question archive Suppose that a surgeon can perform m=1 elective surgeries

Suppose that a surgeon can perform m=1 elective surgeries

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Suppose that a surgeon can perform m=1 elective surgeries. Every day, K (a random variable) new cases are added to the waiting list, with its p.m.f. given by Ok:=P(K = k), k=0,1..... Suppose that E(K)<m. a) Derive of the steady-state probabilities To, ...si..... Note that we should develop their expressions based on the or's. (Recall that mi is the probability of having i customers on the waiting list in the long- run.) b) Now consider the general case with m > 1. What is the 1-step transition probability Pij?

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