An integral equation for the steady-state waiting-time distribution in the general single-server G/G/1 queueing system. If W q(x), x ≥ 0, is the steady-state distribution function of the delay or waiting time in the queue, then, for x ≥ 0,
with W q(x) = 0 for x < 0, where the function U(y) is the distribution function of the random variable defined as the service time minus the interarrival time. Queueing theory.
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© 2001 Kluwer Academic Publishers
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Gass, S.I., Harris, C.M. (2001). Lindley's equation . In: Gass, S.I., Harris, C.M. (eds) Encyclopedia of Operations Research and Management Science. Springer, New York, NY. https://doi.org/10.1007/1-4020-0611-X_538
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DOI: https://doi.org/10.1007/1-4020-0611-X_538
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Publisher Name: Springer, New York, NY
Print ISBN: 978-0-7923-7827-3
Online ISBN: 978-1-4020-0611-1
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