The Pontryagin minimum principle is applied in this paper to find the optimal controllers of the Holt, Modigliani, Muth and Simon(HMMS) reverse logistics model of a production inventory system with deteriorating items. The total cost of the system consists of the sum of holding costs of inventory levels in two different stores, the manufacturing and remanufacturing costs, and the disposal cost....

This study discusses the retailer’s optimal replenishment policy for products with a seasonal demand pattern. The demand of seasonal merchandise such as clothes, sporting goods, children’s toys and electrical home appearances tends to decrease with time. In this study, we focus on “Special Display Goods”, which are heaped up in end displays or special areas at the retail store. They are sold at...

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...

Disruption management has recently become an active area of research. In this study, an extension is made to consider the fact that some products may deteriorate during storage. A productioninventory model for deteriorating items with production disruptions is developed. Then the optimal production and inventory plans are provided, so that the manufacturer can reduce the loss caused by disrupti...

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...

: In real life situations, especially for new products, the probability is not known due to lack of historical data and adequate information. Then these parameters and variables are treated as fuzzy parameters. Fuzzy set theory is now applied to problems in engineering, business, medical and related health sciences and natural sciences. Over the years there have been successful applications and...

In inventory, the utility of the deteriorating items decreases with time. The degree of deterioration of product utility can be treated as penalty cost in the inventory replenishment system. In this paper, we present EOQ model for those perishable products, which do not deteriorate for some period of time and after that time they continuously deteriorate with time and loose their importance. Th...

Optimal pricing and marketing planning plays an essential role in production decisions on deteriorating items. This paper presents a mathematical model for a three-level supply chain, which includes one producer, one distributor and one retailer. The proposed study considers the production of a deteriorating item where demand is influenced by price, marketing expenditure, quality of product and...

osting by E Abstract A production process whose performance deteriorates over time is studied in this paper. It is assumed that the process performance can be measured in terms of the proportion of good units of end items produced. Using the pontryagin principle, the optimal scheduled production rate and preventive maintenance rate will be derived as a function of both production rate and propo...