Dynamic Allocation of Reconfigurable Resources in a Two-Stage Tandem Queueing System with Reliability Considerations,

Mark E. Lewis
Industrial and Operations Engineering Department
University of Michigan
1205 Beal Avenue
Ann Arbor, MI 48109-2117

Cheng-Hung Wu

Industrial and Operations Engineering Department
University of Michigan
1205 Beal Avenue
Ann Arbor, MI 48109-2117

wuch 'at' umich 'dot' edu

Consider a two stage tandem queueing system, with dedicated
machines in each stage. Additional reconfigurable resources can be
assigned to one of these two stations without setup cost and time.
In a clearing system model (without external arrivals) both with
and without failures of the dedicated machines, we show the
existence of an optimal transition monotone policy. Moreover, the
switching curve defined by this policy has slope greater than or
equal to -1.