Abstract
A stepped jump process of a semi-Markov walk with two delay screens at zero and at a is constructed. The Laplace transformation of the distribution of the time of the system sojourn within a given band and its first and second moments are found.
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Gikhman, I.I., and Skorokhod, A.V., Teoriya sluchainykh protsessov (Theory of random processes), Moscow: Nauka, 1973, vol. 2, pp. 450–453.
Borovkov, A.A., On a walk within a band with delay bounds, Matematicheskie zametki, 1975, vol. 17, no. 4, pp. 649–657.
Lotov, V.I., On random walks within a band, Teoriya veroyatnostei i ee primenenie, 1991, vol. 6,issue 1, pp. 160–165.
Nasirova, T.I., Protsessy polumarkovskogo bluzhdaniya (Processes of a semi-Markov walk), Baku: Elm, 1984, pp. 50–51.
Borovkov, A.A., Veroyatnostnye protsessy v teorii massovogo obsluzhivaniya (Probabilistic processes in queuing theory), Moscow: Nauka, 1972.
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Original Russian Text © T.I. Nasirova, R.I. Sadikova, 2009, published in Avtomatika i Vychislitel’naya Tekhnika, 2009, No. 4, pp. 30–36.
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Nasirova, T.I., Sadikova, R.I. Laplace transformation of the distribution of the time of system sojourns within a band. Aut. Conrol Comp. Sci. 43, 190–194 (2009). https://doi.org/10.3103/S014641160904004X
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DOI: https://doi.org/10.3103/S014641160904004X