sensitivity analysis in MOLP," European Journal of Operational Research, Elsevier, vol. 142(2), pages 357-381, October.
    11. Nilotpal Chakravarti & Albert P.M. Wagelmans, 1997. "Calculation of Stability Radii for Combinatorial Optimization Problems," Tinbergen Institute Discussion Papers 97-106/4, Tinbergen Institute.
    12. Hinojosa, M.A. & Mármol, A.M., 2011. "Axial solutions for multiple objective linear problems. An application to target setting in DEA models with preferences," Omega, Elsevier, vol. 39(2), pages 159-167, April.
    13. Luka Neralić & Richard E. Wendell, 2019. "Sensitivity in DEA: an algorithmic approach," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(4), pages 1245-1264, December.
    14. Henriques, C.O. & Inuiguchi, M. & Luque, M. & Figueira, J.R., 2020. "New conditions for testing necessarily/possibly efficiency of non-degenerate basic solutions based on the tolerance approach," European Journal of Operational Research, Elsevier, vol. 283(1), pages 341-355.
    15. Osman Ou{g}uz, 2000. "Bounds on the Opportunity Cost of Neglecting Reoptimization in Mathematical Programming," Management Science, INFORMS, vol. 46(7), pages 1009-1012, July.
    16. Koltai, T., 1995. "Fixed cost oriented bottleneck analysis with linear programming," Omega, Elsevier, vol. 23(1), pages 89-95, February.
    17. M. A. Hinojosa & A. M. Mármol, 2011. "Egalitarianism and Utilitarianism in Multiple Criteria Decision Problems with Partial Information," Group Decision and Negotiation, Springer, vol. 20(6), pages 707-724, November.
    18. Harvey J. Greenberg, 1999. "Matrix Sensitivity Analysis from an Interior Solution of a Linear Program," INFORMS Journal on Computing, INFORMS, vol. 11(3), pages 316-327, August.
    19. Neralić, Luka & Wendell, Richard E., 2019. "Enlarging the radius of stability and stability regions in Data Envelopment Analysis," European Journal of Operational Research, Elsevier, vol. 278(2), pages 430-441.
    20. Curry, Stewart & Lee, Ilbin & Ma, Simin & Serban, Nicoleta, 2022. "Global sensitivity analysis via a statistical tolerance approach," European Journal of Operational Research, Elsevier, vol. 296(1), pages 44-59.

    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:proeco:v:65:y:2000:i:3:p:257-274. 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/ijpe .

    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.