Publication Type
Journal
Journal Name
IEEE Transactions on Automatic Control
Publication Date
Page Numbers
2756 to 2765
Volume
61
Issue
10
Abstract
We address the problem of minimizing the long-run expected average cost of a complex system consisting of inter- active subsystems. We formulate a multiobjective optimization problem of the one-stage expected costs of the subsystems and provide a duality framework to prove that the control policy yielding the Pareto optimal solution minimizes the average cost criterion of the system. We provide the conditions of existence and a geometric interpretation of the solution. For practical situations with constraints consistent to those studied here, our results imply that the Pareto control policy may be of value when we seek to derive online the optimal control policy in complex systems.