Fuzzy Approach; Stair-case linear programming Problem with cost coefficient

S. G. Bodkhe

doi:https://doi.org/10.14445/22315373/IJMTT-V65I11P518

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 11 | Year 2019 | Article Id. IJMTT-V65I11P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I11P518

Fuzzy Approach; Stair-case linear programming Problem with cost coefficient

S. G. Bodkhe

Citation :

S. G. Bodkhe, "Fuzzy Approach; Stair-case linear programming Problem with cost coefficient," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 11, pp. 174-179, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I11P518

Abstract

In this paper, Modelling planning problems that extend over many time periods as linear programs leads to a special structure called a "staircase" or "dynamic" linear program. The simplex method may be adapted to better solve linear programs that have a staged or staircase structure . We focus on the solution procedure of The linear Stair-case programming Problem is a special type of vector minimum problem in which cost coefficients of the objectives function has been expressed as interval values by decision makers and constraints are all equality type or less than equal to type or greater than equal to type, where the per unit cost matrix contains the elements along the main diagonal and a band below it only, This problem has been transformed into a classical linear programming problem where to minimize the interval objective function, Finally the equivalent transformed problem has been solved by fuzzy programming technique.

Keywords

Stair-case linear programming, fuzzy membership function

References

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