{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T14:40:03Z","timestamp":1723128003326},"reference-count":0,"publisher":"Informa UK Limited","issue":"2","license":[{"start":{"date-parts":[[1998,1,1]],"date-time":"1998-01-01T00:00:00Z","timestamp":883612800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics and Decision Sciences"],"published-print":{"date-parts":[[1998,1,1]]},"abstract":"<jats:p>Consider a series system consisting of n components of k types. Whenever a unit fails,\nit is replaced immediately by a new one to keep the system working. Under the assumption that\nall the life lengths of the components are independent and exponentially distributed and that the\nreplacement policies depend only on the present state of the system at each failure, the system\nmay be represented by a birth and death process. The existence of the optimum replacement\npolicies are discussed and the <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>\u03b5<\/mml:mi><\/mml:math>-optimal policies axe derived. If the past experience of the system\ncan also be utilized, the process is not a Markov process. The optimum Bayesian policies are\nderived and the properties of the resulting process axe studied. Also, the stochastic processes\nare simulated and the probability of absorption, the mean time to absorption and the average\nproportion of the retrograde motion are approximated.<\/jats:p>","DOI":"10.1155\/s1173912698000078","type":"journal-article","created":{"date-parts":[[2007,3,8]],"date-time":"2007-03-08T07:44:28Z","timestamp":1173339868000},"page":"133-145","source":"Crossref","is-referenced-by-count":2,"title":["On selecting the most reliable components"],"prefix":"10.1080","volume":"2","author":[{"given":"Dylan","family":"Shi","sequence":"first","affiliation":[{"name":"Department of Mathematics, Indiana University Southeast, New Albany 47150, IN, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","container-title":["Journal of Applied Mathematics and Decision Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/1998\/239090.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/1998\/239090.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T14:22:55Z","timestamp":1723126975000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/ads\/1998\/239090\/abs\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,1,1]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1998,1,1]]}},"alternative-id":["239090"],"URL":"https:\/\/doi.org\/10.1155\/s1173912698000078","relation":{},"ISSN":["1173-9126"],"issn-type":[{"type":"print","value":"1173-9126"}],"subject":[],"published":{"date-parts":[[1998,1,1]]}}}