Understanding Series and Parallel Systems Reliability - Engineering Assignment Help

Assignment Task

Introduction 
Reliability engineers often need to work with systems having elements connected in parallel and series, and to calculate their reliability. To this end, when a system consists of a combination of series and parallel segments, engineers often apply very convoluted block reliability formulas and use software calculation packages. As the underlying statistical theory behind the formulas is not always well understood, errors or misapplications may occur. 
The objective of this START sheet is to help the reader bet ter understand the statistical reasoning behind reliability block formulas for series and parallel systems and provide examples of the practical ways of using them. This knowl edge will allow engineers to more correctly use the software packages and interpret the results. We start this START sheet by providing some notation and definitions that we will use in discussing non-repairable sys tems integrated by series or parallel configurations: 
1. All the “n” system component lives (X) are Exponentially distributed: 
F T P X T 1- e ; f T λ λ = λ δ = ≤ = = 
() { } () ( ) - T - T F T e dt 
Summarizing, in this START sheet we consider the case where life is exponentially distributed (i.e., component FR is time independent). First, examples will be given using iden tical components, and then examples will be considered using components with different FR. Independent compo nents are those whose failure does not affect the performance of any other system component. Reliability is the probabili ty of a component (or system) of surviving its mission time “T.” This allows us to obtain both, component and system FR, from their reliability specification. We will first discuss series systems, then parallel and redun Sdant systems, and finally a combination of all these configu Yrations, for non-repairable systems and the case of exponen  tially distributed lives. Examples ofanalyses and uses of &reliability, FR, and survival functions, to illustrate the theory,  Sare provided. 
 

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