Formal Reliability Analysis of Railway Systems Using Theorem Proving Technique

In recent years, high-speed railway has been rapidly developed and deployed around the world including Germany, China, France, and Japan. The continuous endeavor to operate these trains at higher speeds has led to the development of high-speed railways into a new era. For instance, the high-speed railways in China had been operating at speeds of 300 km/h, but the introduction of the Beijing–Shanghai high-speed railway in June 2011 has further ushered China toward superhigh-speed trains that can operate at speeds of 380 km/h [1]. Due to the widespread coverage and continuous operation of the railway systems, the rigorous reliability analysis of these high-speed trains is a dire need. Moreover, a slight malfunctioning in the train components may cause undesirable delays at the arrival stations or even the loss of human lives in extreme cases. Reliability block diagrams (RBDs) [2] are commonly used to develop reliability models for high-speed railway systems. Traditionally, these reliability models are analyzed by paper-and-pencil proof methods and simulation tools. However, the paper-and-pencil methods are prone to human errors for large systems, and it is often the case that many CONTENTS

[1]  Sofiène Tahar,et al.  Formal verification of tail distribution bounds in the HOL theorem prover , 2009 .

[2]  Alonzo Church,et al.  A formulation of the simple theory of types , 1940, Journal of Symbolic Logic.

[3]  Robin Milner,et al.  A Theory of Type Polymorphism in Programming , 1978, J. Comput. Syst. Sci..

[4]  Sofiène Tahar,et al.  Formalization of Reliability Block Diagrams in Higher-order Logic , 2016, J. Appl. Log..

[5]  Sofiène Tahar,et al.  Formalization of the Standard Uniform random variable , 2007, Theor. Comput. Sci..

[6]  Sofiène Tahar,et al.  Towards Formal Reliability Analysis of Logistics Service Supply Chains using Theorem Proving , 2015, IWIL@LPAR.

[7]  Osman Hasan,et al.  Formal Availability Analysis Using Theorem Proving , 2016, ICFEM.

[8]  Sofiène Tahar,et al.  Formal reliability analysis of wireless sensor network data transport protocols using HOL , 2015, 2015 IEEE 11th International Conference on Wireless and Mobile Computing, Networking and Communications (WiMob).

[9]  P. Firpo,et al.  Estimate Of Components Reliability And Maintenance Strategies Impact On Trains Delay , 2007 .

[10]  Osman Hasan,et al.  Towards Formal Fault Tree Analysis Using Theorem Proving , 2015, CICM.

[11]  Yong Jiang,et al.  Reliability evaluating for traction drive system of high-speed electrical multiple units , 2013, 2013 IEEE Transportation Electrification Conference and Expo (ITEC).

[12]  M. Gordon,et al.  Introduction to HOL: a theorem proving environment for higher order logic , 1993 .

[13]  J. Harrison Formalized Mathematics , 1996 .

[14]  Luke Thomas Herbert,et al.  Restructuring of workflows to minimise errors via stochastic model checking: An automated evolutionary approach , 2016, Reliab. Eng. Syst. Saf..

[15]  Sofiène Tahar,et al.  Formal Reliability Analysis Using Theorem Proving , 2010, IEEE Transactions on Computers.

[16]  Kishor S. Trivedi Probability and Statistics with Reliability, Queuing, and Computer Science Applications , 1984 .

[17]  Osman Hasan,et al.  Formal reliability analysis of oil and gas pipelines , 2017 .

[18]  Gethin Norman,et al.  Quantitative Verification: Formal Guarantees for Timeliness, Reliability and Performance , 2014 .

[19]  Michael J. C. Gordon,et al.  Mechanizing programming logics in higher order logic , 1989 .

[20]  MengChu Zhou,et al.  Automated Modeling of Dynamic Reliability Block Diagrams Using Colored Petri Nets , 2010, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[21]  Chris W. Johnson,et al.  How reliable is satellite navigation for aviation? Checking availability properties with probabilistic verification , 2015, Reliab. Eng. Syst. Saf..

[22]  Alessandro Birolini Reliability Engineering : Theory and Practice pdf , 2016 .

[23]  Sofiène Tahar,et al.  Formalization of Continuous Probability Distributions , 2007, CADE.

[24]  Philippe Thomas,et al.  Make your Petri nets understandable: Reliability block diagrams driven Petri nets , 2013, Reliab. Eng. Syst. Saf..

[25]  Johannes Hölzl,et al.  Three Chapters of Measure Theory in Isabelle/HOL , 2011, ITP.

[26]  Sofiène Tahar,et al.  An approach for lifetime reliability analysis using theorem proving , 2014, J. Comput. Syst. Sci..

[27]  Sofiène Tahar,et al.  Towards the Formal Reliability Analysis of Oil and Gas Pipelines , 2014, CICM.

[28]  Sofiène Tahar,et al.  On the Formalization of the Lebesgue Integration Theory in HOL , 2010, ITP.

[29]  Joe Hurd,et al.  Formal verification of probabilistic algorithms , 2003 .