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On dams with continuous semi-Markovian inputs. (English) Zbl 0229.60066


MSC:

60K15 Markov renewal processes, semi-Markov processes
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References:

[1] Ali Khan, M. S.; Gani, J., Infinite dams with inputs forming a Markov chain, J. Appl. Prob., 5, 72-83 (1968) · Zbl 0182.53301
[2] Çinlar, E., Queues with semi-Markovian arrivals, J. Appl. Prob., 4, 365-379 (1967) · Zbl 0153.20001
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[10] Neuts, M. F., The single server queue with Poisson input and semi-Markov service times, J. Appl. Prob., 3, 202-230 (1966) · Zbl 0204.20003
[11] Orey, S., Change of time scale for Markov processes, Trans. Amer. Math. Soc., 99, 384-397 (1961) · Zbl 0102.14003
[12] Pyke, R.; Schaufele, R., The existence and uniqueness of stationary measures for Markov renewal processes, Ann. Math. Statist., 37, 1439-1462 (1966) · Zbl 0154.42901
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