Standby Redundancy Optimization with Type-2 Fuzzy Lifetimes

Under the given system weight constraint, we consider the problem of maximizing the system lifetime and minimizing the system cost. The lifetimes of components in the system are characterized by type-2 fuzzy variables. The numbers of redundant elements of each components are the decision variables. We use the reduction methods to reduce the type-2 fuzzy lifetimes. Then, we propose a goal programming model for this system. We suggest an approximation approach (AA) to the reliability and design an AA-based particle swarm optimization (PSO) algorithm to solve the fuzzy model.

[1]  Yian-Kui Liu,et al.  Expected value of fuzzy variable and fuzzy expected value models , 2002, IEEE Trans. Fuzzy Syst..

[2]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[3]  Yanju Chen,et al.  The Possibilistic Representative Value of Type-2 Fuzzy Variable and Its Properties , 2010 .

[4]  Yian-Kui Liu,et al.  Type-2 fuzzy variables and their arithmetic , 2010, Soft Comput..

[5]  Tapan Kumar Roy,et al.  Fuzzy multi-objective mathematical programming on reliability optimization model , 2006, Appl. Math. Comput..

[6]  Baoding Liu,et al.  Standby redundancy optimization problems with fuzzy lifetimes , 2005, Comput. Ind. Eng..

[7]  Witold Pedrycz,et al.  Fuzzy Systems Engineering , 2007 .

[8]  Yian-Kui Liu,et al.  Methods of critical value reduction for type-2 fuzzy variables and their applications , 2011, J. Comput. Appl. Math..

[9]  Way Kuo,et al.  Recent Advances in Optimal Reliability Allocation , 2007, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[10]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[11]  Y.-K. Liu,et al.  Convergent results about the use of fuzzy simulation in fuzzy optimization problems , 2006, IEEE Transactions on Fuzzy Systems.

[12]  Baoding Liu,et al.  Stochastic programming models for general redundancy-optimization problems , 2003, IEEE Trans. Reliab..

[13]  Zhi-Qiang Liu,et al.  Modeling fuzzy data envelopment analysis by parametric programming method , 2011, Expert Syst. Appl..

[14]  Alice E. Smith,et al.  Redundancy allocation to maximize a lower percentile of the system time-to-failure distribution , 1998 .

[15]  Li Bing,et al.  A practical engineering method for fuzzy reliability analysis of mechanical structures , 2000 .

[16]  Witold Pedrycz,et al.  Fuzzy Systems Engineering - Toward Human-Centric Computing , 2007 .