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Sensitivity analysis with finite changes: An application to modified EOQ models

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  • Borgonovo, E.

Abstract

In this work, we introduce a new method for the sensitivity analysis of model output in the presence of finite changes in one or more of the exogenous variables. We define sensitivity measures that do not rest on differentiability. We relate the sensitivity measures to classical differential and comparative statics indicators. We prove a result that allows us to obtain the sensitivity measures at the same cost of one-variable-at-a-time methods, thus making their estimation feasible also for computationally intensive models. We discuss in detail the derivation of managerial insights formulating a procedure based on the concept of "Settings". The method is applied to the sensitivity analysis of a discrete change in optimal order quantity following a jump in the exogenous variables of a non-linear programming inventory model.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ejores:v:200:y:2010:i:1:p:127-138
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    1. Borgonovo, E., 2008. "Differential importance and comparative statics: An application to inventory management," International Journal of Production Economics, Elsevier, vol. 111(1), pages 170-179, January.
    2. Sana, Shib Sankar & Chaudhuri, K.S., 2008. "A deterministic EOQ model with delays in payments and price-discount offers," European Journal of Operational Research, Elsevier, vol. 184(2), pages 509-533, January.
    3. Goyal, Suresh Kumar & Teng, Jinn-Tsair & Chang, Chun-Tao, 2007. "Optimal ordering policies when the supplier provides a progressive interest scheme," European Journal of Operational Research, Elsevier, vol. 179(2), pages 404-413, June.
    4. Luciano, Elisa & Peccati, Lorenzo, 1999. "Capital structure and inventory management:: The temporary sale price problem," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 169-178, March.
    5. Stein W. Wallace, 2000. "Decision Making Under Uncertainty: Is Sensitivity Analysis of Any Use?," Operations Research, INFORMS, vol. 48(1), pages 20-25, February.
    6. Julia L. Higle & Stein W. Wallace, 2003. "Sensitivity Analysis and Uncertainty in Linear Programming," Interfaces, INFORMS, vol. 33(4), pages 53-60, August.
    7. John D. C. Little, 1970. "Models and Managers: The Concept of a Decision Calculus," Management Science, INFORMS, vol. 16(8), pages 466-485, April.
    8. Jansen, B. & de Jong, J. J. & Roos, C. & Terlaky, T., 1997. "Sensitivity analysis in linear programming: just be careful!," European Journal of Operational Research, Elsevier, vol. 101(1), pages 15-28, August.
    9. Harvey M. Wagner, 1995. "Global Sensitivity Analysis," Operations Research, INFORMS, vol. 43(6), pages 948-969, December.
    10. Gregory Dobson, 1988. "Sensitivity of the EOQ Model to Parameter Estimates," Operations Research, INFORMS, vol. 36(4), pages 570-574, August.
    11. Butler, John & Jia, Jianmin & Dyer, James, 1997. "Simulation techniques for the sensitivity analysis of multi-criteria decision models," European Journal of Operational Research, Elsevier, vol. 103(3), pages 531-546, December.
    12. Paul Glasserman & Sridhar Tayur, 1995. "Sensitivity Analysis for Base-Stock Levels in Multiechelon Production-Inventory Systems," Management Science, INFORMS, vol. 41(2), pages 263-281, February.
    13. Soni, Hardik & Shah, Nita H., 2008. "Optimal ordering policy for stock-dependent demand under progressive payment scheme," European Journal of Operational Research, Elsevier, vol. 184(1), pages 91-100, January.
    14. Ted G. Eschenbach, 1992. "Spiderplots versus Tornado Diagrams for Sensitivity Analysis," Interfaces, INFORMS, vol. 22(6), pages 40-46, December.
    15. Saltelli A. & Tarantola S., 2002. "On the Relative Importance of Input Factors in Mathematical Models: Safety Assessment for Nuclear Waste Disposal," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 702-709, September.
    16. Ben-Daya, M. & Noman, S.M., 2008. "Integrated inventory and inspection policies for stochastic demand," European Journal of Operational Research, Elsevier, vol. 185(1), pages 159-169, February.
    17. Caputo, Michael R. & Paris, Quirino, 2008. "Comparative statics of the generalized maximum entropy estimator of the general linear model," European Journal of Operational Research, Elsevier, vol. 185(1), pages 195-203, February.
    18. 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.
    19. Bogataj, Marija & Bogataj, Ludvik, 2004. "On the compact presentation of the lead times perturbations in distribution networks," International Journal of Production Economics, Elsevier, vol. 88(2), pages 145-155, March.
    20. Huang, Yung-Fu, 2007. "Economic order quantity under conditionally permissible delay in payments," European Journal of Operational Research, Elsevier, vol. 176(2), pages 911-924, January.
    21. Sobol’, I.M. & Tarantola, S. & Gatelli, D. & Kucherenko, S.S. & Mauntz, W., 2007. "Estimating the approximation error when fixing unessential factors in global sensitivity analysis," Reliability Engineering and System Safety, Elsevier, vol. 92(7), pages 957-960.
    22. Borgonovo, E. & Peccati, L., 2007. "Global sensitivity analysis in inventory management," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 302-313, July.
    23. Berman, Oded & Perry, David, 2006. "An EOQ model with state-dependent demand rate," European Journal of Operational Research, Elsevier, vol. 171(1), pages 255-272, May.
    24. Donald Erlenkotter, 1990. "Ford Whitman Harris and the Economic Order Quantity Model," Operations Research, INFORMS, vol. 38(6), pages 937-946, December.
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