We consider a three-level distribution network involving a raw material supplier with imperfect quality, a manufacturer and several retailers. A production-inventory model accompanied by a partial backlogging approach is developed by considering random disruptions. Any batch received from the supplier is inspected by the manufacturer and if any flaw is visited, all the goods in the inspected ba...

In this paper, we consider the pricing and lot-sizing problem for a product subject to general rate of deterioration and partial backordering. We use impatience functions to model backlogging of demand. We show that even when lost sale and backorder costs are present, the problem is well posed in the reduced space. We provide an iterative procedure for solving the overall problem. We describe s...

In this paper, an inventory model with ramp type demand rate with inflation and time value of money is developed. The deterioration rate follows three-parameter Weibull distribution with the concept of life time of an item. Shortages are also allowed and unsatisfied demand is partially backlogged. The model is fairly general in practice, as the demand of some items such as fashionable items inc...

ABSTRACT In this paper, we study a deterministic inventory model for deteriorating items under time-dependent partial backlogging. Though lot of factors involving inventory affect the demand, among them time and stock are the most important factors. Therefore, we consider here the combined stock and time varying demand to make the theory more applicable in practice. We study the effects time de...

This paper presents an algorithm to compute an optimal (s, S) policy under standard assumptions (stationary data, well-behaved one-period costs, discrete demand, full backlogging, and the average-cost criterion). The method is iterative, starting with an arbitrary, given (s, S) policy and converging to an optimal policy in a finite number of iterations. Any of the available approximations can t...

a r t i c l e i n f o This paper expands an inventory model for deteriorating items with stock-dependent demand. This model provides time varying backlogging rate as well as time varying deterioration rate. The aim of this model is to determine the optimal cycle length of each product such that the expected total cost (holding, shortage, ordering, deterioration and opportunity cost) is minimize...