12Contribution of Refreshment Provided to the Server During His Job in the Repairable Cold Standby System
M.S. Barak1*, Ajay Kumar2 and Reena Garg2
1Department of Mathematics, Indira Gandhi University, Meerpur, Rewari, India
2Department of Mathematics, J. C. Bose UST, YMCA, Faridabad, India
Abstract
Due to a human being, the server is not always working like a robot or machine; sometimes the server feels tiredness or some emotional things that affect the performance of the server during his job like repair or replacement of the unit. In this manuscript, refreshment is offered to the server to enhance his working capacity and to determine the reliability measures of a cold standby system of identical units in which one is operative and another is a cold standby unit as shown in Figure 12.1. Also, after getting refreshments, the repairman may ultimately provide better service effectively and after getting the renovation, the unit works like a new unit. Let us suppose that renovation and refreshment actions have an exponential distribution whereas unit failure, and repairman failure have a random distribution with a distinct probability density function. The random variables are statistically independent. Figures are used to show the nature of some essential reliability measures, such as mean time to system failure (MTSF), availability, and profit of the system.
Keywords: Refreshment, performance, repairable system, cold-standby, reliability measures
12.1 Introduction
Reliability ...
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