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.

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.

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.

Modeling multi-state system reliability analysis in a power station under fatal and nonfatal shocks: a simulation approach

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Mohammad Reza Pourhassan ◽  
Sadigh Raissi ◽  
Arash Apornak
Keyword(s):  
Reliability Analysis ◽  
System Reliability ◽  
System Performance ◽  
Failure Process ◽  
State System ◽  
Failure Behavior ◽  
Simulation Approach ◽  
Critical System ◽  
Content Type ◽  
System Reliability Analysis

PurposeIn some environments, the failure rate of a system depends not only on time but also on the system condition, such as vibrational level, efficiency and the number of random shocks, each of which causes failure. In this situation, systems can keep working, though they fail gradually. So, the purpose of this paper is modeling multi-state system reliability analysis in capacitor bank under fatal and nonfatal shocks by a simulation approach.Design/methodology/approachIn some situations, there may be several levels of failure where the system performance diminishes gradually. However, if the level of failure is beyond a certain threshold, the system may stop working. Transition from one faulty stage to the next can lead the system to more rapid degradation. Thus, in failure analysis, the authors need to consider the transition rate from these stages in order to model the failure process.FindingsThis study aims to perform multi-state system reliability analysis in energy storage facilities of SAIPA Corporation. This is performed to extract a predictive model for failure behavior as well as to analyze the effect of shocks on deterioration. The results indicate that the reliability of the system improved by 6%.Originality/valueThe results of this study can provide more confidence for critical system designers who are engaged on the proper system performance beyond economic design.

Thermal Power Plant Modelling with Fault Coverage Stochastically

2016 ◽  
Vol 6 (3) ◽  
pp. 28-44
Author(s):  
Nupur Goyal ◽  
Mangey Ram ◽  
Akshay Bhardwaj ◽  
Amit Kumar
Keyword(s):  
Power Plant ◽  
Thermal Power Plant ◽  
Thermal Power ◽  
Research Work ◽  
Fault Coverage ◽  
Supplementary Variable ◽  
Reliability Measures ◽  
Variable Technique ◽  
Complex Process ◽  
Plant Modelling

The present research work proposes a mathematical model of thermal power plant to analyse its performance through reliability measures. Evaluation of reliability measure for thermal power plant is a complex process. The thermal power plant is modelled using Markov process and explored the reliability measures with supplementary variable technique. Also the expected profit to the operation and maintenance of the thermal power plant has been discussed. Failures exist in the thermal power plant affect the performance of the plant, so, to enhance the performance of the plant, authors employs fault coverage technique and demonstrated the effect of fault coverage and component failure on reliability measures graphically by taken some numerical examples for the practical utility.

Optimum Positioning of Ports in the Limaçon Gas Expanders

2011 ◽  
Vol 133 (10) ◽  
Author(s):  
Ibrahim A. Sultan ◽  
Carl G. Schaller
Keyword(s):  
System Performance ◽  
Optimization Technique ◽  
Optimization Procedure ◽  
Operating Parameters ◽  
Phase Flow ◽  
Two Phase ◽  
Positive Displacement ◽  
Micropower Generation ◽  
Insight Into

Positive displacement expanders are quickly gaining popularity in the fields of micropower generation and refrigeration engineering. Unlike turbomachines, expanders can handle two-phase flow applications at low speed and flow rate levels. This paper is concerned with a simple-design positive displacement expander based on the limaçon of Pascal. The paper offers an insight into the thermodynamic workings of the limaçon gas expander and presents a mathematical model to describe the manner in which the port locations affect the expander performance. A stochastic optimization technique is adopted to find the locations, for the expander ports, which produce best expander performance for given chamber dimensions. The operating speed and other parameters will be held constant during the optimization procedure. A case study is offered in this paper to prove the validity of the presented approach, and comments are given on how various operating parameters affect system performance in the limaçon design.

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