This paper deals with a two-warehouse inventory model for deteriorating items with time dependent demand and partial backlogging under inflation. It is assumed that deterioration of items follows two-parameter Weibull distribution and demand rate varies exponentially with time. Shortages are allowed and partial backlogging depends on waiting time of next replenishment. A numerical example is pr...

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.

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.

This paper deals with an optimal replenishment policy for deteriorating items with multi-variate demand and partial backlogging. The proposed model allows for (1) multivariate demand replenishment cycles, (2) partial backlogging, and (3) time-varying shortage intervals. Consequently, the proposed model is in a general framework for that inventory models includes these above assumptions. We show...

This study models a joint pricing, inventory, and preservation decision-making problem for deteriorating items subject to stochastic demand and promotional effort. The generalized price-dependent stochastic demand, time proportional deterioration, and partial backlogging rates are used to model the inventory system. The objective is to find the optimal pricing, replenishment, and preservation t...

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 ...

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...

An EOQ (Economic Order Quantity) model for a deteriorating item with quadratic demand pattern and quadratic holding cost and constant deterioration rate is considered in this paper. In addition, shortages and partial backlogging are allowed. It is assumed that the backlogging rate acts as not only a variable, but also depends on the length of the waiting time up to next replenishment during the...

Harris’s classic square root economic order quantity (EOQ) model forms the basis for many other models that relax one or more of its assumptions. A key assumption of the basic EOQ model is that stockouts are not permitted. Due to the excess demands, stock-out situations may arise occasionally. Sometimes, shortages are permitted and they are backordered and satisfied in the very next replenishme...

A deterministic inventory model for infinite time-horizon incorporating inventory level-dependent demand rate, deterioration begins after a certain time, partial backlogging and decrease in demand is developed. The salient feature of the developed model is the introduction of the concept of fractional decrease in demand due to ageing of inventory. Demand at any instant depends linearly on the ...