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Erneuerungsprozesse mit Wartungsstrategien

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Summary

The following renewal process is considrred: given intervals (kt 1,(k+1)t 1],k=0, 1, 2, ..., 0<t 1<∞, there will be with probabilityp, 0≤p≤1, a renewal in each interval at a time selected by random. The costs for each of this renewals are a units, while the costs of the other renewals areb units each. The renewal function and the cost function are derivided and their asymptotic behavior is discussed.

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Literaturverzeichnis

  • Bosch, K.: Ein Modell aus der Erneuerungstheorie. Angewandte Informatik10, 1974, 451–452.

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  • ——: Erneuerungsprozesse mit Erneuerungen zu verschiedenen Kosten, Angewandte Informatik4, 1975, 143–150.

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  • Bosch, K., undH. Richter: Über den Erwartungswert der bis zur Zeitt angekommenen Kunden einer Warteschlange bei gleichverteilten Ankunftszeiten. Metrika17, 1967, 1–5.

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Authors and Affiliations

  1. Institut für Angewandte Mathematik und Statistik, Universität Hohenheim, Schloß-Westhof-Süd, 7000, Stuttgart-Hohenheim

    K. Bosch

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  1. K. Bosch
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Bosch, K. Erneuerungsprozesse mit Wartungsstrategien. Metrika 24, 65–74 (1977). https://doi.org/10.1007/BF01893393

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  • DOI: https://doi.org/10.1007/BF01893393

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