An entropy-based three-stage approach for multi-objective system reliability optimization considering uncertainty

ABSTRACT This article presents a three-stage approach for solving multi-objective system reliability optimization problems considering uncertainty. The reliability of each component is considered in the formulation as a component reliability estimate in the form of an interval value and discrete values. Component reliability may vary owing to variations in the usage scenarios. Uncertainty is described by defining a set of usage scenarios. To address this problem, an entropy-based approach to the redundancy allocation problem is proposed in this study to identify the deterministic reliability of each component. In the second stage, a multi-objective evolutionary algorithm (MOEA) is applied to produce a Pareto-optimal solution set. A hybrid algorithm based on k-means and silhouettes is performed to select representative solutions in the third stage. Finally, a numerical example is presented to illustrate the performance of the proposed approach.

[1]  Seyed Jafar Sadjadi,et al.  Minimum-Maximum regret redundancy allocation with the choice of redundancy strategy and multiple choice of component type under uncertainty , 2015, Comput. Ind. Eng..

[2]  Harish Garg,et al.  An efficient two phase approach for solving reliability-redundancy allocation problem using artificial bee colony technique , 2013, Comput. Oper. Res..

[3]  G. S. Mahapatra,et al.  Entropy based region reducing genetic algorithm for reliability redundancy allocation in interval environment , 2014, Expert Syst. Appl..

[4]  Xin Yao,et al.  A multi-objective approach to Redundancy Allocation Problem in parallel-series systems , 2009, 2009 IEEE Congress on Evolutionary Computation.

[5]  G. S. Mahapatra.  Reliability Optimization of Entropy Based Series-Parallel System Using Global Criterion Method , 2009, Intell. Inf. Manag..

[6]  P. Rousseeuw.  Silhouettes: a graphical aid to the interpretation and validation of cluster analysis , 1987 .

[7]  Dirk P. Kroese,et al.  Network Reliability Optimization via the Cross-Entropy Method , 2007, IEEE Transactions on Reliability.

[8]  David W. Coit,et al.  A two-stage approach for multi-objective decision making with applications to system reliability optimization , 2009, Reliab. Eng. Syst. Saf..

[9]  Harish Garg,et al.  An efficient biogeography based optimization algorithm for solving reliability optimization problems , 2015, Swarm Evol. Comput..

[10]  Michel Feidt,et al.  Thermodynamic analysis and evolutionary algorithm based on multi-objective optimization of performance for irreversible four-temperature-level refrigeration , 2015 .

[11]  Reza Tavakkoli-Moghaddam,et al.  Interval programming for the redundancy allocation with choices of redundancy strategy and component type under uncertainty: Erlang time to failure distribution , 2014, Appl. Math. Comput..

[12]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[13]  Abdolhamid Eshraghniaye Jahromi,et al.  Optimization of multi-objective redundancy allocation problem with non-homogeneous components , 2017, Comput. Ind. Eng..

[14]  Tongdan Jin,et al.  System optimization with component reliability estimation uncertainty: a multi-criteria approach , 2004, IEEE Transactions on Reliability.

[15]  Luca Podofillini,et al.  Optimal design of reliable network systems in presence of uncertainty , 2005, IEEE Transactions on Reliability.

[16]  Harish Garg.  Solving structural engineering design optimization problems using an artificial bee colony algorithm , 2013 .

[17]  Ratna Babu Chinnam,et al.  Efficient exact optimization of multi-objective redundancy allocation problems in series-parallel systems , 2013, Reliab. Eng. Syst. Saf..

[18]  David W. Coit,et al.  Fault-tolerant embedded system design and optimization considering reliability estimation uncertainty , 2007, Reliab. Eng. Syst. Saf..

[19]  Heidi A. Taboada,et al.  Data Clustering of Solutions for Multiple Objective System Reliability Optimization Problems , 2007 .

[20]  Harish Garg,et al.  Multi-objective reliability-redundancy allocation problem using particle swarm optimization , 2013, Comput. Ind. Eng..

[21]  Ehsan Valian,et al.  A cuckoo search algorithm by Lévy flights for solving reliability redundancy allocation problems , 2013 .

[22]  Kai Song,et al.  Multi-objective system reliability-based optimization method for design of a fully parametric concept car body , 2017 .

[23]  Fathollah Pourfayaz,et al.  Thermodynamic analysis and evolutionary algorithm based on multi-objective optimization performance of actual power generating thermal cycles , 2016 .

[24]  Harish Garg,et al.  An Approach for Analyzing the Reliability of Industrial System Using Fuzzy Kolmogorov’s Differential Equations , 2015 .

[25]  Amir H. Mohammadi,et al.  Optimal design of a solar driven heat engine based on thermal and thermo-economic criteria , 2013 .

[26]  Yun-Chia Liang,et al.  A variable neighbourhood search algorithm with novel archive update strategies for redundancy allocation problems , 2012 .

[27]  E. Pohl,et al.  A bat algorithm for the redundancy allocation problem , 2016 .

[28]  Harish Garg,et al.  Intuitionistic fuzzy optimization technique for solving multi-objective reliability optimization problems in interval environment , 2014, Expert Syst. Appl..

[29]  Roya Soltani,et al.  The Robust Cold Standby Redundancy Allocation in Series-Parallel Systems With Budgeted Uncertainty , 2015, IEEE Transactions on Reliability.

[30]  Madjid Tavana,et al.  Application of the NSGA-II algorithm to a multi-period inventory-redundancy allocation problem in a series-parallel system , 2017, Reliab. Eng. Syst. Saf..

[31]  Jalal Safari,et al.  Robust counterpart optimization for the redundancy allocation problem in series-parallel systems with component mixing under uncertainty , 2015, Appl. Math. Comput..

[32]  Mohammad Modarres,et al.  The Robust Redundancy Allocation Problem in Series-Parallel Systems With Budgeted Uncertainty , 2014, IEEE Transactions on Reliability.

[33]  Mehdi Mehrpooya,et al.  Thermodynamic and thermo-economic analysis and optimization of performance of irreversible four-temperature-level absorption refrigeration , 2014 .

[34]  Michel Feidt,et al.  Optimization density power and thermal efficiency of an endoreversible Braysson cycle by using non-dominated sorting genetic algorithm , 2015 .

[35]  Harish Garg,et al.  An approach for solving constrained reliability-redundancy allocation problems using cuckoo search algorithm , 2015 .

[36]  Qingwei Chen,et al.  Multi-objective reliability redundancy allocation in an interval environment using particle swarm optimization , 2016, Reliab. Eng. Syst. Saf..

[37]  Harish Garg,et al.  Reliability, Availability and Maintainability Analysis of Industrial Systems Using PSO and Fuzzy Methodology , 2014 .

[38]  David W. Coit,et al.  System Reliability Optimization Considering Uncertainty: Minimization of the Coefficient of Variation for Series-Parallel Systems , 2011, IEEE Transactions on Reliability.

[39]  Mohammad Ali Ahmadi,et al.  Thermodynamic analysis and optimisation of an irreversible radiative-type heat engine by using non-dominated sorting genetic algorithm , 2016 .

[40]  Harish Garg,et al.  Bi-objective optimization of the reliability-redundancy allocation problem for series-parallel system , 2014 .

[41]  Mohammad Ali Ahmadi,et al.  Thermodynamic and thermo-economic analysis and optimization of an irreversible regenerative closed Brayton cycle , 2015 .

[42]  R. K. Gupta,et al.  A GA based penalty function technique for solving constrained redundancy allocation problem of series system with interval valued reliability of components , 2009, J. Comput. Appl. Math..

[43]  Harish Garg,et al.  A hybrid PSO-GA algorithm for constrained optimization problems , 2016, Appl. Math. Comput..