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...

Abstract In this Paper a multi item EOQ model with stock dependent demand for deteriorating items is considered in fuzzy environment. Inventory costs such as holding cost and setup cost have been represented by exponential membership function and profit, deteriorating rate and total investment constraint are represented by linear membership functions. The model has been solved by fuzzy non-line...

 This study presents an inventory model for deteriorating items with linearly time-dependent demand rate under trade credits. Mathematical models have been derived under four different situations i.e. Case 1 : The cycle time T is greater than or equal to M1, to get a cash discount, Case 2 : The cycle time T is less than M1, Case 3 : The cycle time is greater than or equal to M2, and Case 4 : T...

In this paper, an economic order quantity (EOQ) inventory model for a deteriorating item is developed with the following characteristics: (i) The demand rate is deterministic and two-staged, i.e., it is constant in first part of the cycle and linear function of time in the second part. (ii) Deterioration rate is time-proportional. (iii) Shortages are not allowed to occur. The o...

This study proposes an EOQ inventory mathematical model for deteriorating items with exponentially decreasing demand. In the model, the shortages are allowed and partially backordered. The backlogging rate is variable and dependent on the waiting time for the next replenishment. Further, we show that the minimized objective cost function is jointly convex and derive the optimal solution. A nume...

in paper (2004) chang studied an inventory model under a situation in which the supplier provides the purchaser with a permissible delay of payments if the purchaser orders a large quantity. tripathi (2011) also studied an inventory model with time dependent demand rate under which the supplier provides the purchaser with a permissible delay in payments. this paper is motivated by chang (2004) ...

<p style='text-indent:20px;'>The main purpose of this paper is to investigate the retailer's strategy in selecting order-up-to level, reorder point and preservation technology investment for deteriorating items, aiming maximize his total profit per unit time. We formulate problem into a mathematical model that takes account stock-dependent demand rate, holding cost. The terminal condition...