We developed an inventory model for decaying items with selling price dependent demand in inflationary environment. Deterioration rate is taken as two parameter Weibull distribution. Shortages in inventory are allowed with partial backlogging. Backlogging rate is taken as exponential decreasing function of time. Profit maximization technique is used in this study.

In this paper we study a type of production-inventory system in which the production and demand rates are modulated by a background state process modeled as a finite state Continuous Time Markov Chain (CTMC). When the production rate exceeds the demand rate, the inventory level increases, and when the demand rate exceeds the production rate, it decreases. When the inventory level reaches zero, ...

This paper deals with economic ordering policies for deteriorating items with inflation dependent demand rate under permissible delay in payments by considering selling price is necessarily higher than purchasing cost. We obtain optimal cycle time and we show the total cost function is concave for both cases i.e. case I and case II. We then develop an algorithm for a retailer to determine its o...

The objective of this model is to investigate the inventory system for perishable items with linear demand pattern where Weibull deterioration is considered. The Economic order quantity is determined for minimizing the average total cost per unit time. The unit production cost is taken to be inversely related to the demand rate. The result is illustrated with numerical example.

In this paper we discuss the possible affects of inflations by the supplier on a retailer’s replanishment policy for time-dependent deteriorating items with constant demand rate. This optimal order quantity is obtained for all four cases i.e. for case 1, 0<T<Td , case 2, Td ≤T<M, case 3, Td ≤M ≤T and case 4, M≤ Td <T. The optimal total relevent cost is obtain for all these four cases which is m...

In this paper, we derive a partial backlogging inventory model for noninstantaneous deteriorating items with stock-dependent demand rate under inflation over a finite planning horizon. We propose a mathematical model and theorem to find minimum total relevant cost and optimal order quantity. Numerical examples are used to illustrate the developed model and the solution process. Finally, a sensi...