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150324s1986 xx |||||o 00| ||eng c |
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|a 10.2307/2582209
|2 doi
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|a (JST)2582209
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|a eng
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|a Guiasu, Silviu
|e verfasserin
|4 aut
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|a Maximum Entropy Condition in Queueing Theory
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|c 1986
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|a Text
|b txt
|2 rdacontent
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|a Computermedien
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|a The main results in queueing theory are obtained when the queueing system is in a steady-state condition and if the requirements of a birth-and-death stochastic process are satisfied. The aim of this paper is to obtain a probabilistic model when the queueing system is in a maximum entropy condition. For applying the entropic approach, the only information required is represented by mean values (mean arrival rates, mean service rates, the mean number of customers in the system). For some one-server queueing systems, when the expected number of customers is given, the maximum entropy condition gives the same probability distribution of the possible states of the system as the birth-and-death process applied to an M/M/1 system in a steady-state condition. For other queueing systems, as M/G/1 for instance, the entropic approach gives a simple probability distribution of possible states, while no close expression for such a probability distribution is known in the general framework of a birth-and-death process.
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|a Copyright 1986 Operational Research Society Limited
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|a Information Theory
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|a Non-Linear Optimization
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|a Probability
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| 650 |
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|a Queueing
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| 650 |
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|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Descriptive statistics
|x Statistical distributions
|x Distribution functions
|x Probability distributions
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| 650 |
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|a Physical sciences
|x Physics
|x Thermodynamics
|x Thermodynamic properties
|x Entropy
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| 650 |
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|a Mathematics
|x Pure mathematics
|x Probability theory
|x Random variables
|x Stochastic processes
|x Queueing theory
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| 650 |
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|a Physical sciences
|x Astronomy
|x Astronomical cosmology
|x Steady state theory
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| 650 |
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|a Mathematics
|x Applied mathematics
|x Information theory
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| 650 |
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|a Behavioral sciences
|x Psychology
|x Cognitive psychology
|x Decision theory
|x Operations research
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| 650 |
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|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Descriptive statistics
|x Statistical distributions
|x Distribution functions
|x Probability distributions
|x Mathematical moments
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| 650 |
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|a Applied sciences
|x Research methods
|x Modeling
|x Probabilistic modeling
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| 650 |
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|a Economics
|x Economic disciplines
|x Information economics
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| 650 |
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|a Health sciences
|x Medical sciences
|x Nutritional science
|x Nutritional status
|x Nutritional deficiencies
|x Malnutrition
|x Deficiency diseases
|x Protein deficiencies
|x Protein energy malnutrition
|x Theoretical Papers
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|a research-article
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|i Enthalten in
|t The Journal of the Operational Research Society
|d Taylor & Francis, Ltd.
|g 37(1986), 3, Seite 293-301
|w (DE-627)320465098
|w (DE-600)2007775-0
|x 14769360
|7 nnns
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1 |
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|g volume:37
|g year:1986
|g number:3
|g pages:293-301
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|u https://www.jstor.org/stable/2582209
|3 Volltext
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|u https://doi.org/10.2307/2582209
|3 Volltext
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|a AR
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|d 37
|j 1986
|e 3
|h 293-301
|