ON GAVER’S PARALLEL SYSTEM
<p>ENGLISH ABSTRACT: Gaver’s parallel system (and its variants) has received considerable attention in the literature. The Laplace-transform (LT) of the survival function, corresponding to the underlying systems, has been derived by various (alternative) methods. Unfortunately, little-...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Stellenbosch University
2012-01-01
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| Series: | South African Journal of Industrial Engineering |
| Online Access: | http://sajie.journals.ac.za/pub/article/view/210 |
| _version_ | 1819228893658218496 |
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| author | E.J. Vanderperre V.S.S. Yadavalli S.S. Makhanov |
| author_facet | E.J. Vanderperre V.S.S. Yadavalli S.S. Makhanov |
| author_sort | E.J. Vanderperre |
| collection | DOAJ |
| description | <p>ENGLISH ABSTRACT: Gaver’s parallel system (and its variants) has received considerable attention in the literature. 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.</p><p>AFRIKAANSE OPSOMMING: 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 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.</p> |
| first_indexed | 2024-12-23T11:04:31Z |
| format | Article |
| id | doaj.art-15680ae315da43089729dbb3ccb11342 |
| institution | Directory Open Access Journal |
| issn | 1012-277X 2224-7890 |
| language | English |
| last_indexed | 2024-12-23T11:04:31Z |
| publishDate | 2012-01-01 |
| publisher | Stellenbosch University |
| record_format | Article |
| series | South African Journal of Industrial Engineering |
| spelling | doaj.art-15680ae315da43089729dbb3ccb113422022-12-21T17:49:31ZengStellenbosch UniversitySouth African Journal of Industrial Engineering1012-277X2224-78902012-01-01152ON GAVER’S PARALLEL SYSTEME.J. VanderperreV.S.S. YadavalliS.S. Makhanov<p>ENGLISH ABSTRACT: Gaver’s parallel system (and its variants) has received considerable attention in the literature. 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.</p><p>AFRIKAANSE OPSOMMING: 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 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.</p>http://sajie.journals.ac.za/pub/article/view/210 |
| spellingShingle | E.J. Vanderperre V.S.S. Yadavalli S.S. Makhanov ON GAVER’S PARALLEL SYSTEM South African Journal of Industrial Engineering |
| title | ON GAVER’S PARALLEL SYSTEM |
| title_full | ON GAVER’S PARALLEL SYSTEM |
| title_fullStr | ON GAVER’S PARALLEL SYSTEM |
| title_full_unstemmed | ON GAVER’S PARALLEL SYSTEM |
| title_short | ON GAVER’S PARALLEL SYSTEM |
| title_sort | on gaver s parallel system |
| url | http://sajie.journals.ac.za/pub/article/view/210 |
| work_keys_str_mv | AT ejvanderperre ongaversparallelsystem AT vssyadavalli ongaversparallelsystem AT ssmakhanov ongaversparallelsystem |