摘要
The problem of stochastically allocating redundant com- ponents to increase the system lifetime is an important topic of reliability. An optimal redundancy allocation is proposed, which maximizes the expected lifetime of a reliability system with sub- systems consisting of components in parallel. The constraints are minimizing the total resources and the sizes of subsystems. In this system, each switching is independent with each other and works with probability p. Two optimization problems are studied by an incremental algorithm and dynamic programming technique respectively. The incremental algorithm proposed could obtain an approximate optimal solution, and the dynamic programming method could generate the optimal solution,
The problem of stochastically allocating redundant com- ponents to increase the system lifetime is an important topic of reliability. An optimal redundancy allocation is proposed, which maximizes the expected lifetime of a reliability system with sub- systems consisting of components in parallel. The constraints are minimizing the total resources and the sizes of subsystems. In this system, each switching is independent with each other and works with probability p. Two optimization problems are studied by an incremental algorithm and dynamic programming technique respectively. The incremental algorithm proposed could obtain an approximate optimal solution, and the dynamic programming method could generate the optimal solution,
基金
supported by the National Natural Science Foundation of China(71172172
71101158
71272058)
the Program for New Century Excellent Talents in University(NCET-10-0043)
the Key Project Cultivation Fund of the Scientific and Technical Innovation Program of Beijing Institute of Technology(2011CX01001)
the Special Fund of International Science and Technology Cooperation Program of Beijing Institute of Technology(GZ2014215101)
作者简介
Lun Ran was born in 1977. He received his Ph.D. degree from Beijing Institute of Technology in 2005. Now he is a professor and a Ph.D. supervisor in the School of Management and Economics, Bei- jing Institute of Technology. His research interests are stochastic modeling and optimization, focused on revenue management and risk management. E-mail： ranlun @hit.edu.cnJinlin Li was born in 1955. He is a professor and a Ph.D. supervisor in the School of Management and Economics, Beijing Institute of Technology. His re- search interests are risk management and reliability engineering. E-mail： ji nlinli （a） bit.edu.cnXujie Jia was born in 1982. She received her Ph.D. degree from Beijing Institute of Technology in 2009. She is currently an associate professor in the College of Science, Minzu University of China. Her main research interests are in stochastic modeling, quality and reliability engineering and applications of probability and statistics. E-mail： jiaxujie@ 126.comHongrui Chu was born in 1987. He received his M.S. degree from Dalian University of Technology in 2012. He is a Ph.D. candidate in the School of Management and Economics. Beijing Institute of Technology. His research interests include stochas- tic modeling, risk management and inventory management. E-mail： chuhongrui@bit.edu.cn
