The Pareto Distribution as a Queue Service Discipline

Published Online:https://doi.org/10.1287/opre.16.2.307

A queuing system is described in which service times are conditioned upon a random parameter μ, such that the conditional service distribution is exponential and μ has a gamma density. It is shown that the resultant unconditional distribution of service times is Paretian. Several measures of effectiveness are discussed and the question of statistical estimation of service parameters is also explored.

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