Author(s)

H. O. Amuji^1*, N. P. Olewuezi¹, D. E. Onwuegbuchunam², C. Igboanusi³

¹Department of Statistics, Federal University of Technology, Owerri, Imo State, Nigeria.
²Department of Maritime Management Technology, Federal University of Technology, Owerri, Imo State, Nigeria.
³Department of Transport Management Technology, Federal University of Technology, Owerri, Imo State, Nigeria.

The range of optimal values in cost optimization models provides management with options for decision making. However, it can be quite challenging to achieve feasible range of optimality in Geometric programming (Gp) models having negative degrees of difficulty. In this paper, we conduct sensitivity analysis on the optimal solution of Geometric programming problem with negative degree of difficulty. Using imprest data, we determine the optimal objective function, dual decision variables, primal decision variables; the range of values, the cost coefficient and RHS constraint must lie for the solution to stay optimal. From the analysis, we established that incremental sensitivity analysis has the functional form .

Negative Degree of Difficulty, Sensitivity Analysis, Primal Decision Variables, Dual Decision Variables, Global Optimal Solution

Amuji, H. , Olewuezi, N. , Onwuegbuchunam, D. and Igboanusi, C. (2020) Sensitivity Analysis on the Negative Degree of Difficulty Geometric Programming Problem. American Journal of Operations Research, 10, 13-23. doi: 10.4236/ajor.2020.101002.