In this article, an inventory model is developed to deal with the impreciseness present in the market demand and the various cost parameters. The presented model is developed in crisp and fuzzy environments. Signed distance method is used for defuzzification. In most of the classical models, constant demand rate is considered. But in practice purchasing deeds of the customers is affected by the...

In this paper we develop an economic order quantity model to investigate the optimal replenishment policies for instantaneous deteriorating items under inflation and trade credit. Demand rate is a linear function of selling price and decreases negative exponentially with time over a finite planning horizon. Shortages are allowed and partially backlogged. Under these conditions, we model the ret...

This paper develops an informative column generation and decomposition method for a capacitated multi-item lot sizing and facility location problem with backlogging. The method hybridizes column generation to achieve a relaxed linear solution and a decomposition method (i.e., relax-and-fix) to achieve a feasible solution. The two solutions are used for a neighborhood search procedure that fixes...

An inventory system for non-instantaneous deteriorating items with price-dependent demand is formulated and solved. A model is developed in which shortages are allowed and partially backlogged, where the backlogging rate is variable and dependent on the waiting time for the next replenishment. The major objective is to determine the optimal selling price, the length of time in which there is no...

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 ...

In this paper we study a type of production-inventory system in which the production and demand rates are modulated by a background state process modeled as a finite state Continuous Time Markov Chain (CTMC). When the production rate exceeds the demand rate, the inventory level increases, and when the demand rate exceeds the production rate, it decreases. When the inventory level reaches zero, ...

In this paper we develop procedures for setting the basestock levels for a buffer in a supply chain subject to uncertainty in the demands. Our work is motivated by experience with an industrial partner in the electronics industry who was subject to the following difficulties: short product cycles, a complex supply chain with multiple suppliers and long production leadtimes, and a very competiti...

n most dynamic planning problems, one observes that an optimal decision at any given stage Idepends on limited information, i.e. information pertaining to a limited set of adjacent or nearby stages. This holds in particular for planning problems over time, where an optimal decision in a given period depends on information related to a limited future time horizon, a so-called forecast horizon, o...

Huang [ Journal of Statistics and Management Systems, Vol. 6 (2003), No. 2, pp. 171-180 ] studied the EOQ (Economic Order Quantity) and EPQ (Economic Production Quantity) models with backlogging and defective items using the algebraic approach. He assumed 100% inspection policy and the known proportion of defective items was removed prior to storage or use after the screening process. In this p...

A two warehouse production inventory model for deteriorating items is explored in an inflation induced demand and partial backlogging under the effect of learning on set-up cost. Holding cost is treated as a linear function of time and production rate is taken as a linear combination of demand and on-hand inventory. A finite planning horizon inventory problem having two separate warehouses, one...