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Waldmann, K.-H.

Bounds for the renewal function. (English) Zbl 0449.60058

OR Spektrum 2, 75-78 (1980).
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Cited in 4 Documents

MSC:

60K05 Renewal theory

Keywords:

upper and lower bounds; renewal equation; renewal function

Citations:

Zbl 0232.60078
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Full Text: DOI

References:

[1] Collatz L (1964) Funktionalanalysis und Numerische Mathematik. Springer, Berlin Göttingen Heidelberg · Zbl 0139.09802
[2] Gaede K-W (1977) Zuverlässigkeitstheorie, Mathematische Modelle. Carl Hanser, München Wien · Zbl 0375.60003
[3] Karlin S, Taylor HM (1975) A first course in stochastic processes. 2nd Ed. Academic Press, New York · Zbl 0315.60016
[4] Marshall K T (1973) Linear bounds on the renewal function. SIAM J Appl Math 24:245–250 · Zbl 0251.60053 · doi:10.1137/0124026
[5] Porteus EL (1971) Some bounds for discounted sequential decision processes. Manage Sci 18:7–11 · Zbl 0232.90004 · doi:10.1287/mnsc.18.1.7
[6] Schellhaas H (1979) Über Semi-Markoffsche Entscheidungsprozesse mit endlichem Horizont. Proceedings in Operations Research, Vol 8, Gaede KW et al. (eds). Physica Verlag, Würzburg Wien, pp 122–129 · Zbl 0432.90079
[7] Siegel G, Wünsche S (1979) Abschätzungen der Erneuerungsfunktion. Math Operationsforsch Statist Ser Optim 10:265–275 · Zbl 0418.60086
[8] Störmer H (1970) Mathematische Theorie der Zuverlässigkeit. R. Oldenbourg-Verlag, München · Zbl 0193.19802
[9] Walk H (1975) Inverspositive Operatoren und Taubersätze in der Erneuerungstheorie. Monatsh Math 79:333–346 · Zbl 0329.60057 · doi:10.1007/BF01647335
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