1887

n South African Journal of Industrial Engineering - Approximations to performance measures in queuing systems : general articles

 

Abstract

Approximations to various performance measures in queuing systems have received considerable attention because these measures have wide applicability. In this paper we propose two methods to approximate the queuing characteristics of a system. The first method is non-parametric in nature, using only the first three moments of the arrival distribution. The second method treads the known path of approximating the arrival distribution - by a mixture of two exponential distributions - by matching the first three moments. Numerical examples and optimal analysis of performance measures of queues are provided to illustrate the efficacy of the methods, and are compared with benchmark approximations.

Benaderings tot verskeie prestasiemaatstawwe in toustaanstelsels ontvang beduidende aandag weens die wye toepasbaarheid daarvan. In hierdie artikel word twee metodes voorgestel om die toustaaneienskappe van die -stelsel te benader. Die eerste metode is nie-parametries van aard en gebruik slegs die eerste drie momente van die aankomsverdeling. Die tweede metode volg die bekende roete om die aankomsverdeling te benader deur die eerste drie momente te pas, deur middel van 'n kombinasie van twee eksponensiёle verdelings. Die doelteffendheid van die metodes word aan die hand van numeriese voorbeelde en optimale ontleding van die prestasiemaatstawwe van -stelsels bewys, en word vergelyk met benaderings.

Loading

Article metrics loading...

/content/indeng/23/3/EJC128182
2012-11-01
2016-12-08
This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error