Seminar on Industrial Problems

Diffusion Approximations of Join-the-Least-Loaded Infinite Server Station

February 20, 1998

Presented by: Philip Fleming, Motorola

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We consider models of multicarrier IS-95 Cellular CDMA System under a "Weighted Least-Load" load-balancing algorithm and describe diffusion approximations for the joint probability mass function of the number of calls on each (radio) carrier. The underlying queueing model consists of a finite number of stations each having an infinite number of servers. New arrivals are either dedicated to a given station or are allowed to join the (weighted) least loaded station. The approximation has a particularly simple form and is quite accurate as will be demonstated by comparisons with simulation.