Production, maintenance, and quality are often modeled as separate problems, despite the strong link that exists between these primary components of any manufacturing system. This paper deals with an integrated approach for the joint optimization of production-inventory control and preventive maintenance policy for a manufacturing cell comprising an imperfect process where the ‘in-control’ peri...

In the area of production planning and control, the aggregate production planning (APP) problem represents a great challenge for decision makers in production-inventory systems. Tradeoff between inventory-capacity is known as the APP problem. To address it, static and dynamic models have been proposed, which in general have several shortcomings. It is the premise of this paper that the main dra...

Firms use inventory and interruption insurance to manage disruption risk in their production chains. They also take preparedness actions to reduce the expected length of disruptions. We analytically explore these three measures in a two-stage production chain. We find that inventory and preparedness differ in their responses to insurance and to production-chain cost and risk characteristics. We...

We consider a single stage production-inventory system whose production and demand rates are modulated by an environment process modeled as a finite state Continuous Time Markov Chain (CTMC). When the inventory level reaches zero, an order is placed from an external supplier, and it arrives instantaneously. We derive an Economic Order Quantity (EOQ ) policy that minimizes the long-run average c...

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...

cellular manufacturing system is one of the most important applications of group technology. design of this system involves many structural and operational issues, in which the cell formation and production planning are two important steps. in this paper, a new mathematical model is proposed for integration of cell formation and production planning problems with the aim of minimizing the overal...

Recently, the enterprises, from a financial perspective, have been seeing that need of the integrating with others with trade credit policies as a promising issue for savings in the supply chain. In this direction, this paper establishes a new economic production quantity (EPQ) inventory model for deteriorating items under two levels of trade credit, in which the supplier offers to the retailer...

Cárdenas-Barrón (2010) applied algebraic methods to EOQ and EPQ models without referring to differential equations, allowing researchers without backgrounds in calculus to understand inventory models with ease. In this note, we point out that the derivation for EPQ model can be obtained by a transformation of the EOQ model and then we provide a further simplification of his approach such that f...

This paper proposes an analytical method for performance evaluation and optimization of a production-distribution system composed of a warehouse supplied from an upstream manufacturing plant. Customer orders arrive randomly with random order size and the production capacity is finite. Transportation time from plant to warehouse is fixed. The analytical approach needs only the first two moments ...

We consider a realistic model of a multiclass make-to-stock manufacturing system. External demand for each product class is met from the available nished goods inventory; unsatis ed demand is backlogged. The objective is to devise a production policy that minimizes inventory costs subject to guaranteeing stockout probabilities to stay bounded above by given constants j , for each product class ...