In this paper, we provide a closed-form solution to an optimal portfolio execution problem with stochastic price impact and stochastic net demand pressure. Specifically, each trade of an investor has temporary and permanent price impacts, both of which are driven by a continuous-time Markov...

Supply chain coordination and associated contracts have been active research topics in supply chain management. Yet, little has been done in addressing the robustness of the design, evaluation, and implementation of such contracts. We develop a consistency framework for supply chain contracts...

Linear optimal control problems with state inequality constraints is an important class of large systems. This paper shows that a generalized programming formulation of these problems does not result in a decomposition over time or a maximum principle as it does for problems without the state...

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...

We consider a production-inventory planning problem with time-varying demands, convex production costs and a warehouse capacity constraint. It is solved by use of the Lagrangian form of the maximum principle. The possible existence of strong decision and forecast horizons is demonstrated. When...

This paper describes a maximum principle for distributed parameter systems, i.e. systems characterized by partial differential equations. The maximum principle is applied to solve the problem of a cattle rancher who must decide the number of cattle in different age groups to be bought and sold...