In this paper, production-inventory models for a deteriorating item in a single vendor-buyer system has been developed with constant production and demand rate. Shortages at the buyer (when it is allowed) depends on time. The models have been formulated as cost minimization problem via both integrated and non-integrated approaches and solved using genetic algorithms developed to solve the singl...

Abstract -In this paper, we developed a fuzzy optimal replenishment policy for Inventory models of Weibull Deterioration items with Ramp type Demand under permissible delay in payments. Deterioration of items begins on their arrival in stock. The shortages are allowed and partially backlogged. All the inventory costs involved in this model are taken as triangular fuzzy numbers. Replenishment cy...

In this paper, an inventory model with ramp type demand rate with inflation and time value of money is developed. The deterioration rate follows three-parameter Weibull distribution with the concept of life time of an item. Shortages are also allowed and unsatisfied demand is partially backlogged. The model is fairly general in practice, as the demand of some items such as fashionable items inc...

In this study, a deterministic inventory model in which items are subject to constant deterioration and shortages are allowed. The unsatisfied demand is backlogged which is a function of time. The optimal order quantity is derived by minimizing the total cost. The numerical example is given to support the result. The convexity of the cost function is shown numerically. Sensitivity analysis is c...

This model presents the invention scheduling difficulty in industry with different operational constraints, as well as strategic plan of the business, revenue purpose, and limit on finishing. In this article, we have studied an inventory model for deteriorating items with shortages under partially backlogging. The aim of present study is to minimize the total cost function in fuzzy environment....

This paper presents an inventory model for deteriorating items with stock-dependent selling rate under inflation and time value of money over a finite planning horizon. In the model, shortages are allowed and the unsatisfied demand is partially backlogged at the exponential rate with respect to the waiting time. We establish the theoretical results and provide an efficient solution procedure to...

A purchasing inventory model with shortages where carrying cost, shortage cost, setup cost and demand quantity are considered as fuzzy numbers. The fuzzy parameters are transformed into corresponding interval numbers and then the interval objective function has been transformed into a classical multi-objective economic ordering quantity (EOQ) problem. To minimize the interval objective function...