Element maintenance and allocation for linear consecutively connected systems

References

• Ambani , S. , Meerkov , S. M. and Zhang , L. 2010 . Feasibility and optimization of preventive maintenance in exponential machines and serial lines . IIE Transactions , 42 ( 10 ) : 766 – 777 .
   Web of Science ®Google Scholar
• Beichelt , F. and Fischer , K. 1980 . General failure model applied to preventive maintenance policies . IEEE Transactions on Reliability , 29 ( 1 ) : 39 – 41 .
   Web of Science ®Google Scholar
• Ding , Y. , Lisnianski , A. , Frenkel , I. and Khvatskin , L. 2009 . Optimal corrective maintenance contract planning for aging multi-state system . Applied Stochastic Models in Business and Industry , 25 ( 5 ) : 612 – 631 .
   Web of Science ®Google Scholar
• Ding , Y. , Zuo , M. J. , Lisnianski , A. and Li , W. 2010 . A framework for reliability approximation of multi-state weighted k-out-of-n systems . IEEE Transactions on Reliability , 59 ( 2 ) : 297 – 308 .
   Web of Science ®Google Scholar
• Eryilmaz , S. and Tutuncu , G. Y. 2009 . Reliability evaluation of linear consecutive-weighted-k-out-of-n:F system . Asia-Pacific Journal of Operational Research , 26 ( 6 ) : 805 – 816 .
   Web of Science ®Google Scholar
• Feldman , R. M. and Chen , M. C. 1996 . Strategic and tactical analyses for optimal replacement policies . IIE Transactions , 28 ( 12 ) : 987 – 993 .
   Web of Science ®Google Scholar
• Huang , H. Z. , Qu , J. and Zuo , M. J. 2009 . Genetic-algorithm-based optimal apportionment of reliability and redundancy under multiple objectives . IIE Transactions , 41 ( 4 ) : 287 – 298 .
   Web of Science ®Google Scholar
• Hwang , F. and Yao , Y. 1989 . Multistate consecutively-connected systems . IEEE Transactions on Reliability , 38 ( 4 ) : 472 – 474 .
   Web of Science ®Google Scholar
• Kossow , A. and Preuss , W. 1995 . Reliability of linear consecutively connected systems with multistate components . IEEE Transactions on Reliability , 44 ( 3 ) : 518 – 522 .
   Web of Science ®Google Scholar
• Levitin , G. 2003 . Optimal allocation of multi-state elements in linear consecutively connected systems with vulnerable nodes . European Journal of Operational Research , 150 ( 2 ) : 406 – 419 .
   Web of Science ®Google Scholar
• Levitin , G. , Lisnianski , A. , Beh-Haim , H. and Elmakis , D. 1998 . Redundancy optimization for series-parallel multi-state systems . IEEE Transactions on Reliability , 47 ( 2 ) : 165 – 172 .
   Web of Science ®Google Scholar
• Li , C. Y. , Chen , X. , Yi , X. S. and Tao , J. Y. 2010 . Heterogeneous redundancy optimization for multi-state series-parallel systems subject to common cause failures . Reliability Engineering & Systems Safety , 95 ( 3 ) : 202 – 207 .
   Web of Science ®Google Scholar
• Lisnianski , A. , Khvatskin , L. , Frenkel , I. and Ding , Y. 2008 . Maintenance contract assessment for aging systems . Quality and Reliability Engineering International , 24 ( 5 ) : 519 – 531 .
   Web of Science ®Google Scholar
• Lisnianski , A. and Levitin , G. 2003 . Multi-state System Reliability. Assessment, Optimization and Applications , London : World Scientific .
   Google Scholar
• Liu , Y. , Li , Y. F. , Huang , H. Z. , Zuo , M. J. and Sun , Z. Q. 2010 . Optimal preventive maintenance policy under fuzzy Bayesian reliability assessment environments . IIE Transactions , 43 ( 10 ) : 734 – 745 .
   Web of Science ®Google Scholar
• Malinowski , J. and Preuss , W. 1996 . Reliability increase of consecutive-k-out-of-n: F and related systems through components’ rearrangement . Microelectronics and Reliability , 36 ( 10 ) : 1417 – 1423 .
   Web of Science ®Google Scholar
• Nakagawa , T. and Mizutani , S. 2009 . A summary of maintenance policies for a finite interval . Reliability Engineering & Systems Safety , 94 ( 1 ) : 89 – 96 .
   Web of Science ®Google Scholar
• Rao , P. N.S. and Naikan , V. N.A. 2009 . An algorithm for simultaneous optimization of parameters of condition-based preventive maintenance . Structural Health Monitoring – An International Journal , 8 ( 1 ) : 83 – 94 .
   Web of Science ®Google Scholar
• Shanthikumar , J. 1987 . Reliability of systems with consecutive minimal cutsets . IEEE Transactions on Reliability , 36 ( 5 ) : 546 – 550 .
   Web of Science ®Google Scholar
• Sheu , S. H. and Chang , C. C. 2009 . An extended periodic imperfect preventive maintenance model with age-dependent failure type . IEEE Transactions on Reliability , 58 ( 2 ) : 397 – 405 .
   Web of Science ®Google Scholar
• Sheu , S. H. and Chang , C. C. 2010 . Extended periodic imperfect preventive maintenance model of a system subjected to shocks . International Journal of Systems Science , 41 ( 10 ) : 1145 – 1153 .
   Web of Science ®Google Scholar
• Ushakov , I. 1986 . Universal generating function . Soviet Journal of Computer Systems Science , 24 ( 5 ) : 118 – 129 .
   Web of Science ®Google Scholar
• Wu , J. , Ng , T. S.A. , Xie , M. and Huang , H. Z. 2010 . Analysis of maintenance policies for finite life-cycle multi-state systems . Computer & Industrial Engineering , 59 ( 4 ) : 638 – 646 .
   Web of Science ®Google Scholar
• Yeh , W. C. 2009 . A convolution universal generating function method for evaluating the symbolic one-to-all-target-subset reliability function of acyclic multi-state information networks . IEEE Transactions on Reliability , 58 ( 3 ) : 476 – 484 .
   Web of Science ®Google Scholar
• Youssef , A. M.A. and ElMaraghy , M. A. 2008 . Performance analysis of manufacturing systems composed of modular machines using the universal generating function . Journal of Manufacturing Systems , 27 ( 2 ) : 55 – 69 .
   Web of Science ®Google Scholar
• Zhang , F. and Jardine , A. K.S. 1998 . Optimal maintenance models with minimal repair, periodic overhaul and complete renewal . IIE Transactions , 30 ( 12 ) : 1109 – 1119 .
   Web of Science ®Google Scholar
• Zuo , M. J. 1993 . Reliability of linear & circular consecutively connected systems . IEEE Transactions on Reliability , 42 ( 3 ) : 484 – 487 .
   Web of Science ®Google Scholar