Improving Industrial Systems Reliability — An Application in Sugar Industry

2019 ◽  
Vol 04 (04) ◽  
pp. 1950011 ◽  
Author(s):  
Ramesh Kumar ◽  
M. S. Kadyan

To improve the reliability of the industrial systems, the main requirement is to identify the most expected failures and to minimize the effects of such failures. This can be achieved through availability evaluation of the systems of the industry. Here, the performance analysis of molasses (by-product of sugarcane) making system is carried out. The system consists of four subsystems, namely: Crystallizer, C-fore worker, C-after Worker and Melter. Functioning of these subsystems is in series and within subsystems have different working configurations. Equations associated with the system model are developed and solved to get the state probabilities by using supplementary variable technique. A particular case is also considered to show the availability and expected behavior of the molasses making system. Numerical results are obtained to explain the effect of subsystems working behavior.

2018 ◽  
Vol 03 (01) ◽  
pp. 1850004 ◽  
Author(s):  
Ramesh Kumar ◽  
M. S. Kadyan

In this paper, a reliability model for evaporation system in sugar industry is developed to accomplish performance evolution. This system consists of three subsystems, namely evaporator, syrup sulphitor and sulphited syrup. These subsystems are working in series. Failure time distribution of subsystems is exponential, whereas repair time distribution of subsystems is arbitrary. The differential difference equations associated with state changeover model of the system are developed by using supplementary variable technique and solved to get state probabilities of the system model. The results for some measures (availability and profit) of system performance are obtained in steady state. A particular case is also considered to show the behavior of availability and profit analysis of the evaporation system.


This article take a gander at a bunch area single server channel Queuing system, where the server gives two sorts of organizations viz., beginning one a central organization and the optional organization is permitted as a second organization. In case in need, the customer settle on the optional organization .We other than anticipate that after the execution of the second time of affiliation, if the structure is unfilled, the server takes a required get-away of general dissemination. Organization thwarts in the midst of principal organization at random. Additionally if the customer isn't satisfied with the primary central organization, an info advantage for the proportionate is given to make a worthy space for the customers in the system. For the above delineated covering issue, the supplementary variable technique and generating function approach are used to derive the probability generating function of the queue size and the average length of the queue.


2019 ◽  
Vol 36 (6) ◽  
pp. 895-916
Author(s):  
Neelam Chantola ◽  
S.B. Singh

Purpose The purpose of this paper is to study various reliability measures like reliability, mean time to failure (MTTF) and sensitivity of transformer including different parameters of insulating oil/paper as health index. Design/methodology/approach The reliability characteristics of transformer incorporating different parameters of insulating oil as well as paper have been evaluated using Markov process incorporating Gumbel–Hougaard copula, Laplace transforms and supplementary variable technique. The parameters taken into consideration are breakdown voltage (BDV) and moisture content (MC) of both insulating oil and paper, and other parameters considered are interfacial tension (IFT), dissipation factor (DF), degree of polymerization (DOP) and furanic content (FC) for insulating oil and paper, respectively. By probability consideration and continuity influence, difference-differential equations have been obtained for the considered model. Findings Transition state probabilities, reliability, MTTF and sensitivity of the transformer corresponding to different parameters of insulating oil and paper have been evaluated with the help of aforementioned technique. Variations of reliability with respect to time along with the variations of MTTF and sensitivity have also been examined. Remarkable points during the study have also been pointed out. Originality/value Reliability characteristics of the transformer have been evaluated including two parameters: insulating oil and paper with the help of supplementary variable technique, considering two different types of repairs incorporating Gumbel–Hougaard family of copula unlike done earlier. Reliability, MTTF and sensitivity of transformer have been analyzed considering the parameters: BDV, MC, IFT and FC of insulating oil, and BDV, MC, DOP, DF of insulating paper.


2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Jinying Tong

We consider the stochastic stability for a hybrid jump-diffusion model, where the switching here is a phase semi-Markovian process. We first transform the process into a corresponding jump-diffusion with Markovian switching by the supplementary variable technique. Then we prove the Feller and strong Feller properties of the model under some assumptions.


2000 ◽  
Vol 14 (2) ◽  
pp. 203-218 ◽  
Author(s):  
Attahiru Sule Alfa ◽  
T. S. S. Srinivasa Rao

In this article, we formalize the framework for the supplementary variable technique in stochastic models. Specifically, we show that the use of remaining or elapsed times (or any metric) as supplementary variables leads to the notion of forward or backward Chapman–Kolmogorov equations, respectively. We further show that for a class of queueing systems, using remaining time as the supplementary variable makes analysis simpler.


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