Optimal element loading for linear sliding window systems

Many engineering systems are designed to support load with different amounts. The load carried by the system has a significant effect on the deterioration of the system elements. This article presents an algorithm for determining the optimal load given to each multi-state element in a linear sliding window system such that the reliability of the system can be maximized. The model considers both the effect of load on the failure rate and the relationship between load and performance for each element. A reliability evaluation algorithm based on universal generating function is suggested for the proposed load-dependent linear sliding window system. The optimal load distribution problem is solved using genetic algorithms. Numerical experiments are presented to illustrate the proposed methods.

[1]  Yun-Chia Liang,et al.  A Variable Neighbourhood Descent Algorithm for the Redundancy Allocation Problem , 2005 .

[2]  Min Xie,et al.  A Study of Lifetime Optimization of Transportation System , 2012, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[3]  Gregory Levitin,et al.  Linear $m$ -Gap Sliding Window Systems , 2012, IEEE Trans. Reliab..

[4]  Alice E. Smith,et al.  An ant colony optimization algorithm for the redundancy allocation problem (RAP) , 2004, IEEE Transactions on Reliability.

[5]  Kailash C. Kapur,et al.  Reliability in engineering design , 1977 .

[6]  Gregory Levitin,et al.  Consecutive sliding window systems , 2011, Reliab. Eng. Syst. Saf..

[7]  L. Darrell Whitley,et al.  The GENITOR Algorithm and Selection Pressure: Why Rank-Based Allocation of Reproductive Trials is Best , 1989, ICGA.

[8]  M. Zuo,et al.  Genetic-algorithm-based optimal apportionment of reliability and redundancy under multiple objectives , 2009 .

[9]  Shiyu Zhou,et al.  Change detection in the Cox Proportional Hazards models from different reliability data , 2010, Qual. Reliab. Eng. Int..

[10]  Jiandong Li,et al.  AVAILABILITY ANALYSIS AND DESIGN OPTIMIZATION FOR A REPAIRABLE SERIES-PARALLEL SYSTEM WITH FAILURE DEPENDENCIES , 2012 .

[11]  William Q. Meeker,et al.  A Review of Accelerated Test Models , 2006, 0708.0369.

[12]  M-Y You,et al.  Proportional hazards model for reliability analysis of solder joints under various drop-impact and vibration conditions , 2012 .

[13]  Laura Painton,et al.  Genetic algorithms in optimization of system reliability. , 1995 .

[14]  Min Xie,et al.  Some improvements on adaptive genetic algorithms for reliability-related applications , 2010, Reliab. Eng. Syst. Saf..

[15]  Hui Xiao,et al.  Optimal allocation and maintenance of multi-state elements in series-parallel systems with common bus performance sharing , 2014, Comput. Ind. Eng..

[16]  Zhigang Tian,et al.  Condition based maintenance optimization considering multiple objectives , 2009, Journal of Intelligent Manufacturing.

[17]  A. Saidane,et al.  Optimal Reliability Design: Fundamentals and Applications , 2001 .

[18]  Radivoje Mitrovic,et al.  Design for reliability of a vehicle transmission system , 2012 .

[19]  Ravishankar K. Iyer,et al.  A Measurement-Based Model for Workload Dependence of CPU Errors , 1986, IEEE Transactions on Computers.

[20]  Igor Ushakov.  Universal Generating Functions , 2013 .

[21]  Gregory Levitin,et al.  k-out-of-n sliding window systems , 2012, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[22]  Liudong Xing,et al.  Reliability evaluation and optimization of series–parallel systems with k-out-of-n: G subsystems and mixed redundancy types , 2013 .

[23]  Gregory Levitin,et al.  Optimal load distribution in series-parallel systems , 2009, Reliab. Eng. Syst. Saf..

[24]  Alice E. Smith,et al.  Efficiently Solving the Redundancy Allocation Problem Using Tabu Search , 2003 .

[25]  Gregory Levitin,et al.  Linear multi-state sliding-window systems , 2003, IEEE Trans. Reliab..

[26]  E. V. Walker,et al.  Applying proportional hazards modelling in reliability , 1991 .

[27]  Mustapha Nourelfath,et al.  Integrated load distribution and production planning in series-parallel multi-state systems with failure rate depending on load , 2012, Reliab. Eng. Syst. Saf..

[28]  Gregory Levitin,et al.  The Universal Generating Function in Reliability Analysis and Optimization , 2005 .

[29]  Dilip Roy,et al.  Estimation of reliability of mobile handsets using Cox-proportional hazard model , 2013, Microelectron. Reliab..

[30]  I. Józwiak.  An introduction to the studies of reliability of systems using the Weibull proportional hazards model , 1997 .

[31]  Gregory Levitin,et al.  Optimal component loading in 1-out-of-N cold standby systems , 2014, Reliab. Eng. Syst. Saf..

[32]  David R. Cox,et al.  Regression models and life tables (with discussion , 1972 .