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NHHS|http://www.sjpub.org/authorfaq.html NHHS|http://www.sjpub.org/joineditors.html NHHS|http://www.sjpub.org/joinreviewers.html NHHS|http://www.sjpub.org/sitemap.html vti_cachedneedsrewrite:BR|false vti_cachedhasbots:BR|false vti_cachedhastheme:BR|false vti_cachedhasborder:BR|false vti_metatags:VR|HTTP-EQUIV=Content-Type text/html;\\ charset=iso-8859-1 citation_author M.Y.\\ Haggag citation_title Cost\\ Analysis\\ of\\ K-Out\\ Of-N\\ Repairable\\ System\\ Using\\ a\\ Continuous-Time\\ Discrete-State\\ Markov\\ Process citation_pdf_url http://www.sjpub.org/sjms/sjms-108.pdf citation_year 2014 citation_online_date 2014 citation_journal_title Science\\ Journal\\ of\\ Mathematics\\ and\\ Statistics citation_abstract Problem\\ statement:\\ This\\ paper\\ deals\\ with\\ a\\ statistical\\ analysis\\ of\\ k-out\\ of-n\\ repairable\\ system\\ with\\ dependent\\ failure\\ and\\ standby\r\nsupport\\ with\\ repair\\ facility.\\ The\\ entire\\ system\\ is\\ working\\ if\\ at\\ least\\ k\\ of\\ its\\ n\\ components\\ are\\ operating.\\ The\\ failure\\ of\\ any\\ working\\ unit\\ of\\ a\r\nsystem\\ results\\ in\\ the\\ reduction\\ of\\ the\\ efficiency\\ of\\ the\\ whole\\ system\\ and\\ as\\ the\\ result,\\ the\\ reliability\\ of\\ the\\ system\\ reduced.\\ The\\ standby\\ unit\r\nsupport\\ increases\\ the\\ reliability\\ of\\ the\\ system.\\ Approach:\\ Determine\\ the\\ effect\\ of\\ repairing\\ failed\\ units\\ on\\ the\\ reliability\\ of\\ the\\ system\\ and\r\ndetermine\\ the\\ profit\\ function.\\ Using\\ a\\ continuous-time\\ discrete-state\\ Markov\\ process,\\ the\\ system\\ characteristics\\ are\\ obtained.\\ To\\ validate\\ the\r\ntheoretical\\ results,\\ numerical\\ computations\\ are\\ derived.\\ Tables\\ and\\ graphs\\ have\\ also\\ been\\ given\\ in\\ the\\ end.\\ Results:\\ These\\ results\\ indicated\\ that\r\nthe\\ system\\ characteristics\\ with\\ repairing\\ a\\ failed\\ unit\\ are\\ greater\\ than\\ the\\ system\\ without\\ repairing\\ with\\ respect\\ to\\ the\\ MTSF,\\ steady\\ state\r\navailability\\ and\\ the\\ profit.\\ Conclusion:\\ We\\ concluded\\ that\\ the\\ system\\ with\\ repair\\ is\\ better\\ than\\ the\\ system\\ without\\ with\\ respect\\ to\\ the\\ MTSF,\r\nsteady\\ state\\ availability\\ and\\ the\\ profit. dc.rights http://creativecommons.org/licenses/by/3.0/ citation_volume 2014 citation_publisher Science\\ Journal\\ Publication citation_issn 2276-6324 citation_abstract_html_url http://www.sjpub.org/sjms/abstract/sjms-108.html vti_charset:SR|iso-8859-1