Abstract An inventory model is developed for a deteriorating item having an instantaneous supply, a quadratic time-varying demand and shortages in inventory. A two-parameter Weibull distribution is taken to represent the time to deterioration. The model is solved analytically to obtain the optimal solution of the problem. It is then illustrated with the help of a numerical example. The sensitiv...

We study the problem of planning the production of new and recovering defective items of the same product manufactured on the same facility. Items of the product are produced in batches. The processing of a batch includes two stages. In the first work stage, all items of a batch are manufactured and good quality items go to the inventory to satisfy given demands. In the second rework stage, som...

In the classical inventory it is assumed that all the costs associated with the inventory system remains constant over time. Since most decision makers think that the inflation does not have significant influence on the inventory policy and most of the inventory models developed so far does not include inflation and time value of money as parameters of the system. But due to large scale of infl...

This paper is concerned with the optimal control of a production inventory system with deteriorating items. It is assumed that the deterioration rate follows the two-parameter Weibull distribution. The continuous-review and periodic-review policies are investigated. In each case, optimality conditions are derived. Also, numerical illustrative examples are presented.

An inventory model for two warehouses with different deterioration rates is developed. Demand is considered as linear function of time. Holding cost is time dependent. Shortages are allowed and completely backlogged. To support the model numerical case is given. Affectability investigation is likewise done for parameters.

Recently, Skouri et al. (2009) proposed two inventory models with general ramp-type demand rate, Weibull deterioration rate, and partial backlogging of unsatisfied demand: (a) Model 1 was starting with no shortages, and Model 2 was starting with shortages. They derived the optimal solutions for both models. Then they ran 2 numerical examples, and concluded that ”the total cost for the model sta...

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...

This paper presents an application for the development of stochastic models to predict the deterioration of infrastructure facilities. The main objective is to demonstrate the capabilities and limitations of two types of models, namely state-based and time-based models, which will guide decision makers in selecting the most appropriate model type according to management needs and data availabil...