On Computing Signatures of k-out-of-n Systems Consisting of Modules

Gaofeng Da1, Lvyu Xia1, Taizhong Hu1
1Department of Statistics and Finance, School of Management, University of Science and Technology of China, Hefei, Anhui 230026, People’s Republic of China

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Tài liệu tham khảo

Barlow RE, Proschan F (1981) Statistical theorey of reliability and life testing: probability models. To Begin With, Silver Spring, Maryland,

Boland PJ (2001) Signatures of indirect majority systems. J Appl Probab 38:597–603

Chiang DT, Niu SC (1981) Reliability of consecutive k-out-of-n:F systems. IEEE Trans Reliab R30:87–89

Da G, Zheng B, Hu T (2012) On computing signatures of coherent systems. J Multivar Anal 103:142–150

Eryilmaz S (2010) Mixture representations for the reliability of consecutive-k systems. Math Comput Model 51:405–412

Eryilmaz S (2012) On signatures of series and parallel systems consisting of modules with arbitrary structures. Technical Report, Department of Mathematics, Izmir University of Economics, Turkey

Gertsbakh I, Shpungin Y, Spizzichino F (2011) Signatures of coherent systems built with separate modules. J Appl Probab 48:843–855

Kochar S, Mukerjee H, Samaniego FJ (1999) The “signature” of a coherent system and its application to comparison among systems. Nav Res Logist 46:507–523

Kuo W, Zuo MJ (2003) Optimal reliability modeling, principles and applications. Wiley, New York

Marichal J-L, Mathonet P (2011) Extensions of system signatures to dependent lifetimes: explicit expressions and interpretations. J Multivar Anal 102:931–936

Marichal J-L, Mathonet P, Waldhauser T (2011) On signature-based expressions of system reliability. J Multivar Anal 102:1410–1416

Navarro J, Eryilmaz S (2007) Mean residual lifetimes of consecutive k-out-of-n systems. J Appl Probab 44:82–98

Navarro J, Rubio R (2010) Computation of signatures of coherent systems with five components. Commun Stat, Simul Comput 39:68–84

Navarro J, Ruiz JM, Sandoval CJ (2005) A note on comparisons among coherent systems with dependent components using signatures. Stat Probab Lett 72:179–185

Navarro J, Ruiz JM, Sandoval CJ (2007) Properties of coherent systems with dependent components. Commun Stat, Theory Methods 36:175–191

Navarro J, Rychlik T (2007) Reliability and expectation bounds for coherent systems with exchangeable components. J Multivar Anal 98:102–113

Navarro J, Rychlik T (2010) Comparisons and bounds for expected lifetimes of reliability systems. Eur J Oper Res 207:309–317

Navarro J, Samaniego FJ, Balakrishnan N (2010) The joint signature of coherent systems with shared components. J Appl Probab 47:235–253

Navarro J, Samaniego FJ, Balakrishnan N (2011) Signature-based representations for the reliability of systems with heterogeneous components. J Appl Probab 48:856–867

Navarro J, Samaniego FJ, Balakrishnan N, Bhattacharya D (2008) On the application and extension of system signatures in engineering reliability. Nav Res Logist 55:313–327

Samaniego FJ (1985) On closure of the IFR class under formation of coherent systems. IEEE Trans Reliab R-34:69–72

Samaniego FJ (2007) System signatures and their applications in engineering reliability. Springer, New York

Triantafyllou IS, Koutras MV (2008) On the signature of coherent systems and applications. Probab Eng Inf Sci 22:19–35