Arya Bhatta Journal of Mathematics and Informatics

  • Year: 2015
  • Volume: 7
  • Issue: 2

An EOQ model for deteriorating items with ramp type demand, weibull distributed deterioration and shortages

  • Author:
  • Anil Kumar Sharma1, Naresh Kumar Aggarwal2, Satish Kumar Khurana3
  • Total Page Count: 8
  • DOI:
  • Page Number: 297 to 304

1R.R. College, Alwar, Rajsthan

2Govt. Model Sr. Sec School, B. K. Pur, Rewari, Haryana

3Indira Gandhi University, Meerpur, Rewari, Haryana

Abstract

In this paper, an inventory model is developed for deteriorating items that deteriorates at a Weibull distributed rate, assuming the demand rate as a ramp type function of time. Shortages are allowed and completely back logged. The deterioration rate is a special form of two parameters Weibull distribution function considered by Covert and Philip [4]. Deterioration rate is considered to be a function of time and some other parameters such as temperature, humidity etc. Model is solved by cost minimizing criterion. Finally numerical examples are given to illustrate the results obtained.

Keywords

EOQ Model, Deterioration, Shortages, Weibull Distribution, Ramp Type Demand