A partially backlogged EPQ model with demand dependent production and non-instantaneous deterioration Online publication date: Tue, 31-Jan-2017
by Sanjay Singh; S.R. Singh; Seema Sharma
International Journal of Mathematics in Operational Research (IJMOR), Vol. 10, No. 2, 2017
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.
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