Mathematical Foundations of System Safety Engineering: A Road Map for the Future Richard 3030262413 9783030262419

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Product details:

• ISBN 10: 3030262413
• ISBN 13: 9783030262419
• Author: Richard R. Zito

This graduate-level textbook elucidates low-risk and fail-safe systems in mathematical detail.  It addresses, in particular, problems where mission-critical performance is paramount, such as in aircraft, missiles, nuclear reactors and weapons, submarines, and many other types of systems where “failure” can result in overwhelming loss of life and property. The book is divided into four parts: Fundamentals, Electronics, Software, and Dangerous Goods. The first part on Fundamentals addresses general concepts of system safety engineering that are applicable to any type of system.  The second part, Electronics, addresses the detection and correction of electronic hazards.  In particular, the Bent Pin Problem, Sneak Circuit Problem, and related electrical problems are discussed with mathematical precision.  The third part on Software addresses predicting software failure rates as well as detecting and correcting deep software logical flaws (called defects).

Table of contents:

1. Introduction

Part I. Fundamentals

2. Decomposition of the Failure Histogram

3. Bounding the “Black Swan” Probability

4. The Risk Surface

Part II. Electronics

5. The Bent Pin Problem—I: Computer Search Methods

6. The Bent Pin Problem—II: Matrix Methods

7. The Bent Pin Problem—III: Number Theory Methods

8. The Bent Pin Problem—IV: Limit Methods

9. The Bent Pin Problem—V: Experimental Methods

10. “Sneak Circuits” and Related System Safety Electrical Problems––I: Matrix Methods

11. “Sneak Circuits” and Related System Safety Electrical Problems-II: Computer Search Methods

Part III. Software

12. Predicting Software Performance

13. Alternative Flowcharts for a Mathematical Analysis of Logic

14. Fail-Safe Control Software

Part IV. Dangerous Goods

15. Design Phase Elimination of Beryllium

16. Accelerated Age Testing of Explosives and Propellants

17. The Movement of Inorganic Cadmium Through the Environment

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