A BIRTH PROCESS WITH A RANDOM BIRTH RATE
Autor: | G Haynatzki, Srikanth K. Iyer, N Schumacher, M Dayal, J Gani |
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Jazyk: | angličtina |
Rok vydání: | 1995 |
Předmět: | |
Zdroj: | Bulletin of informatics and cybernetics. 27(1):23-30 |
ISSN: | 0286-522X |
Popis: | This note extends the results of the classical birth process to the case where the birth parameter is a two-state Markov chain. Partial differential equations for the two components $ phi_1(z, t) $ and $ phi_2(z, t) $ of the probability generating function of the process are derived, and Laplace transforms of these taken. Solutions are then found for $ phi_1(z, t) $ and $ phi_2(z, t) $ by standard methods of analysis. |
Databáze: | OpenAIRE |
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