A firm is considered that manages its internal manufacturing operations according to a just-in-time system, but maintains an inventory of finished goods as a buffer against random demands from external customers. The finished goods inventory may be analysed by the methods of classical inventory theory in order to characterize the trade-off between inventory costs and schedule stability. A model...

and Applied Analysis 3 CS(D i , x i ): total costs including shortage costs and storage costs for item i P(D i , x i ): profit for item i. For the ith item, some assumptions are introduced as follows. (i) The time horizon is infinite. (ii) The production rate is instantaneous. (iii) The lead time is zero. (iv) There is no fixed ordering cost and there is no initial inventory. (v) The demandD i ...

In this paper, we consider a continuous review perishable inventory system with a service facility having two heterogeneous servers, server 1 and server 2 , and the demands originate from a finite population of N sources. In such systems, the customers demand is satisfied only after some service is completed by any one of the two servers. Compared to most inventory models in which inventory is ...

The research in the area of retrial queues focused mainly on the fact that the retrials operate under classical retrial policy, which suppose that the intervals between successive repeated attempts are exponentially distributed with total rate jθ (j is the number of customers in the orbit). There is another discipline, called constant retrial policy, where the total retrial rate does not depend...

 Normally, the real-world inventory control problems are imprecisely defined and human interventions are often required to solve these decision-making problems. In this paper, a realistic inventory model with imprecise inventory costs have been formulated for deteriorating items under trade credit policy within the economic production quantity (EPQ) framework. We assume that the supplier would...

This paper analyses a discrete-time (s, S) queueing inventory model with service time and back-order in inventory. The arrival of customers is assumed to be the Bernoulli process. Service follows geometric distribution. As soon as level reaches pre-assigned due demands, an order for replenishment placed. Replenishment also When reduces zero or non-replenishment items, maximum k are allowed syst...

We consider an infinite horizon production planning problem with non-stationary, convex production and inventory costs. Backlogging is allowed unlike related previous work and inventory cost is interpreted as backlogging cost when inventory is negative. We create finite horizon truncations of the infinite horizon problem and employ classic results on convex production planning to derive a close...

Consider stochastic production-inventory control problem in which there are multiple capacity sources, multiple heterogeneous products, non-stationary demand and time-varying costs. If shortage costs can be evaluated the natural objective is to minimize expected production, inventory and shortage costs. Otherwise one can use service level requirements as target inventory while trying to minimiz...

Typical models of the production inventory systems assume that lot sizes of raw materials and final products are treated separately which leads to suboptimization production process. In this paper, a unified inventory model of an integrated production inventory system, where each of production, demand and deterioration rates are general functions of time, is considered. Shortage for the final p...

in recent decade, several methodologies and tools have been developed to undertake a risk analysis in order to prevent accidents in the process industries. attempts have been made to study and compare these methods. however, yet no method has been proposed to aid managers in a scientific selection of a proper risk analysis method. in this paper, we have presented a multi criteria decision makin...