Title: A fuzzy replenishment policy for deteriorating items with ramp type demand rate under inflation

Authors: G.C. Mahata, A. Goswami

Addresses: Department of Mathematics, Sitananda College, Nandigram, Purba Medinipur, 721631 West Bengal, India. ' Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India

Abstract: Normally, the real-world inventory control problems are imprecisely defined and human interventions are often required to solve these decision-making problems. In this paper, a realistic inventory model with imprecise inventory costs have been formulated for deteriorating items under inflation. Shortages are allowed and the demand rate is taken as a ramp type function of time as well. For generality, we not only provide the solution for the inventory system, where the inventory starts with no shortages; but also enumerate two possible shortage models in the fuzzy sense. We have introduced fuzzy multi-objective mathematical programming with the triangular fuzzy number and it is applied as cost coefficients to the inventory problem. Pareto optimal solution of this multi-objective mathematical programming is established. Numerical example has been provided to illustrate the problem. Finally, sensitivity analysis is carried out to identify the most sensitive parameters in the system.

Keywords: inventory control; ramp type demand rate; deteriorating items; fuzzy cost coefficients; graded mean integration representation; fuzzy replenishment; inflation; replenishment policy; inventory modelling.

DOI: 10.1504/IJOR.2009.025200

International Journal of Operational Research, 2009 Vol.5 No.3, pp.328 - 348

Published online: 16 May 2009 *

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