I our prior work on product diffusions in presence of a capacity constraint, we postulated that a firm operating in such an environment should always attempt to fulfill as much of the present demand as is possible with the capacity constraint. In other words, the firm would never have demand backlogged while accumulating inventory. In this note, we derive a sufficient condition for the optimali...

We study inventorymanagement problemswhere demands are revealed incrementally and procurement decisionsmust bemade before the demands are realized. There are no probabilistic distributions nor nontrivial bounds to characterize demands. We consider two cost minimization problems: (1) perishable products with lost sales and (2) durable products with backlogged demand. In both problems, costs are ...

In this paper a deterministic inventory model with imperfect quality have been developed for deteriorating items with two parameters Weibull distribution deterioration and time dependent holding cost. Shortages are allowed and are completely backlogged. The model has been framed to study the items whose deterioration rate increase with time under permissible delay in payments with imperfect qua...

A fuzzy inventory model is proposed to maximize the profit in a two stage supply chain model. In this paper joint total profit of both buyer and vendor are calculated. Shortage for the buyer is allowed and it is completely backlogged. Number of shipments, selling price and order quantity are taken as decision variables. Graded mean integration representation method is applied for defuzzificatio...

In this paper we have developed a two echelon supply chain production inventory model for deteriorating products having stock dependent demand under inflationary environment. This model is developed for finite time horizon. The shortages are allowed and partially backlogged. To make this study close to reality the production rate is assumed to be a function of demand rate. A numerical example a...

An inventory system for deteriorating products, with ramp-type demand rate, under two-level trade credit policy is considered. Shortages are allowed and partially backlogged. Sufficient conditions of the existence and uniqueness of the optimal replenishment policy are provided, and an algorithm, for its determination, is proposed. Numerical examples highlight the obtained results, and sensitivi...

We examine the traffic-handling capabilities of General Packet Radio Service (GPRS) with respect to supporting IP-based Internet services. We begin with an overview of GPRS in which we discuss its general characteristics, connection set-up procedures, and data transfer procedures, both for the reverse link and the forward link. We then present an analytical model to assess throughput of the rev...

In this paper, we study the collision resolution protocol of the IEEE 802.16 standard for metropolitan broadband wireless access systems. The standard specifies the use of a random access scheme based on the slotted binary exponential backoff (BEB) algorithm during the bandwidth request phase. We analyze the distributed choice of the retransmission probabilities used by the BEB protocol. We fol...