Sensitivity Analysis in Multiobjective Solid Transportation Problem

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  • Department of Mathematics, Modern College of Arts, Science and Commerce (Autonomous), Shivajinagar, Pune -411005 ,IN
  • Department of Mathematics, Faculty of Civil Engg., College of Military Engineering, Pune-411 031 ,IN



Multiobjective Solid Transportation Problem (MSTP), Fuzzy Programming Technique, Best Compromise Solution, Membership Function, Sensitivity Analysis, Ordinary Sensitivity Analysis, Tolerance Ranges, Symmetric Tolerance Ranges, Maximal Percentage Tolerance Limit.


In this paper, we have discussed ordinary sensitivity analysis and tolerance analysis for supply, demand and conveyance capacity values of MSTP. Our aim to develop a method to obtain the sensitivity analysis for supply, demand and conveyance capacity values of MSTP by applying tolerance approach. It allows the variations in more than one parameter simultaneously and independently without altering the current optimal basis. The method is illustrated by a numerical example.


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How to Cite

Paratane, P. M., & Bit, A. K. (2023). Sensitivity Analysis in Multiobjective Solid Transportation Problem. The Journal of the Indian Mathematical Society, 90(3-4), 343–356.



D. Anuradha and K. Kavitha, Heuristic Algorithm for Finding Sensitivity Analysis in Interval Solid Transportation Problems, International Journal of Innovative Research in Advanced Engineering, 1(6), (2014), 122–126.

H. Arsham, Postoptimality analyses of the transportation problem, Journal of the Operational Research Society, 43(2), (1992), 121–139.

H. Arsham and M. Oblak, Perturbation analysis of general LP models: a unified approach to sensitivity, parametric, tolerance, and more-for-less analysis, Mathematical and Computer Modeling, 13(8), (1990), 79–102.

N. M. Badra, Sensitivity analysis of transportation problems, Journal of Applied Sciences Research, 3(8), (2007), 668–675.

A. K. Bit, M. P. Biswal, and S. S. Alam, Fuzzy programming approach to multiobjective solid transportation problem, Fuzzy Sets and Systems, 57(2), (1993), 183–194.

P. Hansen, M. Labbe, and R. E. Wendell, Sensitivity analysis in multiple objective linear programming: The tolerance approach, European Journal of Operational Research, 38(1), (1989), 63–69.

M. Hladik, Additive and multiplicative tolerance in multiobjective linear programming, Operations Research Letters, 36(3),(2008), 393–396.

M. Hladik, Tolerance analysis in linear systems and linear programming, Optimization Methods and Software, 26(3), (2011), 381–396.

M. Hladk, and S. Sitarz, Maximal and supremal tolerances in multiobjective linear programming, European Journal of Operational Research, 228(1), (2013), 93–101.

T. Koltai, and T. Terlaky, The difference between the managerial and mathematical interpretation of sensitivity analysis results in linear programming, International Journal of Production Economics, 65(3), (2000), 257–274.

K. Kavitha, and P. Pandian, Sensitivity Analysis of Supply, Demand and Conveyance in a Solid Transportation Problem, Global Journal of Pure and Applied Mathematics, 11(4), (2015), 2039–2046.

P. M. Paratane, and A. K. Bit, Tolerance Approach to Sensitivity Analysis in Multiobjective Transportation Problem, The Journal of the Indian Mathematical Society, 87(3-4), (2020), 178–192.

S. Sitarz, Approaches to sensitivity analysis in MOLP, International Journal of Information Technology and Computer Science, 6(3), (2014), 54–60.

R. E. Wendell, Using bounds on the data in linear programming: The tolerance approach to sensitivity analysis, Mathematical Programming, 29(3), (1984), 304–322.

R. E. Wendell, The tolerance approach to sensitivity analysis in linear programming, Management Science, 31(5), (1985), 564–578.