Inducing Optimal Service Capacities via Performance-Based Allocation of Demand in a Queueing System with Multiple Servers

In this paper, the authors study the use of performance-based allocation of demand in a multiple-server queuing system. The same problem with two servers has been studied in the literature. Specifically, it has been proposed and proved that the linear allocation and mixed threshold allocation policies are, respectively, the optimal state-independent and state-dependent allocation policy in the two-server case. The multiple-server linear allocation has also been shown to be the optimal state-independent policy with multiple servers. In their paper, they focus on the use of a multiple-server mixed threshold allocation policy to replicate the demand allocation of a given state-independent policy to achieve a symmetric equilibrium with lower expected sojourn time.