We extend the existing work on the time-optimal control of the basic SIR epidemic model with mass action contact rate. Previous results have focused on minimizing an objective function that is a linear combination of the cost associated with using control and either the outbreak size or the infectious burden. We instead, provide analytic solutions for the control that minimizes the outbreak siz...

We discuss one aspect of the allocation of new scientists to teaching and research careers. In the past, this allocation problem was treated on the basis of a model with kown constant parameters and as a classical open-loop optimal control problem with the allocation ratio as the sole control variable. The utility function in that treatment took both short term and long term goals into account....

For a general H 2 optimal control problem, at rst all H 2 optimal measurement feedback controllers are characterized and parameterized, and then attention is focused on controllers with observer based architecture. Both full order as well as reduced order observer based H 2 optimal controllers are characterized and parameterized. Also, systematic methods of designing them are presented. An impo...

We study a two-sided, one-to-one matching market with a finite number of agents, candidates and firms. There is incomplete information on both sides of the market and, a priori, candidates are uncertain about their own characteristics. We present a model and methods that allow to analyze the value of information in matching tournaments in which agents engage in wasteful signaling to compete for...

Most manufacturing systems are large and complex and operate in an uncertain environment. One approach to managing such systems is that of hierarchical decomposition. This paper reviews the research devoted to proving that a hierarchy based on the frequencies of occurrence of different types of events in the systems results in decisions that are asymptotically optimal as the rates of some event...

In this report the problem of sequential detection and estimation of change-points is considered. The sense of this problem is as follows: in practice after raising an alarm signal about a change it is often required to divide the whole obtained sequential sample into subsamples of observations before and after an unknown change-point. In this report asymptotically optimal methods are proposed ...

We consider optimal control of a multi-class queue in the Halfin–Whitt regime, and revisit the notion of asymptotic optimality and the associated optimality gaps. The existing results in the literature for such systems provide asymptotically optimal controls with optimality gaps of o( √ n) where n is the system size, for example, the number of servers. We construct a sequence of asymptotically ...

Based on the uncertain optimal control with jump, in this paper, we study a special optimal control problem: linear quadratic uncertain optimal control problem with jump which has a quadratic objective functional for a linear uncertain control system with jump. We obtain the necessary and sufficient conditions for the existence of optimal control.