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Abstract
In this paper, a facility location model with Poisson arrivals, multiple exponential servers and a mesh-type customer region is considered. Each customer first goes to the nearest facility, but the facility is crowded and the expected total required time consisting of round trip time to facility and sojourn time may become longer than that for the other facility, and then the customer changes the facility to the latter. Stable customer regions for facilities in equilibrium are derived under a fixed allocation, and they are applied to the facility location problem. The effect of server allocation to facilities is also investigated.
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