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150322s1972 xx |||||o 00| ||eng c |
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|a 10.2307/1425993
|2 doi
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|a (DE-627)JST00069116X
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|a (JST)1425993
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|a DE-627
|b ger
|c DE-627
|e rakwb
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|a eng
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1 |
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|a Stidham,, Shaler
|e verfasserin
|4 aut
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| 245 |
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|a Regenerative Processes in the Theory of Queues, with Applications to the Alternating-Priority Queue
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|c 1972
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| 336 |
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|a Text
|b txt
|2 rdacontent
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|a Computermedien
|b c
|2 rdamedia
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|a Online-Ressource
|b cr
|2 rdacarrier
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|a Using some well-known and some recently proved asymptotic properties of regenerative processes, we present a new proof in a general regenerative setting of the equivalence of the limiting distributions of a stochastic process at an arbitrary point in time and at the time of an event from an associated Poisson process. From the same asymptotic properties, several conservation equations are derived that hold for a wide class of GI/G/1 priority queues. Finally, focussing our attention on the alternating-priority queue with Poisson arrivals, we use both types of result to give a new, simple derivation of the expected steady-state delay in the queue in each class.
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|a Copyright 1972 Applied Probability Trust
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| 650 |
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4 |
|a Queuing theory
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| 650 |
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|a Priority queue
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| 650 |
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4 |
|a Alternating-priority queue
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| 650 |
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4 |
|a Zero switch rule
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| 650 |
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4 |
|a Regenerative process
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| 650 |
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4 |
|a Cumulative process
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| 650 |
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4 |
|a Conservation equations
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| 650 |
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4 |
|a Time averages and customer averages
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| 650 |
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4 |
|a Virtual and actual waiting time
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| 650 |
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4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Descriptive statistics
|x Statistical distributions
|x Distribution functions
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| 650 |
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4 |
|a Mathematics
|x Mathematical expressions
|x Equations
|x Conservation equations
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| 650 |
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4 |
|a Philosophy
|x Logic
|x Logical proofs
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| 650 |
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4 |
|a Mathematics
|x Pure mathematics
|x Probability theory
|x Random variables
|x Stochastic processes
|x Poisson process
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| 650 |
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4 |
|a Mathematics
|x Pure mathematics
|x Probability theory
|x Random variables
|x Stochastic processes
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| 650 |
|
4 |
|a Philosophy
|x Logic
|x Logical topics
|x Formal logic
|x Mathematical logic
|x Mathematical set theory
|x Mathematical sets
|x Borel sets
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| 650 |
|
4 |
|a Mathematics
|x Pure mathematics
|x Geometry
|x Geometric shapes
|x Curves
|x Asymptotes
|x Asymptotic properties
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| 650 |
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4 |
|a Mathematics
|x Pure mathematics
|x Probability theory
|x Random variables
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| 650 |
|
4 |
|a Mathematics
|x Mathematical expressions
|x Mathematical theorems
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| 650 |
|
4 |
|a Mathematics
|x Pure mathematics
|x Arithmetic
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| 655 |
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4 |
|a research-article
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|i Enthalten in
|t Advances in Applied Probability
|d Applied Probability Trust
|g 4(1972), 3, Seite 542-577
|w (DE-627)269247009
|w (DE-600)1474602-5
|x 00018678
|7 nnns
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| 773 |
1 |
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|g volume:4
|g year:1972
|g number:3
|g pages:542-577
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| 856 |
4 |
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|u https://www.jstor.org/stable/1425993
|3 Volltext
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| 856 |
4 |
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|u https://doi.org/10.2307/1425993
|3 Volltext
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|a AR
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|d 4
|j 1972
|e 3
|h 542-577
|