this paper presents an inventory model for deteriorating items in which shortages are allowed. it is assumed that the production rate is proportional to the demand rate and greater than demand rate. the inventory model is developed by considering four different circumstances. the optimal of the problem is obtained with the help of mathematica 7 software. numerical examples are given to illustra...

a new mathematical model for the optimal production isformulated for the inventory management system under time-varyingand stochastic inflation environment for deteriorating items. the timehorizon is finite and demand rate is dependent to the inflation. in thereal situation, some but not all customers will wait for backlogged itemsduring a shortage period, such as for fashionable commodities or...

in this paper, a production inventory model is developed for the business enterprise which consists of three wings. the first wing is for manufacturing new items, the second wing is for collecting the returned items, while third wing is for remanufacturing the returned item. in this model we consider the fact that the storage item is deteriorated during storage periods and salvage value is inco...

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 considered a deterministic inventory model with time-dependent demand and time-varying holding cost where deterioration is time proportional. The model considered here allows for shortages, and the demand is partially backlogged. The model is solved analytically by minimizing the total inventory cost. The result is illustrated with numerical example for the model. The model ca...

In this paper, we attempt to develop an inventory model for deteriorating items with the consideration of the fact that the use of preservation technology (PT) can reduce the deterioration rate significantly. In this model the shortages are allowed and salvage value is incorporated to the deteriorated items. Demand rate is constant, deterioration rate is time dependent with Weibull’s distributi...

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...

Purpose: The purpose of this paper to develop an inventory model for instantaneous deteriorating items with the consideration of the facts that the deterioration rate can be controlled by using the preservation technology (PT) and the holding cost & demand rate both are linear function of time which was treated as constant in most of the deteriorating inventory model. Design/methodology/approac...

Deterioration cannot be avoided in business scenarios. Deterioration is defined as change, damage, decay, spoilage obsolescence and loss of utility or loss of original value in a commodity that results in the decreasing usefulness from the original one product. Normally inventory models of deteriorating items, such as food products, vegetables, etc. involve imprecise parameters, like imprecise ...

In the past few decade researches have developed their EOQ models under constant deterioration and constant demand. However, it is not true in actual practice. In this paper, we have established inventory model with exponential time-dependent demand and timedependent time-dependent deterioration. Shortages are allowed. The demand rate and unit production cost both are considered as proportional...