Beta
ManageSearchChatDiscover
314433

Simulation Study for Nonparametric (M/ Gk/k): (FCFS/∞/∞) Queueing Models

Article

Last updated: 05 Jan 2025

OverviewSimilar Items

Subjects

-

Tags

-

Abstract

In this paper, (M/Gk/k): (FCFS/∞/∞) queueing systems are considered. Two nonparametric positive skewed probability distributions for service times are suggested to build a simulation model for (M/Gk/k). (FCFS/∞/∞) queueing systems when k≥1; and the special case (M/Gk/k): (FCFS/∞/∞). using the suggested nonparametric service time distributions, it is possible: to generate a large number of random variable values then construct a large number of experiments, to estimate the probability distribution of the customer's number in the system, and to obtain the performance measures of the system and derivate its confidence intervals. In addition, an algorithm is presented to obtain the output of the suggested simulation model. A comparative study is accomplished to compare the output of the suggested nonparametric simulation model and the output of the experimental simulation model via four numerical examples.  

DOI

10.21608/esju.2013.314433

Keywords

(M/ Gk/K): (FCFS/∞/∞), (M/G/K): (FCFS/∞/∞) Systems, Nonparametric Density Function, Monte Carlo method, Stationary and Non, Stationary States, Measures of Performance, Confidence intervals, Independent Replications Method, Percentile Bootstrap Method

Volume

57

Article Issue

2

Related Issue

43115

Issue Date

2013-12-01

Publish Date

2013-12-01

Page Start

25

Page End

52

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314433.html

Detail API

https://esju.journals.ekb.eg/service?article_code=314433

Order

3

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Simulation Study for Nonparametric (M/ Gk/k): (FCFS/∞/∞) Queueing Models

Details

Type

Article

Created At

28 Dec 2024