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In this paper one considers a model representing a two‐unit identical system with one unit operating online, and the other unit in warm standby. The online unit is controlled by a protective unit which protects the online unit from any damage occurring. The online and protective units may fail due either to a hardware failure or to a shock failure. The failure and repair rates for the online, standby and protective units are constant but different. Expressions for the time‐dependent availability, steady‐state availability, reliability, mean time to failure and profit function are obtained by the Laplace transform technique. Finally graphs are also drawn for the above model to illustrate the various characteristics obtained. Some applications of the model are also given.

The purpose of this paper is to evaluate various reliability metrics such as transition state probabilities, availability, reliability, mean time to failure and expected profit of two non-identical unit parallel system incorporating waiting time.

The present paper investigates the reliability of two non-identical unit parallel system with two types of failures: common cause failure and partial failure. Moreover, waiting time to repair, a significant aspect of reliability analysis, has also been incorporated. The considered system is assumed to function properly if at least one of the units is in operative mode. The present system is examined by using the supplementary variable technique and Laplace transformation.

Numerical calculation shows that the availability and the reliability of the system is minimum when the system is without partial failure and is maximum when the system is free from common cause failure. Finally, the cost analysis of the system reveals that the expected profit decreases with increase in service cost.

This paper presents a mathematical model of two dissimilar unit parallel system, through which the performance of the considered system can be improved.

Deals with the cost benefit analysis of a one server two dissimilar unit cold standby system in which we consider two different repair policies, namely: (1) policy 1: retain the repair facility throughout; (2) policy 2: call for the repair facility only when both the units are in failed condition and retain it until no unit is waiting for repair. States that the life time and repair time of the units are random variables with arbitrary distributions. Compares the expected profit and availability of the system under policy 1 and policy 2 and concludes whether policy 1 is better than policy 2 or vice versa. Numerical results pertaining to the availability of the system and a comparative study for the expected profit under policy 1 and policy 2 when both the failure and repair time distributions are exponential have been analysed.

Presents two models. Model I deals with some characteristics of a single unit system with a sensing device and two types of repairmen. The unit is attached to a sensing device which completely monitors the operating or non‐operating status of the unit. The regular repairman is always available with the system and inspects the operation of the sensing device. If the device is not working, then an expert repairman is called to the system and the operational status of the unit is now monitored by the expert repairman. It is assumed that the failure of the unit, repair of the regular, expert and the status of the sensing device are stochastically independent random variables each having an arbitrary distribution. Several important results have been derived including profit with some applications. In model II, a two‐unit cold standby system with pre‐inspection is considered. In this model, first the regular repairman inspects every unit that fails to ascertain whether he is able to repair it or not. If he can repair it, he proceeds; otherwise an expert repairman is called. An analytical approach to find the optimum interchanging time of units by giving rest to the operative unit is obtained.

The purpose of this paper is to compute reliability, availability, and mean time before failure of the process of a plastic‐pipe manufacturing plant consisting of a (K, N) system for various choices of failure and repair rates of sub‐systems. This plant consists of eight sub‐systems.

In this paper the Chapman‐Kolmogorov differential equations are formed using mnemonic rule from the transition diagram of the plastic‐pipe manufacturing plant. The governing differential equations are solved using matrix method in order to find the reliability of the system with the help of MATLAB software. The same system of differential equations is solved numerically using Runge‐Kutta fourth order method to validate the results obtain by MATLAB.

The findings in the paper are an analysis of reliability, availability and mean time before failure of plastic‐pipe manufacturing plant has been carried out.

This paper proposes matrix calculus method using MATLAB software to find out the reliability of the plastic‐pipe manufacturing plant. This approach can be implemented to find reliability of other manufacturing plants as well.

The findings suggest that the management of the plastic‐pipe manufacturing plant 's sensitive sub‐system is important to improve its performance.

The aim of the paper is to present the impact of human errors in maintenance as found in the literature in order for practitioners to be aware of their impact and develop actions to mitigate their effect.

The paper systematically categorizes the published literature and then analyzes and reviews it methodically.

Human error in maintenance is a pressing problem.

A maintenance person plays an important role in the reliability of equipment. It is also a well‐known fact that a significantly large proportion of total human errors occur during the maintenance phase. Human error in maintenance is a subject which in the past has not been given the amount of attention that it deserves. This paper will be useful to people working in the area of maintenance engineering, as it presents a general review of literature published on maintenance errors in various sectors of industry.

The paper contains a comprehensive listing of publications on the field in question and their classification according to industry. The paper will be useful to researchers, maintenance professionals and others concerned with maintenance to understand the importance of human error in maintenance.