L = λ W: A Discounted Analogue and a New Proof

Shaler Stidham
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Shaler Stidham: Cornell University, Ithaca, New York

Operations Research, 1972, vol. 20, issue 6, 1115-1126

Abstract: This paper presents a discounted analogue to L = λ W , together with an application to a queuing optimization problem. This discounted analogue is used to construct a new proof of the classical (limiting average) version of L = λ W , using as hypotheses only that the limiting averages of λ and W exist and are finite.

Date: 1972
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