Determination of Economic Production Quantity with Regard to Machine Failure
نویسندگان
چکیده
In this paper, we study an economic production quantity (EPQ) problem in which an item is produced by a single machine. We assume that the machine may fail in an exponential random time. The repair time is an exponential random variable. It is possible to satisfy the demand from an outside supplier when the machine is failed. The objective is to determine the production and order quantities in each cycle time to minimize the total inventory cost included set-up, ordering, holding, lost sales, production, and purchase costs. Since the cost function is a nonlinear mathematical function we propose an algorithm based on differentiation to obtain the optimum solution. Keywords— Production, Inventory, Machine failure
منابع مشابه
An Extension to the Economic Production Quantity Problem with Deteriorating Products Considering Random Machine Breakdown and Stochastic Repair Time
The recent advances in manufacturing systems motivate several studies to focus on Economic Production Quantity (EPQ) problem. Althuogh there are several extentions to the EPQ, this paper provides a new extension by considering some of the real world parameters like: (a) shortages in the form of partial backordering, (b) inventory can deteriorate stochastically, (c) machine can break down stocha...
متن کاملThe Simultaneous Effect of Holding Safety Stock and Purchasing Policies on the Economic Production Quantity Model Subject to Random Machine Breakdown
In this paper, we develop an economic production quantity (EPQ) model under machine breakdown and two types of repair (corrective and preventive). also, study the simultaneous effect of holding safety stock and purchasing policy. In order to avoid shortages occurring as a result of the random repair time, in addition to keep safety stock, we suppose that the manufacturer could purchase some qua...
متن کاملA forecasting system by considering product reliability, POQ policy, and periodic demand
This paper presents an economic production quantity (EPQ) model with a periodic order quantity (POQ) policy, product reliability and periodic demand. The machine reliability has decreased over time; therefore, the rates of perfect and defective products reduce and increase over time, respectively. A fixed percentage of these products are reworked while the rest is wasted. Some equipment in thei...
متن کاملOptimal Batch Production for a Single Machine System with Accumulated Defectives and Random Rate of Rework
In this paper we consider an imperfect production system which produces good and defective items and assume that defective items can be reworked. Due to the nature of rework process we do not restrict the rework rate to be equal to normal production rate or constant and assume that it is a random variable with an arbitrary distribution function. We also assume as it is true in most real world s...
متن کاملThe Determination of Socio-Economic Effects of Pomegranate Production in Sistan Region
p omegranate is one of the most important economic products in the agricultural sector in Sistan region. This region due to dry weather, very low rainfall and frequent droughts and lack of resources for agriculture faces many problems. Hence, one way to increase agricultural production is to increase efficiency, So that it can help the economy of the region. In this regard, in this study, ...
متن کامل