Asymptotic normality of discounted random series with applications in reliability and queueing
| Autor(en): | Stadje, W | Stichwörter: | age replacement policy; discounted random series; normal distribution; Operations Research & Management Science; REPLACEMENT; single-server queue; workload | Erscheinungsdatum: | 1997 | Herausgeber: | ELSEVIER SCIENCE BV | Enthalten in: | OPERATIONS RESEARCH LETTERS | Band: | 20 | Ausgabe: | 5 | Startseite: | 229 | Seitenende: | 235 | Zusammenfassung: | It is proved that a certain kind of randomly discounted random sums is asymptotically normal as the discount constant tends to zero. For replaceable systems with random lifetime, these sums represent the total discounted cost of policies of the age-replacement type; other applications to queueing and related areas are also indicated. (C) 1997 Elsevier Science B.V. |
ISSN: | 01676377 | DOI: | 10.1016/S0167-6377(97)00014-X |
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