Mathematical models for systems reliability. (2008)

• Record Type: Book
• Further Information: Note: Benjamin Epstein and Ishay Weissman.
• Other Names: Epstein, Benjamin, 1918-; Weissman, Ishay, 1940-; CRC Press.
• Contents: Preliminaries ; The Poisson process and distribution; Waiting time distributions for a Poisson process; Statistical estimation theory; Generating a Poisson process; Nonhomogeneous Poisson process; Binomial, geometric, and negative binomial distributions; Statistical Life Length Distributions ; Stochastic life length models; Models based on the hazard rate; General remarks on large systems; Reliability of Various Arrangements of Units ; Series and parallel arrangements; Series-parallel and parallel-series systems; Various arrangements of switches; Standby redundancy; Reliability of a One-Unit Repairable System ; Exponential times to failure and repair; Generalizations; Reliability of a Two-Unit Repairable System ; Steady-state analysis; Time-dependent analysis via Laplace transform; On model 2(c); Continuous-Time Markov Chains ; The general case; Reliability of three-unit repairable systems; Steady-state results for the n-unit repairable system; Pure birth and death processes; Some statistical considerations; First Passage Time for Systems Reliability ; Two-unit repairable systems; Repairable systems with three (or more) units; Repair time follows a general distribution; Embedded Markov Chains and Systems Reliability ; Computations of steady-state probabilities; Mean first passage times; Integral Equations in Reliability Theory ; Introduction; Example 1: Renewal process with a general distribution; Example 2: One-unit repairable system; Example 3: Effect of preventive replacements or maintenance; Example 4: Two-unit repairable system; Example 5: One out of n repairable systems; Example 6: Section 7.3 revisited; Example 7: First passage time distribution; References ; Index ; A Problems and Comments section appears at the end of each chapter.
• Publisher Details: Boca Raton : Taylor & Francis
• Publication Date: 2008
• Extent: 1 online resource (272 pages)
• Subjects: 620/.00452015118; Reliability (Engineering) -- Mathematics; System failures (Engineering) -- Mathematical models; Reliability (Engineering) -- Mathematics; System failures (Engineering) -- Mathematical models; Electronic books; Electronic resource
• Languages: English
• ISBNs: 9781420080834; 1420080830
• Related ISBNs: 9781420080827; 1420080822
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.