Optimization of fuzzy inventory model for EOQ using Lagrangian method

Abstract

This paper discusses the existence of defective items in a manufacturing process. A rework strategy is implemented to rectify the defective items. A rework cost function under fuzzy environment which includes both synchronous and asynchronous items. The paper develops fuzzy optimal total cost function and fuzzy production quantity using trapezoidal numbers and applying Lagrangian method. A numerical example follows to justify the solution procedure. Keywords Economic order quantity (EOQ), Fuzzy inventory, Graded mean integration and Lagrangian method.

Determining the Efficiency of Fuzzy Logic EOQ Inventory Model with Varying Demand in Comparison with Lagrangian and Kuhn-Tucker Method Through Sensitivity Analysis

“…3, the curves of crisp and fuzzy EOQ remain closer. optimization methods in operations research [13] Lagrangian and Kuhn-Tucker methods. The values are varied to an increase and decrease of 25% and 40% which clearly shows that the crisp values of EOQ stay perfectly aligned between both the methods.…”

“…The study of inexplicit demand rates was doneby Chan [12] and few more resulting in the timedependent demand rates and varying holding cost. A detailed study of Lagrangian method to solve the nonlinear programming of the total cost was done by Kalaiarasi et al [13]. The Kuhn-Tucker optimization technique was for the NPP(non-linear programming) problem was carried out by Kalaiarasi et al [14].…”

“…Considering these inputs, the non-linear programming problem is solved for total cost function using Lagrangian and Kuhn-Tucker method and concluded with a sensitivity analysis, which exhibits the variations between the fuzzy and crisp values. (2) The multiplication of is Solving a nonlinear programming problem by obtaining the optimum solution was discussed by Taha [13] with equality constraints, also by solving those inequality constraints using Lagrangian method.…”

Shortest Path on Interval-Valued Intuitionistic Trapezoidal Neutrosophic Fuzzy Graphs With Application

“…Jayagowri et al [15] discover Optimized Path in a Network utilizing trapezoidal intuitionistic fuzzy numbers. Kalaiarasi et al [16] determine fuzzy optimal total cost and fuzzy optimal order quantity obtained by ranking function method and Kuhn-tucker method for the proposed inventory model. Kalaiarasi et al [17] constructed inventory parameters that are fuzzy using trapezoidal fuzzy numbers.…”

“…Kalaiarasi et al [16] determine fuzzy optimal total cost and fuzzy optimal order quantity obtained by ranking function method and Kuhn-tucker method for the proposed inventory model. Kalaiarasi et al [17] constructed inventory parameters that are fuzzy using trapezoidal fuzzy numbers. Kumar et al [18] proposed to tackling briefest way issue with edge weight.…”