## INVENTORY MODEL OF DETERIORATING ITEMS FOR SUPERMARKET: A FUZZY APPROACH

Published: 2018-03-14

Page: 231-239

P. RAULA

P.G. Department of Mathematics, Berhampur University, Bhanja Bihar, Berhampur-760 007, India.

S. K. INDRAJITSINGHA *

P.G. Department of Mathematics, Berhampur University, Bhanja Bihar, Berhampur-760 007, India.

P. N. SAMANTA

P.G. Department of Mathematics, Berhampur University, Bhanja Bihar, Berhampur-760 007, India.

L. K. RAJU

P.G. Department of Mathematics, NIST, Palur Hills, Golanthara-761 008, India.

U. K. MISRA

P.G. Department of Mathematics, NIST, Palur Hills, Golanthara-761 008, India.

*Author to whom correspondence should be addressed.

### Abstract

The objective of this model is to minimize the inventory cost for supermarket problems. In this paper we consider an inventory model of deteriorating items with stock dependent demand rate in which shortages are not allowed. The cycle time of this model is divided into two parts. In the first interval the demand is taken as stock dependent and in later it is constant. As most of the parameters are uncertain, we consider the demand, holding cost, deterioration cost and deterioration rate as pentagonal fuzzy number and defuzzified by Signed distance method. A numerical example is provided to illustrate the results along with graphical analysis. Sensitivity analysis has also been carried out for different values of the system parameters.

Keywords: Inventory model, pentagonal fuzzy number, signed distance method, defuzzification

#### How to Cite

RAULA, P., INDRAJITSINGHA, S. K., SAMANTA, P. N., RAJU, L. K., & MISRA, U. K. (2018). INVENTORY MODEL OF DETERIORATING ITEMS FOR SUPERMARKET: A FUZZY APPROACH. Asian Journal of Mathematics and Computer Research, 23(4), 231–239. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/977