M/M/s/s+c queueing system revisited

The generalized Erland loss function, extensively studied in the literature, is revisited. The paper studies the steady state loss probability in M/M/s/s+c queueing system and prove that it satisfies the first and second order properties in integral number of servers as well as integral queue capacities. Also it studies the problem of allocating integral number of servers and queue capacities, and develops an algorithm to obtain an optimal allocation of them individually and jointly with the small number of computations. [In Korean.]