This paper briefly reviews the literature on necessary optimality conditions for optimal control problems with state-variable inequality constraints. Then, it attempts to unify the treatment of linear optimal control problems with state variable inequality constraints in the framework of...

This paper studies the issue of coordinating equipment maintenance operations with capital investment strategy in the presence of random equipment failures. This problem represents an important extension of the celebrated Kamien and Schwartz (KS) paper published in Management Science. The...

We examine an oligopoly model of advertising competition where each firm's market share depends on its own and its competitors' advertising decisions. A differential game model is developed and used to derive the closed-loop Nash equilibrium under symmetric as well as asymmetric competition. We...

This paper considers a production-inventory problem in which the manufacturer participates in an energy buy-back program, which offers him probabilistic opportunities with rewards for not using electricity. That is, the manufacturer will get paid for stopping production to save on electricity....

In many applications, robotic cells are used in repetitive production of identical parts. A robotic cell contains two or more robot-served machines. The robot can have single or dual gripper. The cycle time is the time to produce a part in the cell. We consider single part-type problems. Since...

This paper considers the problem of a firm located on a lake in a situation wherein its production process pollutes the lake, while the pollution, in turn, increases the firm's production costs. It is assumed that the pollution caused is proportional to the production rate, that the lake has an...

This paper is concerned with an asymptotic analysis of hierarchical production and setup scheduling in a stochastic manufacturing system consisting of a single failure-prone machine and facing constant demands for a number of products. At any given time the system can only produce one type of...

This paper presents an asymptotic analysis of hierarchical production planning in a manufacturing system with two tandem machines that are subject to breakdown and repair. The system produces a single product, whose rate of demand over time is given to be constant. The problem is formulated as a...

In this paper, we treat an optimal control problem of a stochastic two-machine flowshop with machines subject to random breakdown and repair. While the problem is difficult to solve, it can be approximated by a deterministic problem when the rates of machine failure and repair become large....