This paper deals with two warehouse inventory model of determining the optimal replenishment policy for non-instantaneous deteriorating items partial backlogging and stock-dependent demand. In the model, shortages are allowed and the backlogging rate is variable and dependent on the waiting time for the next replenishment. The necessary and sufficient conditions of the existence and uniqueness ...

This paper investigates a production inventory model under classical EPQ framework with the assumption that customer demand during stock-out period is affected by accumulated back-orders. The backlog rate not fixed; instead, assumed to decrease proportionally existing which thereby approximated piecewise constant function. Deteriorating items are taken into consideration in this work. For bette...

<p style='text-indent:20px;'>In today's competitive markets, offering delay payments has become a commonly adopted method. In this paper, we examine an optimal dynamic decision-making problem for retailer selling single deteriorating product, the demand rate of which varies simultaneously with on-hand inventory level and length credit period that is offered to customers. addition, risk de...