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

International Journal of Mathematics Trends and Technology (IJMTT)
© 2019 by IJMTT Journal
Volume-65 Issue-11
Year of Publication : 2019
Authors : S. G. Bodkhe


MLA Style:S. G. Bodkhe "Fuzzy Approach; Stair-case linear programming Problem with cost coefficient" International Journal of Mathematics Trends and Technology 65.11 (2019):174-179.

APA Style: S. G. Bodkhe (2019). Fuzzy Approach; Stair-case linear programming Problem with cost coefficient” International Journal of Mathematics Trends and Technology,174-179.

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.

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Stair-case linear programming, fuzzy membership function