An Extension of Erlang's Formulas Which Distinguishes Individual Servers

by Jan M. Chaiken, Edward Ignall

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The mathematical proof of a result used in R-532 — concerning the areas served by two emergency units — together with related findings about certain n-unit systems. For a model in which the units cooperate in responding to calls in a region, the steady-state probability of finding a particular unit or specified combinations of units busy is found for an arbitrary service-time distribution. (See also R-531, R-532, R-533.)

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