International Journal of Scientific Engineering and Technology
  • Year: 2016
  • Volume: 5
  • Issue: 11

A Fuzzy Inventory Model For Non-Instantaneous Deteriorating Items Under Conditions Of Permissible Delay In Payments For N-Cycles

1P.G and Research, Department of Mathematics, Periyar E.V.R College, Trichy, TN., India

2Department of Mathematics, Saranathan College of Engineering, Trichy, TN., India

*E-mail: E-mail: maraguevr@yahoo.co.in

**sudhalakshmidevi28@gmail.com

Online published on 6 March, 2017.

Abstract

This study develops a fuzzy inventory model to find the minimum relevant inventory cost per unit time for non instantaneous deteriorating goods over a finite time horizon with exponentially declining demand for n-cycles. The shortages are allowed and back ordered. Under the situation of delay in payments, the inventory model in this study is divided into four cases by the time of shortage, deadline of delay in payment. The holding cost, shortage cost, deterioration cost, purchasing cost and selling price are considered as trapezoidal fuzzy numbers. The signed distance method is used for defuzzification. A numerical example is presented to illustrate the model and the sensitivity analysis is also studied.

Keywords

Inventory, non-instantaneous deteriorating items, exponentially declining demand, delay in payments, signed distance method, trapezoidal fuzzy number