A partially backlogged EPQ model with demand dependent production and non-instantaneous deterioration. (2017)

• Record Type: Journal Article
• Authors: Singh, Sanjay; Singh, S.R.; Sharma, Seema
• Is Part Of: International journal of mathematics in operational research. Volume 10:Number 2(2017)
• Page Start: 211
• Page End: 228
• Publication Date: 2017
• Subjects: inventory management -- economic production quantity -- EPQ -- variable production -- partial backlogging -- demand dependent production -- non-instantaneous deterioration -- production inventory systems -- inventory modelling -- deteriorating items; Operations research -- Mathematical models -- Periodicals; Operations research -- Mathematics -- Periodicals; Decision making -- Mathematical models -- Periodicals; 658.4033
• Languages: English
• ISSNs: 1757-5850

Abstract

The present paper deals with a production inventory system for non-instantaneous deteriorating items with demand dependent production rate. It is assumed that demand rate is exponentially increasing function of time. Shortages are considered and partially backordered at a rate of decreasing function of waiting time for next replenishment. Herein, two cases for life time approach regarding the production stopping time point have been studied separately. The numerical examples have been provided separately to illustrate each case. Finally, sensitivity analysis has also been made to show the behaviour of presented model in each case.