Mission-Based Component Testing for Series Systems

We consider the component testing problem of a device that is designed to perform a mission consisting of a random sequence of phases with random durations. Testing is done at the component level to attain desired levels of mission reliability at minimum cost. The components fail exponentially where the failure rate depends on the phase of the mission. The reliability structure of the device involves a series connection of nonidentical components with different failure characteristics. The optimal component testing problem is formulated as a semi-infinite linear program. We present an algorithmic procedure to compute optimal test times based on the column generation technique, and illustrate it with numerical examples.

[1]  I K Altınel.  The design of optimum component test plans in the demonstration of system reliability , 1994 .

[2]  Süleyman Özekici,et al.  Inventory models with random yield in a random environment , 2002 .

[3]  Yixin Zhu,et al.  Markov-modulated queueing systems , 1989, Queueing Syst. Theory Appl..

[4]  Süleyman Özekici,et al.  Complex Systems in Random Environments , 1996 .

[5]  K. Kim,et al.  Phased-mission system reliability under Markov environment , 1994 .

[6]  Süleyman Özekici,et al.  Reliability of Complex Devices in Random Environments. , 1987 .

[7]  A. Charnes,et al.  Duality in Semi-Infinite Programs and some Works of Haar and Caratheodory , 1963 .

[8]  I. Kuban Altinel,et al.  Optimum component test plans for systems with dependent components , 1998, Eur. J. Oper. Res..

[9]  Süleyman Özekici,et al.  Portfolio optimization in stochastic markets , 2006, Math. Methods Oper. Res..

[10]  Tomasz Rolski,et al.  Stochastic Processes for Insurance and Finance , 2001 .

[11]  M. Mazumdar.  An Optimum Procedure for Component Testing in the Demonstration of Series System Reliability , 1977, IEEE Transactions on Reliability.

[12]  James Daniel. Esary,et al.  Reliability analysis of phased missions. , 1975 .

[13]  R. Horst,et al.  Global Optimization: Deterministic Approaches , 1992 .

[14]  I. Kuban Altinel,et al.  Component testing of a series system in a random mission , 2002, Reliab. Eng. Syst. Saf..

[15]  Süleyman Özekici,et al.  Reliability and Maintenance of Complex Systems , 2010, NATO ASI Series.

[16]  M. A. López-Cerdá,et al.  Linear Semi-Infinite Optimization , 1998 .

[17]  Floyd W. Spencer,et al.  System-based component-test plans and operating characteristics: binomial data , 1991 .

[18]  İ K Altınel,et al.  Component testing of repairable systems in multistage missions , 2001, J. Oper. Res. Soc..

[19]  A. Charnes,et al.  Systems Evaluation and Repricing Theorems , 1962 .

[20]  Shmuel Gal,et al.  Optimal Test Design for Reliability Demonstration , 1974, Oper. Res..

[21]  Andrea Bondavalli,et al.  Markov Regenerative Stochastic Petri Nets to Model and Evaluate Phased Mission Systems Dependability , 2001, IEEE Trans. Computers.

[22]  Toshihide Ibaraki,et al.  Resource allocation problems - algorithmic approaches , 1988, MIT Press series in the foundations of computing.

[23]  Andrea Bondavalli,et al.  Hierarchical modeling and evaluation of phased-mission systems , 1999 .

[24]  Mansoor Alam,et al.  Quantitative Reliability Evaluation of Repairable Phased-Mission Systems Using Markov Approach , 1986, IEEE Transactions on Reliability.