Optimal Control of an HMMS-Model with Deteriorating Items
نویسندگان
چکیده
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. The general solution of the controlled system is obtained. Finally, some numerical examples are presented to demonstrate the effectiveness of the proposed solution.
منابع مشابه
Optimal ordering quantities for substitutable deteriorating items under joint replenishment with cost of substitution
In this paper we develop an inventory model, to determine the optimal ordering quantities, for a set of two substitutable deteriorating items. In this inventory model the inventory level of both items depleted due to demands and deterioration and when an item is out of stock, its demands are partially fulfilled by the other item and all unsatisfied demand is lost. Each substituted item incurs a...
متن کاملAn EOQ model for non-instantaneous deteriorating items with two levels of storage under trade credit policy
A deterministic inventory model with two levels of storage (own warehouse and rented warehouse) with non-instantaneous deteriorating items is studied. The supplier offers the retailer a trade credit period to settle the amount. Different scenarios based on the deterioration and the trade credit period have been considered. In this article, we have framed two models considering single warehouse ...
متن کاملAn economic production model for deteriorating items and time dependent demand with rework and multiple production setups
Recently, much emphasis has given to study the control and maintenance of production inventories of the deteriorating items. Rework is one of the main issues in reverse logistic and green supply chain, since it can reduce production cost and the environmental problem. Many researchers have focused on developing rework model, but few of them have developed model for deteriorating items. Due to t...
متن کاملAn optimal policy for deteriorating items with time-proportional deterioration rate and constant and time-dependent linear demand rate
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...
متن کاملAn inventory model for non-instantaneous deteriorating items with imperfect quality, delay in payments and time value money
In this paper, Economic Order Quantity ( ) based model for non-instantaneous deteriorating items with imperfect quality, permissible delay in payments and inflation is proposed. We adopt a time-dependent demand function. Also, the effects of time value of money are studied using the Discounted Cash Flow approach. Moreover, we assume that orders may contain a random proportion of defective items...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009