# On Gaver's parallel system

 dc.contributor.author Vanderperre, E.J. dc.contributor.author Yadavalli, Venkata S. Sarma dc.contributor.author Makhanov, S.S. dc.date.accessioned 2012-11-27T07:28:33Z dc.date.available 2012-11-27T07:28:33Z dc.date.issued 2004 dc.description.abstract Gaver’s parallel system (and its variants) has received considerable attention in the literature. en_US The Laplace-transform (LT) of the survival function, corresponding to the underlying systems, has been derived by various (alternative) methods. Unfortunately, little-to-no attention has been paid to invert the corresponding transform. First, we present a general reliability analysis of Gaver’s basic parallel system (valid for an arbitrary repair time distribution). Then, we formulate some general hints to obtain the numerical inverse. Finally, we propose a tangible methodology to derive the exact inverse in some particular but important cases of non-rotational transforms. dc.description.abstract Gaver se parallelsisteem (en variante daarvan) is reeds dikwels behandel in die literatuur. Die Laplacetransformasie van die oorlewingsfunksie van die onderliggende sisteme is reeds afgelei op verskillende uiteenlopende wyses. Ongelukkigerwys is min aandag gegee aan die ooreenstemmende inverse transformasie. Ten aanvang word 'n algemene en_US betroubaarheidsontleding van Gaver se basiese parallelsisteem voorgehou (geldig vir 'n arbitrêre hersteltyd-verdeling). Dit word gevolg deur wenke vir bepaling van die numeriese inverse. Ten slotte word 'n tasbare metodologie vir die afleiding van die presiese inverse vir sekere belangrike nie-rotasionele transformasies voorgestel. dc.description.uri http://sajie.journals.ac.za en_US dc.format.extent 7 pages en_US dc.format.medium PDF en_US dc.identifier.citation Vanderperre, EJ, Yadavalli, VSS & Makhanov, SS 2004, 'On Gaver's parallel system', The South African Journal of Industrial Engineering, vol. 15, no. 2, pp. 141-147. [http://sajie.journals.ac.za] en_US dc.identifier.issn 1012-277X (print) dc.identifier.issn 2224-7890 (online) dc.identifier.uri http://hdl.handle.net/2263/20510 dc.language.iso en en_US dc.publisher Southern African Institute for Industrial Engineering en_US dc.rights Southern African Institute for Industrial Engineering en_US dc.subject Gaver’s parallel system en_US dc.subject Laplacetransform en_US dc.subject Transient differential equations en_US dc.title On Gaver's parallel system en_US dc.type Article en_US
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