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...

A quadratic model for production-inventory planning was made famous by Holt, Modigliani, Muth, and Simon in 1960 in [3], especially for its application to a paint factory. A discrete control version of a related quadratic production-inventory model was studied by Kleindorfer, Kriebel, Thompson,...

This paper considers the problems of a dynamic continuous thief, such as a habitual shoplifter or a gas siphoner, who must choose the pilfering rate (which increases the probability of his arrest over time) to maximize the present value of his total expected gain over a given finite or infinite...

We consider stock positioning in a pure assembly system controlled using installation base-stock policies. When component suppliers have random capacity and end-product demand is uncertain, we characterize the system's inventory dynamics. We show that components and the end product play convex...

This note extends some of the key results of Dong and Rudi (2004) to general demand distributions. This generalization is achieved in two steps. First, we build on the analysis of Dong and Rudi to demonstrate that an inventory problem with transshipment is equivalent to a newsvendor problem with...

Patch management is a crucial component of information security management. An important problem within this context from a vendor's perspective is to determine how to release patches to fix vulnerabilities in its software. From a firm's perspective, the issue is how to update vulnerable systems...

The following typographical errors appeared in our paper "Planning Horizon Procedures for Machine Replacement Models," Management Science, Vol. 25, No. 2 (February 1979), pp. 140-151.

The following typographical errors appeared in my paper "Optimal Pilfering Policies for Dynamic Continuous Thieves," Management Sci., Vol. 25, No. 6 (1979), pp. 535-542.

This paper considers the problems of a dynamic continuous thief, such as a habitual shoplifter or a gas siphoner, who must choose the pilfering rate (which increases the probability of his arrest over time) to maximize the present value of his total expected gain over a given finite or infinte...

This paper presents a review of recent developments that have taken place in the area of dynamic optimal control models in advertising subsequent to the comprehensive survey of the literature by Sethi in 1977. The basic problem underlying these models is that of determining optimal advertising...