Suboptimal switching control of queuing systems
Abstract
This paper is concerned with a problem of control in the queuing systems. Rather than deal with mean waiting time or average queue length, which is the most often used approach to this problem, it concentrates on transient states and minimizing probability of long queue. First a model of a queuing system with controlled service intensity is analyzed. Subsequently, a system with multiple service stations that can be switched in or off is introduced. For both systems, the optimal control problem is formulated in L1 space and necessary conditions for optimal control are presented.
