Question: In a service centre with s different counters, customers arrive at the times of independent Poisson processes .N .i/ t /t0 with intensities .i/ >

In a service centre with s different counters, customers arrive at the times of independent Poisson processes .N .i/

t /t0 with intensities ˛.i/ > 0, 1 i s. At time t , you observe that a total of n customers is waiting. What is the conditional distribution of the s-tuple of the customers waiting in front of each of the counters?

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