Ever since the publication of Pontryagin's Maximum Principle, the number of its applications to management science problems has been steadily growing. This paper is an up-to-date survey of the applications of the deterministic maximum principle to the three functional areas of management:...

We establish the computational complexity of the problem of minimizing makespan in a flowshop, where each jobs requires a pallet the entire time, from the start of its first operation until the completion of the last operation. We prove that the problem is NP-hard in the strong sense for m =2...

Focuses on a study which developed a framework for forecast and decision horizons. Definition of finite and infinite horizon stochastic optimization problems for a given forecast; Description of the general framework; Conditions for the existence of a solution horizon; Development of sufficient...

This paper derives a maximum principle for dynamic systems with continuous lags, i.e., systems governed by integrodifferential equations, using dynamic programming. As a result, the adjoint variables can be provided with useful economic interpretations

We generalize the concept of K-convexity to an n-dimensional Euclidean space. The resulting concept of K-convexity is useful in addressing production and inventory problems where there are individual product setup costs and/or joint setup costs. We derive some basic properties of K-convex...

Critics of the Forrester-Meadows models; of population and economic growth limits have focused their attention on the excessive aggregation of the model, on its exceedingly conservative assumptions regarding technological change and, particularly, on its alleged failure to consider the extent to...

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...

This paper is concerned with hierarchical control of stochastic manufacturing systems with machines whose capacity states are governed by a Markov process dependent on the rates of production. The objective is to choose production rates that minimize the total inventory/shortage and production...

This paper considers a problem of optimal preventive maintenance and replacement schedule of equipment devoted to extracting resources from known deposits. Typical examples are oil drills, mine shovels, etc. At most one replacement of the existing machinery by a new one is allowed. The problem...

We present a sufficient condition for a feedback Stackelberg equilibrium of a stochastic differential game on an infinite horizon. This condition gives rise to a system of elliptic partial differential equations involving a static Stackelberg game at the level of Lagrangian. As an example, we...