We derive a sharp upper bound on the minimal forecast horizon in the discounted dynamic lot size model with constant initial demand. This bound is given by m(m 1), where m is the EOQ's worth, i.e., the number of periods for which the total demand equals Economic Order Quantity. Our results do...

We consider a single machine, multiproduct manufacturing system, which can operate at finitely many quality levels. The quality of the machine deteriorates according to a continuous-time Markov process and the only way to improve the quality is by replacing the machine by a new one. In this...

A single-machine multiproduct manufacturing system with random breakdowns and random repair times is considered. Under a weak capacity condition on the system it is shown that the total work-in-progress (WIP) is a recurrent stochastic process. By replacing the stochastic model by a deterministic...

A single machine processing different types of parts is considered. Switching from one type to another involves a setup time. The part types may have different processing times. The resulting scheduling problem is treated as a dynamical system for which several feedback policies that are...

This article considers the problem of equipment replacement in which the replacement decision at a particular time must take into account (i) the state of the existing machine in use, (ii) the available replacement alternatives at the time, (iii) the future advances in the relevant technologies...

In this paper, we deal with the problem of sequencing parts and robot moves in a robotic cell where the robot is used to feed machines in the cell. The robotic cell, which produces a set of parts of the same or different types, is a flow-line manufacturing system. Our objective is to maximize...

We propose a new class of knapsack problems by assiuning that the sizes of the items to be put into a knapsack are known to be elements 0f a given subset S of the positive integers Z'^. The set S is treated as a parameter. We show that the family of knapsack problems obtained by varying the...

In this paper, we analyse a control theoretic model of a country possessing a finite amount of a nonrenewable resource. The country can both consume the indigenous resource and export it. Moreover, a substitute for the indigenous resource is available at a given backstop price. We obtain the...