scholarly journals ANALYSIS OF QUEUEING MODEL WITH PRIORITY SCHEDULING BY SUPPLEMENTARY VARIABLE METHOD

2013 ◽  
Vol 31 (1_2) ◽  
pp. 147-154
Author(s):  
Doo Il Choi
Keyword(s):  
Variable Method ◽  
Queueing Model ◽  
Supplementary Variable ◽  
Priority Scheduling ◽  
Supplementary Variable Method

scholarly journals Supplementary variable method applied to the MAP/G/1 queueing system

1998 ◽  
Vol 40 (1) ◽  
pp. 86-96 ◽  
Author(s):  
Bong Dae Choi ◽  
Gang Uk Hwang ◽  
Dong Hwan Han
Keyword(s):  
Steady State ◽  
Generating Function ◽  
Service Time ◽  
Queue Length ◽  
Queueing System ◽  
Variable Method ◽  
Supplementary Variable ◽  
Supplementary Variable Method ◽  
One Dimensional

AbstractIn this paper we consider the MAP/G/1 queueing system with infinite capacity. In analysis, we use the supplementary variable method to derive the double transform of the queue length and the remaining service time of the customer in service (if any) in the steady state. As will be shown in this paper, our method is very simple and elegant. As a one-dimensional marginal transform of the double transform, we obtain the generating function of the queue length in the system for the MAP/G/1 queue, which is consistent with the known result.

scholarly journals Analysis of an N/G/1 finite queue with the supplementary variable method

1999 ◽  
Vol 12 (4) ◽  
pp. 429-434 ◽  
Author(s):  
Gyemin Lee ◽  
Jongwoo Jeon
Keyword(s):  
Service Time ◽  
Queue Length ◽  
Computational Algorithm ◽  
Length Distribution ◽  
Joint Density ◽  
Variable Method ◽  
Supplementary Variable ◽  
New Approach ◽  
Supplementary Variable Method ◽  
Queue Length Distribution

In this paper, we suggest a new approach to the analysis of an N/G/1 finite queue with the supplementary variable method. Compared to the conventional approach, our approach yields a simpler formula for the queue length distribution, which in turn gives a more efficient computational algorithm. Also, the new approach enables us to derive the joint density of the queue length and the elapsed service time.

Reliability analysis of M/G/1 queueing systems with server breakdowns and vacations

1997 ◽  
Vol 34 (2) ◽  
pp. 546-555 ◽  
Author(s):  
Wei Li ◽  
Dinghua Shi ◽  
Xiuli Chao
Keyword(s):  
Reliability Analysis ◽  
System Performance ◽  
Queueing Systems ◽  
Variable Method ◽  
Supplementary Variable ◽  
Transient Solution ◽  
Reliability Measures ◽  
Supplementary Variable Method ◽  
Insight Into

This note introduces reliability issues to the analysis of queueing systems. We consider an M/G/1 queue with Bernoulli vacations and server breakdowns. The server uptimes are assumed to be exponential, and the server repair times are arbitrarily distributed. Using a supplementary variable method we obtain a transient solution for both queueing and reliability measures of interest. These results provide insight into the effect of server breakdowns and repairs on system performance.

Reliability analysis of M/G/1 queueing systems with server breakdowns and vacations

1997 ◽  
Vol 34 (02) ◽  
pp. 546-555 ◽  
Author(s):  
Wei Li ◽  
Dinghua Shi ◽  
Xiuli Chao
Keyword(s):  
Reliability Analysis ◽  
System Performance ◽  
Queueing Systems ◽  
Variable Method ◽  
Supplementary Variable ◽  
Transient Solution ◽  
Reliability Measures ◽  
Supplementary Variable Method ◽  
Insight Into

This note introduces reliability issues to the analysis of queueing systems. We consider an M/G/1 queue with Bernoulli vacations and server breakdowns. The server uptimes are assumed to be exponential, and the server repair times are arbitrarily distributed. Using a supplementary variable method we obtain a transient solution for both queueing and reliability measures of interest. These results provide insight into the effect of server breakdowns and repairs on system performance.

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