In this paper, a manufacturing system composed by a single-product machine, a buffer and a stochastic demand is considered. A discrete flow model is adopted to describe the system and to take into account the lost demands. The objective of this paper is to determine the optimal production planning taken into account service level. This optimal production planning minimizing the sum of productio...

In 1998, the retail sales and marketing division of Time Inc., the largest publisher of consumer magazines in the US, reviewed its newsstand distribution principles and procedures for its magazines. This review affected the three major distribution decisions: the evaluation of each magazine’s national print order, the wholesaler allotment procedure, and the store distribution process. For this ...

In many real inventory situations of short life-cycle products the decision maker often has to provide a subjective estimate of new demand distribution due to the lack of historical data. Thus, both randomness and uncertainty simultaneously appear in a single-period inventory (newsboy) problem. In this paper, we develop both single-item and multi-item single-period inventory models when market ...

The unanticipated shortening of a product’s life cycle can have a dramatic effect on inventory costs. Where the cause is physical decay or an unexpected decline in demand, producers can quickly find themselves quickly holding inventory that has degraded value or no value at all. In this research, we propose that an inventory system with this characteristic can be modeled as a Markov Process wit...

This paper presents a mathematical model of inventory control problem for determining the minimum total cost of multi-item multi-objective inventory model with fuzzy estimated price dependent demand, fuzzy deterioration and possible constraints. Here, three constraints we have taken; they are warehouse space constraint, investment amount constraint and the third constraint is the percentage of ...

In this paper, we describe the first computationally efficient policies for stochastic inventory models with lost sales and replenishment lead times that admit worst-case performance guarantees. In particular, we introduce dual-balancing policies for lost-sales models that are conceptually similar to dual-balancing policies recently introduced for a broad class of inventory models in which dema...

Based on the single-leg air cargo issues, we establish a dynamic programming model to consider the overbooking and space inventory control problem.We analyze the structure of optimal booking policy for every kind of booking requests and show that the optimal booking decision is of threshold type known as booking limit policy . Our research provides a theoretical support for the air cargo space ...

In this paper, we consider two fundamental inventory models, the single-period newsvendor problem and its multiperiod extension, but under the assumption that the explicit demand distributions are not known and that the only information available is a set of independent samples drawn from the true distributions. Under the assumption that the demand distributions are given explicitly, these mode...

We address the problem of determining optimal ordering and pricing policies in a finite-horizon newsvendor model with unobservable lost sales. The demand distribution is price-dependent and involves unknown parameters. We consider both the cases of perishable and non-perishable inventory. A very general class of demand functions is studied in this paper. We derive the optimal ordering and prici...

Market-makers have the obligation to trade fixed amounts of assets at quoted bid or ask prices, and their inventories are exposed to the potential loss when the market price moves in an undesirable direction. One approach to reduce the risk associated with price uncertainty is to adjust the inventory at the price of losing potential spread gain. For a single-asset model, we show that a threshol...