The Tolerance Approach to Sensitivity Analysis in Linear Programming

Citations

Cited by:

1. 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.
2. 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.
3. Filippi, Carlo, 2005. "A fresh view on the tolerance approach to sensitivity analysis in linear programming," European Journal of Operational Research, Elsevier, vol. 167(1), pages 1-19, November.
4. W. Cooper & Dr. Park & Professor Ciurana, 2000. "Marginal Rates and Elasticities of Substitution with Additive Models in DEA," Journal of Productivity Analysis, Springer, vol. 13(2), pages 105-123, March.
5. 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.
6. 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.
7. 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.
8. Nilotpal Chakravarti & Albert P.M. Wagelmans, 1997. "Calculation of Stability Radii for Combinatorial Optimization Problems," Tinbergen Institute Discussion Papers 97-106/4, Tinbergen Institute.
9. 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.
10. 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.
11. 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.
12. Xiao, Baichun, 1995. "The linear complementarity problem with a parametric input," European Journal of Operational Research, Elsevier, vol. 81(2), pages 420-429, March.
13. Richard E. Wendell, 2004. "Tolerance Sensitivity and Optimality Bounds in Linear Programming," Management Science, INFORMS, vol. 50(6), pages 797-803, June.
14. Patrick Brockett & William Cooper & Honghui Deng & Linda Golden & T. Ruefli, 2004. "Using DEA to Identify and Manage Congestion," Journal of Productivity Analysis, Springer, vol. 22(3), pages 207-226, November.
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. 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.
17. 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.
18. 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.
19. Borgonovo, Emanuele & Plischke, Elmar, 2016. "Sensitivity analysis: A review of recent advances," European Journal of Operational Research, Elsevier, vol. 248(3), pages 869-887.
20. Mirko Ginocchi & Ferdinanda Ponci & Antonello Monti, 2021. "Sensitivity Analysis and Power Systems: Can We Bridge the Gap? A Review and a Guide to Getting Started," Energies, MDPI, vol. 14(24), pages 1-59, December.
21. 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.
22. 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.
23. 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.
24. 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.
25. 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.
26. 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.