Existing studies about two-dimensional consecutivek-out-of-n： F system is dealt with two states （either component or system）： working or failure. A new model for two-dimensional linear consecutive-k-out-of-n： F s...Existing studies about two-dimensional consecutivek-out-of-n： F system is dealt with two states （either component or system）： working or failure. A new model for two-dimensional linear consecutive-k-out-of-n： F system is proposed, in which the components and systems can be at any of the three states： full working, derating working, and failure. Furthermore, two engineer- ing concrete instances of the new system are given. By using the finite Markov chain imbedding approach, the system reliability is presented in a unified formula with the product of matrices for the case of independent and identically distributed component states which can be extended to the independent but non-identical case easily. Finally, an example is given to illustrate the effectiveness of the above approach and tractability of various problems.展开更多
基金supported by the National Natural Science Foundation of China (70901008)the Specialized Research Fund for the Doctoral Program of Higher Education (20091101120053)+1 种基金the Excellent Young Scholars Research Fund of Beijing Institute of Technology (2008Y0818,2010YS1304)the Excellent Talent Culture Foundation of Beijing(2009D013001000040)
文摘Existing studies about two-dimensional consecutivek-out-of-n： F system is dealt with two states （either component or system）： working or failure. A new model for two-dimensional linear consecutive-k-out-of-n： F system is proposed, in which the components and systems can be at any of the three states： full working, derating working, and failure. Furthermore, two engineer- ing concrete instances of the new system are given. By using the finite Markov chain imbedding approach, the system reliability is presented in a unified formula with the product of matrices for the case of independent and identically distributed component states which can be extended to the independent but non-identical case easily. Finally, an example is given to illustrate the effectiveness of the above approach and tractability of various problems.
