ABSTRACT

The times that people spend in each facility are independent and exponentially distributed, but the different sexes may have different averages. We assume that each type of arrival stream forms an independent Poisson process, and that the two lines (which are M/M/1 queues when viewed in isolation) have steady-state distributions; that is, the total arrival rate at each bathroom is less than its associated service rate. This chapter discusses the Flatto-Hahn-Wright model, whose original motivation was to study asymptotic correlations among parallel processors. The original motivation was to study asymptotic correlations among parallel processors. That is, if jobs arrive at a machine that consists of two processors, with some jobs requiring attention from both processors, what can you say about the backlog at one processor given that you know the other processor has a large backlog?.