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150324s1995 xx |||||o 00| ||eng c |
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|a 10.2307/2583993
|2 doi
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|a (DE-627)JST050642685
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|a (JST)2583993
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|a DE-627
|b ger
|c DE-627
|e rakwb
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|a eng
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|a Arizono, Ikuo
|e verfasserin
|4 aut
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|a An Analysis of the E<sub>l</sub>/E<sub>k</sub>/1 Queueing System by Restricted Minimal Lattice Paths
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|c 1995
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|a Text
|b txt
|2 rdacontent
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|a Computermedien
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|a Online-Ressource
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|a The usual procedure for obtaining the equilibrium probability distribution of the queue length in a queueing system is by constructing and solving the difference-differential equations. In this paper, a new approach for deriving the equilibrium probability distributions of the queue length in the M/M/1, M/E<sub>k</sub>/1 and E<sub>l</sub>/E<sub>k</sub>/1 queueing systems is presented, based on the generating function of the number of the minimal lattice paths. The proposed procedure obtains the equilibrium probability distribution more easily than the usual procedure, which solves difference-differential equations.
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|a Copyright 1995 Operational Research Society Ltd
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|a Combinatorial Theory
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|a Equilibrium Probability Distribution
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|a Minimal Lattice Paths
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|a Queueing Systems
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|a Mathematics
|x Mathematical expressions
|x Mathematical functions
|x Hypergeometric functions
|x Generating function
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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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|a Philosophy
|x Logic
|x Logical topics
|x Formal logic
|x Mathematical logic
|x Mathematical set theory
|x Lattice theory
|x Mathematical lattices
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|a Mathematics
|x Pure mathematics
|x Discrete mathematics
|x Number theory
|x Numbers
|x Real numbers
|x Rational numbers
|x Integers
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|a Mathematics
|x Pure mathematics
|x Geometry
|x Coordinate systems
|x Cartesian coordinates
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|a Behavioral sciences
|x Psychology
|x Cognitive psychology
|x Decision theory
|x Operations research
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|a Mathematics
|x Mathematical procedures
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|a Mathematics
|x Pure mathematics
|x Geometry
|x Euclidean geometry
|x Geometric lines
|x Parallel lines
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|a Mathematics
|x Pure mathematics
|x Geometry
|x Euclidean geometry
|x Plane geometry
|x Geometric planes
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|a Social sciences
|x Communications
|x Semiotics
|x Symbolism
|x Theoretical Papers
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|a research-article
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|a Ohta, Hiroshi
|e verfasserin
|4 aut
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|a Deutsch, Stuart J.
|e verfasserin
|4 aut
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|a Wang, Ching-Cheng
|e verfasserin
|4 aut
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|i Enthalten in
|t The Journal of the Operational Research Society
|d Taylor & Francis, Ltd.
|g 46(1995), 2, Seite 245-253
|w (DE-627)320465098
|w (DE-600)2007775-0
|x 14769360
|7 nnns
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|g volume:46
|g year:1995
|g number:2
|g pages:245-253
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|u https://www.jstor.org/stable/2583993
|3 Volltext
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|u https://doi.org/10.2307/2583993
|3 Volltext
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|a AR
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|d 46
|j 1995
|e 2
|h 245-253
|