A distributional form of Little's law
type: Item
instance of: scholarly article
title: A distributional form of Little's law
zbMATH Open document ID: 0662.60104
DOI: 10.1016/0167-6377(88)90035-1
author: L. D. Servi
author: Julian Keilson
published in: Operations Research Letters
publication date: 1988-01-01T00:00:00Z
full work available at URL: http://hdl.handle.net/1721.1/5305
review text: Let N be the ergodic number of customers in a queueing system with Poisson arrival rate \(\lambda\) and T be the ergodic time spent by a customer in the system. The classical Little's law asserts that \(E[N]=\lambda E[T]\). By distributional form of the law one means that N is Poisson distributed with parameter \(\lambda\) T. Several aspects of this law are discussed.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 4082682
zbMATH Keywords: queueing system with Poisson arrival rate
zbMATH Keywords: Little's law
Wikidata QID: Q55969779
reviewed by: Anton Ştefănescu
MaRDI profile type: Publication
OpenAlex ID: W4214879293
cites work: Conservation Equations and Variance Reduction in Queueing Simulations
cites work: Q3946848
cites work: Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations
cites work: State Dependence in M/G/1 Server-Vacation Models
cites work: Optimal Operating Policies for M/G/1 Queuing Systems
cites work: Oscillating random walk models for GI/G/1 vacation systems with Bernoulli schedules
cites work: The preempt-resume M/G/1 queue with feedback and clocked schedules
cites work: Blocking Probability for M/G/1 Vacation Systems with Occupancy Level Dependent Schedules
cites work: Families of Infinitely Divisible Distributions Closed Under Mixing and Convolution
cites work: Efficient Estimators for Simulated Queueing Systems
cites work: A Proof for the Queuing Formula: L = λW
cites work: A Survey of J. Little's Formula
cites work: An N-Server Cutoff Priority Queue
cites work: Poisson Arrivals See Time Averages
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description: scientific article; zbMATH DE number 4082682