Queueing theory | ScienceGate

The Approximation of Sum of Independent Distributions by the Erlang Distribution Function

Nonlinear Analysis Modelling and Control ◽

10.15388/na.2002.7.1.15202 ◽

2002 ◽

Vol 7 (1) ◽

pp. 55-60 ◽

Cited By ~ 1

Author(s):

Antanas Karoblis

Keyword(s):

Distribution Function ◽

Exponential Distribution ◽

Queueing Theory ◽

Erlang Distribution ◽

Estimation Of Error

The exponential distribution and the Erlang distribution function are been used in numerous areas of mathematics, and specifically in the queueing theory. Such and similar applications emphasize the importance of estimation of error of approximation by the Erlang distribution function. The article gives an analysis and technique of error’s estimation of an accuracy of such approximation, especially in some specific cases.

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Topics in queueing theory

10.31274/etd-180810-5150 ◽

2017 ◽

Author(s):

Keguo Huang

Keyword(s):

Queueing Theory

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Book Review:Introduction to Queueing Theory. Robert B. Cooper

The Journal of Business ◽

10.1086/295598 ◽

1973 ◽

Vol 46 (4) ◽

pp. 649

Author(s):

E. G. Coffman, Jr.

Keyword(s):

Queueing Theory

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Simulation and Queueing Theory Applied to a Single-server Queue with Advertising and Balking

Journal of the Operational Research Society ◽

10.1038/sj/jors/0440409 ◽

1993 ◽

Vol 44 (4) ◽

pp. 407-414 ◽

Cited By ~ 7

Author(s):

A van Ackere ◽

P Ninios

Keyword(s):

Queueing Theory ◽

Single Server ◽

Single Server Queue ◽

Server Queue

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A Queueing Theory Approach to Railway Capacity in Urban Commuter Railways

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)67303-8 ◽

1976 ◽

Vol 9 (4) ◽

pp. 267-276

Author(s):

Phillip Rice

Keyword(s):

Queueing Theory ◽

Theory Approach ◽

Railway Capacity

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Application of Lean Six Sigma Methodology and Queueing Theory to Minimize Systemic Variability: A Case Study from Public Services

2020 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM) ◽

10.1109/ieem45057.2020.9309995 ◽

2020 ◽

Author(s):

F. P. Santhiapillai ◽

R. M. Chandima Ratnayake

Keyword(s):

Six Sigma ◽

Queueing Theory ◽

Public Services ◽

Lean Six Sigma ◽

Six Sigma Methodology

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Brief review: Computer Networks & Systems: Queueing Theory and Performance Evaluation by Thomas Robertazzi (Springer-Verlag, 1990)

ACM SIGMETRICS Performance Evaluation Review ◽

10.1145/122564.1045498 ◽

1991 ◽

Vol 19 (2) ◽

pp. 12

Author(s):

David Finkel

Keyword(s):

Performance Evaluation ◽

Computer Networks ◽

Queueing Theory ◽

And Performance

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Application of delay differential equation in queueing theory

10.1063/5.0028540 ◽

2020 ◽

Author(s):

R. Manimaran ◽

Er. M. Aravind

Keyword(s):

Differential Equation ◽

Delay Differential Equation ◽

Queueing Theory ◽

Delay Differential

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A useful relationship between epidemiology and queueing theory: The distribution of the number of infectives at the moment of the first detection

Mathematical Biosciences ◽

10.1016/j.mbs.2009.02.001 ◽

2009 ◽

Vol 219 (1) ◽

pp. 15-22 ◽

Cited By ~ 18

Author(s):

Pieter Trapman ◽

Martinus Christoffel Jozef Bootsma

Keyword(s):

Queueing Theory ◽

The Moment

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The solution of an infinite set of differential-difference equations occurring in polymerization and queueing problems

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s0305004100002061 ◽

1963 ◽

Vol 59 (1) ◽

pp. 117-124 ◽

Cited By ~ 4

Author(s):

A. Wragg

Keyword(s):

Difference Equations ◽

Queueing Theory ◽

Bessel Functions ◽

Formal Solution ◽

Monomer Concentration ◽

Arrival Rate ◽

Time Dependent ◽

Type Integral ◽

Dependent Parameter ◽

Infinite Set

AbstractThe time-dependent solutions of an infinite set of differential-difference equations arising from queueing theory and models of ‘living’ polymer are expressed in terms of modified Bessel functions. Explicit solutions are available for constant values of a parameter describing the arrival rate or monomer concentration; for time-dependent parameter a formal solution is obtained in terms of a function which satisfies a Volterra type integral equation of the second kind. These results are used as the basis of a numerical method of solving the infinite set of differential equations when the time-dependent parameter itself satisfies a differential equation.

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