Date of Award

May 2020

Document Type


Degree Name

Master of Science (MS)


Mathematical Sciences

Committee Member

Xin Liu

Committee Member

Peter Kiessler

Committee Member

Brian Fralix


We consider a two class, many-server queueing system which allows for customer abandonment and class changes. With the objective to minimize the long-run average holding cost, we formulate a stochastic queueing control problem. Instead of solving this directly, we apply a fluid scaling to obtain a deterministic counterpart to the problem. By considering the equilibrium of the deterministic solution, we can solve the resulting control problem, referred to as the equilibrium control problem (ECP), and use the solution to propose a priority policy for the original stochastic queueing system. We prove that in an overloaded system, under a fluid scaling, our policy is asymptotically optimal as it attains the lower bound formed by the solution of the ECP.



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