In this paper a deterministic inventory model is developed deterioration rate is time proportional. Demand rate is a function of selling price. Deterioration rate, inventory holding cost and ordering cost are all of function of time. The planning horizon is infinite. The optimum replacement policy and decision rule, which minimizes the total cost, is developed. In this study an order level inve...

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 paper deals with an optimal ordering policy for non-deteriorating item with power demand under trade credits. The shortages are allowed and combination of backlogged and lost sales. Mathematical model is developed under two different situations, i.e., case 1: the permissible delay period is less than time to finish positive inventory and case 2 trade credit period is greater than or equal ...

Abstract --In this paper, we developed an EOQ model for Weibull deteriorating items with linear demand rate in fuzzy environment. Shortages are allowed and partially backlogged. Holding cost, deterioration cost, ordering cost, shortage cost and opportunity cost are assumed as a triangular fuzzy numbers. The purpose of this paper is to minimize the total cost function in fuzzy environment. Grade...

  We discuss the effects of inflation and time discounting on an EOQ model for deteriorating items under stock-dependent demand and time-dependent partial backlogging. The inventory model is studied under the replenishment policy starting with no shortages. We then use MATLAB to find the optimal replenishment policies. The objective of this model is to maximize the total profit (TP) which inclu...

The paper investigates a two-echelon production-delivery supply chain model for products with stochastic demand and backorder-lost sales mixture under trade-credit financing. manufacturer delivers the retailer’s order quantity in number of equal-sized shipments. replenishment lead-time is such that it can be crashed to minimum duration at an additional cost treated as investment. Shortages inve...

In this paper, a fuzzy inventory model with Weibull deterioration rate, quadratic demand and variable holding cost under permissible shortages has been developed. The rate is expressed by two-parameter distribution. During shortage, some buyers wait for the actual product, while others do not. This shortfall considered partially backlogged in model. Some product during such shortages, but many ...

Fuzzy set theory is primarily concerned with how to quantitatively deal with imprec ision and uncertainty, and offers the decision maker another tool in addition to the classical deterministic and probabilistic mathematical tools that a re used in modeling real-world problems. The present study investigates a fuzzy economic order quantity model for deteriorating items in which demand increases ...