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150322s1984 xx |||||o 00| ||eng c |
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|a 10.2307/1427345
|2 doi
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|a (DE-627)JST000662127
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|a (JST)1427345
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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 Baccelli, F.
|e verfasserin
|4 aut
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|a Single-Server Queues with Impatient Customers
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|c 1984
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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
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|2 rdacarrier
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|a We consider a single-server queueing system in which a customer gives up whenever his waiting time is larger than a random threshold, his patience time. In the case of a GI/GI/1 queue with i.i.d. patience times, we establish the extensions of the classical GI/GI/1 formulae concerning the stability condition and the relation between actual and virtual waiting-time distribution functions. We also prove that these last two distribution functions coincide in the case of a Poisson input process and determine their common law.
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|a Copyright 1984 Applied Probability Trust
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| 650 |
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4 |
|a Queueing theory
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| 650 |
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|a Limited waiting times
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| 650 |
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|a Ergodic Markov chain
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| 650 |
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|a Actual waiting times
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| 650 |
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|a Virtual waiting times
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| 650 |
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4 |
|a Regenerative processes
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| 650 |
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4 |
|a Invariant measure
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| 650 |
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4 |
|a Functional equation
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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 Pure mathematics
|x Probability theory
|x Random variables
|x Stochastic processes
|x Markov processes
|x Markov chains
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| 650 |
|
4 |
|a Applied sciences
|x Systems science
|x Systems theory
|x Dynamical systems
|x Ergodic theory
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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 Pure mathematics
|x Calculus
|x Differential calculus
|x Differential equations
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| 650 |
|
4 |
|a Mathematics
|x Pure mathematics
|x Probability theory
|x Random variables
|x Stochastic processes
|x Queueing theory
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| 650 |
|
4 |
|a Philosophy
|x Logic
|x Metalogic
|x Logical truth
|x Sufficient conditions
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| 650 |
|
4 |
|a Mathematics
|x Pure mathematics
|x Probability theory
|x Random variables
|x Stochastic processes
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| 650 |
|
4 |
|a Mathematics
|x Pure mathematics
|x Calculus
|x Differential calculus
|x Differential equations
|x Volterra equations
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| 650 |
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4 |
|a Business
|x Business economics
|x Commercial production
|x Productivity
|x Labor productivity
|x Work quotas
|x Workloads
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| 655 |
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4 |
|a research-article
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| 700 |
1 |
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|a Boyer, P.
|e verfasserin
|4 aut
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| 700 |
1 |
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|a Hebuterne, G.
|e verfasserin
|4 aut
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| 773 |
0 |
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|i Enthalten in
|t Advances in Applied Probability
|d Applied Probability Trust
|g 16(1984), 4, Seite 887-905
|w (DE-627)269247009
|w (DE-600)1474602-5
|x 00018678
|7 nnns
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| 773 |
1 |
8 |
|g volume:16
|g year:1984
|g number:4
|g pages:887-905
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| 856 |
4 |
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|u https://www.jstor.org/stable/1427345
|3 Volltext
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| 856 |
4 |
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|u https://doi.org/10.2307/1427345
|3 Volltext
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|d 16
|j 1984
|e 4
|h 887-905
|