PROCESSOR-SHARING OF TWO PARALLEL LINES.

Alan G. Konheim; Isaac Meilijson; Abraham Melkman

doi:10.1017/S0021900200034318

PROCESSOR-SHARING OF TWO PARALLEL LINES.

Alan G. Konheim^*, Isaac Meilijson, Abraham Melkman

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

An exponential server splits its service capacity between two independent Poisson streams of customers, unless one queue is empty, in which case the full service capacity is granted to the other queue. The stationary joint generating function of the two queue sizes is presented explicitly in the form of an elliptic integral.

Original language	English
Pages (from-to)	952-956
Number of pages	5
Journal	Journal of Applied Probability
Volume	18
Issue number	4
DOIs	https://doi.org/10.1017/S0021900200034318
State	Published - 1981

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title = "PROCESSOR-SHARING OF TWO PARALLEL LINES.",

abstract = "An exponential server splits its service capacity between two independent Poisson streams of customers, unless one queue is empty, in which case the full service capacity is granted to the other queue. The stationary joint generating function of the two queue sizes is presented explicitly in the form of an elliptic integral.",

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PROCESSOR-SHARING OF TWO PARALLEL LINES.

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