scholarly journals Probabilistic approach to performance evaluation of a series-parallel system

2017 ◽  
Vol 6 (3) ◽  
pp. 74
Author(s):  
Saminu I. Bala ◽  
Ibrahim Yusuf

The paper deals with modeling and performance evaluation of a series-parallel system using Markov Birth-Death process and probabilistic approach. The system consists of four subsystems arranged in series-parallel with three possible states, working with full capacity, reduced capacity and failed. Through the transition diagrams, systems of differential equations are developed and solved recursively via probabilistic approach. Explicit expressions for steady-state availability are de-rived. Availability matrices for each subsystem have been developed to provide various performance values for different combinations of failure and repair rates of all subsystems. The results from this paper will enhance the system performance and useful for timely execution of proper maintenance improvement, decision, planning and optimization.

2017 ◽  
Vol 6 (3) ◽  
pp. 80
Author(s):  
Suleiman K ◽  
Ibrahim Yusuf ◽  
U.A. Ali ◽  
A. D Koko ◽  
Saminu I Bala

The paper deals with availability comparison between three dissimilar photovoltaic configurations using Markov Birth-Death process and probabilistic approach. The configurations consist of four subsystems arranged in series-parallel with three possible states; working with full capacity, reduced capacity and failed. Through the transition diagrams, systems of differential equations are developed and solved recur-sively via probabilistic approach. Explicit expressions for steady-state availability are derived. Availability matrices for each subsystem have been developed to provide various performance values for different combinations of failure and repair rates of all subsystems. Furthermore, we compare the availability for the three configurations and find that configuration III is more reliable than system, I and II. The results have shown that the system availability increases with increase in redundant units. The results of this paper will enhance the system performance and useful for timely execution of proper maintenance improvement, decision, planning and optimization.


2017 ◽  
Vol 6 (3) ◽  
pp. 67
Author(s):  
Saminu I. Bala ◽  
Ibrahim Yusuf ◽  
Yasin Ali Nuhu

The paper deals with modeling and performance evaluation of a series-parallel with independent failures using Markov Birth-Death process and probabilistic approach. The system consists of three subsystems arranged in series and parallel configurations with three possible states, working, reduced capacity and failed. Through the transition diagram, systems of differential equations are developed and solved recursively via probabilistic approach. Failure and repair rates for all the subsystems are assumed constant. Availability and profit matrices for each subsystem have been developed to provide various performance values for different combinations of failure and repair rates of all subsystems. Performance of each subsystem of series-parallel system is evaluated. The present study will help the plant management in understanding the optimum system availability and profit to be achieved, and the maintenance efforts needed to maintain an appropriate level of availability and profit and useful for timely execution of proper maintenance improvement, decision, planning and optimization.


2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Takahiko Tsujisawa ◽  
Kazuhiro Yamakawa

We propose a sensor consisting of small-sized coils connected in series and a detection method for the sensor based on the iteration of the periodic time difference. The evaluation results are also presented and show the effectiveness of the proposed system. The target performance of the sensor is as follows: (i) a detection range from 0 to ±100 Nm, (ii) a hysteresis error of less than 1%, (iii) an angular-dependent noise of less than 2%, and (iv) a sensor drift of less than 2%. From the evaluation results, it is clear that these performance targets, as well as a sufficient response time, are realized.


2011 ◽  
Vol 301-303 ◽  
pp. 1202-1207
Author(s):  
Xue Mei Hou ◽  
Lei Yu ◽  
Zhi Bo Li ◽  
Zhu Ping Du ◽  
Bai You Lian

Nowadays, the parallel system performance evaluation is the hot spot topic. It’s helpful to improve the parallel system performance to establish a scientific evaluation model. In this paper, using of analytic hierarchy process and the fuzzy mathematics theory, the multi-level fuzzy synthetic evaluation model is established, the performance index system is defined and the parallel system performance evaluation process is realized.


1970 ◽  
Vol 41 (1) ◽  
pp. 71-79 ◽  
Author(s):  
Deepika Garg ◽  
Kuldeep Kumar ◽  
Jai Sigh

This paper discusses a decision support system for a Tab manufacturing plant. Tab manufacturing mainly consists of six subsystems working in series .Two subsystems namely Grinding machine, Electroplating machine are supported by stand-by units with perfect switch over devices and the remaining four subsystem are prone to failure. The mathematical model of Tab manufacturing plant has been developed using Markov birth – death Process. The differential equations has been developed on the basis of probabilistic approach using transition diagram which are further solved for steady state availability in order to develop the decision matrices which provide the various availability levels for different combinations of failure and repair rates of each subsystem.Key words: Availability; Differential Equations; Markov process; Steady StateDOI: 10.3329/jme.v41i1.5365Journal of Mechanical Engineering, Vol. ME 41, No. 1, June 2010 71-79


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