An efficient heuristic for series–parallel redundant reliability problems

You, Peng-Sheng; Chen, Ta-Cheng

doi:10.1016/j.cor.2004.02.003

Cited by 76 publications

(31 citation statements)

References 12 publications

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“…Singh et al (2005) analyzed a three-unit standby system of water pumps in which two units were operative simultaneously and the third one was a cold standby for an ash handling plant. You and Chen (2005) proposed an efficient heuristic approach for series-parallel redundant reliability problems. Cheng and Mon (1993) presented a method for fuzzy system reliability analysis by interval of confidence.…”

Section: Literature Reviewmentioning

confidence: 99%

Mathematical modeling and fuzzy availability analysis for serial processes in the crystallization system of a sugar plant

Aggarwal¹,

Kumar

Singh

2016

J Ind Eng Int

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The binary states, i.e., success or failed state assumptions used in conventional reliability are inappropriate for reliability analysis of complex industrial systems due to lack of sufficient probabilistic information. For large complex systems, the uncertainty of each individual parameter enhances the uncertainty of the system reliability. In this paper, the concept of fuzzy reliability has been used for reliability analysis of the system, and the effect of coverage factor, failure and repair rates of subsystems on fuzzy availability for fault-tolerant crystallization system of sugar plant is analyzed. Mathematical modeling of the system is carried out using the mnemonic rule to derive Chapman-Kolmogorov differential equations. These governing differential equations are solved with Runge-Kutta fourth-order method.

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Section: Literature Reviewmentioning

confidence: 99%

Mathematical modeling and fuzzy availability analysis for serial processes in the crystallization system of a sugar plant

Aggarwal¹,

Kumar

Singh

2016

J Ind Eng Int

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“…Fyffe et al (1968) developed goal programming to solve system reliability allocation problem. You and Chen (2005) proposed an efficient heuristic to solve the RAP. Tian and Zuo (2006) used multi-objective optimization to solve RAP where the model maximized the system performance and minimized the system cost and weight simultaneously.…”

Section: Related Workmentioning

confidence: 99%

Using Genetic Algorithm to Find the Optimal Shopping Policy for 1-out-of-n Active-Redundancy Series Systems under Budget Constraint

Ramadan¹

2014

CIS

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The mathematical model to find the optimal shopping policy from many available manufacturers for 1-out-of-n active redundancy series systems under budget constraint was formulated and tested using GA. The study showed that the number of possible combinations for this problem can be very high and the majority of those combinations are infeasible. This renders the enumeration technique ineffective or even impossible in practice, the matter that calls for a solution through GA.The results showed that the proposed genetic algorithm has high degree of robustness. Moreover, the results showed that the proposed algorithm is superior to the enumeration technique in terms of both computational time and quality of solution. Furthermore, the results showed that the convergence of the algorithm to the optimal solution is high.

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“…Azaron et al [4] dealt with the reliability function of a class of time-dependent systems with stand by redundancy. You and Chen [5] proposed a heuristic algorithm based on a multi-start search procedure for solving a series-parallel RAP with separable linear constraints. An Ant Colony Optimization (ACO) algorithm was proposed by Liang and Smith [6] for the RAP.…”

Section: Introductionmentioning

confidence: 99%

Optimal Redundancy Allocation in Hierarchical Series-Parallel Systems Using Mixed Integer Programming

Ziaee¹

2013

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Reliability optimization plays an important role in design, operation and management of the industrial systems. System reliability can be easily enhanced by improving the reliability of unreliable components and/or by using redundant configuration with subsystems/components in parallel. Redundancy Allocation Problem (RAP) was studied in this research. A mixed integer programming model was proposed to solve the problem, which considers simultaneously two objectives under several resource constraints. The model is only for the hierarchical series-parallel systems in which the elements of any subset of subsystems or components are connected in series or parallel and constitute a larger subsystem or total system. At the end of the study, the performance of the proposed approach was evaluated by a numerical example.

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An efficient heuristic for series–parallel redundant reliability problems

Cited by 76 publications

References 12 publications

Mathematical modeling and fuzzy availability analysis for serial processes in the crystallization system of a sugar plant

Mathematical modeling and fuzzy availability analysis for serial processes in the crystallization system of a sugar plant

Using Genetic Algorithm to Find the Optimal Shopping Policy for 1-out-of-n Active-Redundancy Series Systems under Budget Constraint

Optimal Redundancy Allocation in Hierarchical Series-Parallel Systems Using Mixed Integer Programming

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