Shashanka Ubaru, Lior Horesh, et al.
Journal of Biomedical Informatics
Sufficient conditions are established for approximation of the overflow probability in a stochastic service system with capacity C by the probability that the related infinite-capacity system has C customers. These conditions are that (a) the infinite-capacity system has negligible probability of C or more customers; (b) the probabilities of states with exactly C customers for the infinite-capacity system are nearly proportional to the same probabilities for the finite- capacity system. Condition (b) is controlling if the probabilities for the infinite-capacity system are rescaled so that the probability of at most C customers is unity. For systems with precisely one state with C customers, such as birth-and-death processes, the latter approximation is exact even when condition (a) does not hold. © 1978.
Shashanka Ubaru, Lior Horesh, et al.
Journal of Biomedical Informatics
Y.Y. Li, K.S. Leung, et al.
J Combin Optim
Corneliu Constantinescu
SPIE Optical Engineering + Applications 2009
Laxmi Parida, Pier F. Palamara, et al.
BMC Bioinformatics