We investigate an impulsive storage process switched by a jump process. The switching process is, in turn, averaged. We prove the weak convergence of the storage process in the scheme of series where a small parameter ε tends to zero.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 9, pp. 1282–1286, September, 2008.
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Samoilenko, I.V. Convergence of an impulsive storage process with jump switchings. Ukr Math J 60, 1492–1497 (2008). https://doi.org/10.1007/s11253-009-0138-8
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DOI: https://doi.org/10.1007/s11253-009-0138-8