An extension of Erlang's loss formula

Ronald W. Wolff · Charles W. Wrightson

15 citations0/0 files storedJournal of Applied Probability

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Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

Abstract

A two-server loss system is considered with N classes of Poisson arrivals, where the service distribution function and server preferences are arrival-class dependent. The stationary state probabilities are derived and found to be independent of the form of the service distributions.

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References

1961A Proof for the Queuing Formula: L = λ W 1961A PROOF OF THE QUEUING FORMULA 1972Response Areas for Two Emergency Units 1972Methods for Allocating Urban Emergency Units: A Survey 1972Regenerative processes in the theory of queues, with applications to the alternating-priority queue 1969On Erlang's Formula 1970Work-conserving priorities 1972An extension of Erlang's formulas which distinguishes individual servers

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1985Locating an n-server facility in a stochastic environment 1989Insensitivity of processes with interruptions 1983Stationary queuing systems with dependencies 2007MINIMIZING LOSS PROBABILITY IN QUEUING SYSTEMS WITH HETEROGENEOUS SERVERS 1988The basic equations for a supplemented GSMP and its applications to queues

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