An Inventory Model for Deteriorating Items with Non-Linear Selling Price Dependent Demand and Exponentially Partial Backlogging Shortage

Abstract

In this paper, we have developed an inventory models for deteriorating items with non-linear price dependent demand and frequency of advertisement of items. It is allowed and partially backlogged with a exponential rate on the duration of waiting time up to the arrival of next lot. In this model, the deterioration rate follows three-parameter weibull distribution and the transportation cost is considered explicitly for replenishing the order quantity. The transportation cost is dependent on the lot-size as well as the distance from the source to the destination of the located shop. The corresponding nonlinear model are formulated and solved by considering the transportation cost for replenishing the items. A numerical example is given to illustrate the results and the significant features of the result are discussed. Finally, we have performed the sensitivity analysis taking one or more parameters at a time.

A Production inventory model for deteriorating items with quadratic time dependent demand with two levels of Production

“…Review of Literature Arif [14] meticulously investigated the degradation rate of the form within the context of the three-parameter Weibull distribution, as expounded in their scholarly article. Furthermore, their research comprehensively addressed the explicit consideration of transportation costs in the context of replenishing the order quantity.…”

Optimal Investment in Preservation Technology for Variable Demand under Trade-Credit and Shortages

“…For deteriorating goods with a noninstantaneous quality under price-sensitive demand and trade credit policy, in [16], an inventory model is developed. In [17], the Weibull distribution rate for deterioration products is considered with the sales price's non-linear function and an exponentially partial shortage. In [18], the recycling of expiry dates is presented with deteriorating products under dissimilar supply chains.…”

An Inventory Model with Deteriorating Items having Price Dependent Demand and Time Dependent Holding Cost under Influence of Inflation

“…Various factors such as unreliability function and hazard rate function were derived in [12]. An inventory model developed in [1], in which deterioration rate taken as Weibull function with three parameter. And cost of transportation taken as depending on lot size.…”