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Boundary Functionals for the Difference of Nonordinary Renewal Processes with Discrete Time

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Ukrainian Mathematical Journal Aims and scope

Abstract

For the difference of nonordinary renewal processes, we find the distribution of the main boundary functionals. For the queuing system D δη |D κξ |1, we determine the distribution of the number of calls in transient and stationary modes.

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REFERENCES

  1. I. I. Ezhov and V. F. Kadankov, “On the generating function of the time of first hitting the boundary by a semicontinuous difference of independent renewal processes with discrete time,” Ukr. Mat. Zh., 52, No.4, 553–561 (2000).

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  2. I. I. Ezhov and V. F. Kadankov, “On the distribution of the maximum of the difference of independent renewal processes with discrete time,” Ukr. Mat. Zh., 50, No.10, 1426–1432 (1998).

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  3. B. Pirdzhanov, “Semi-Markov random walk on the superposition of two renewal processes,” Ukr. Mat. Zh., 42, No.11, 1500–1508 (1990).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    I. I. Ezhov & V. F. Kadankov

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  1. I. I. Ezhov
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  2. V. F. Kadankov
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Ezhov, I.I., Kadankov, V.F. Boundary Functionals for the Difference of Nonordinary Renewal Processes with Discrete Time. Ukrainian Mathematical Journal 52, 1539–1553 (2000). https://doi.org/10.1023/A:1010449016978

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  • DOI: https://doi.org/10.1023/A:1010449016978

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