Abstract
The same type of approximations used in the last section to describe the (marginal) distribution of Ns (t) can also be used to describe the conditional distribution of Ns (t) given Ni(t), or their joint distribution. The existence of another parameter in the distribution, the value of Ni(t), will not only make the formulas more complex but also more difficult to display graphically. Detailed numerical estimates of the joint distribution are not of great practical concern, but there are some interesting qualitative effects that help to explain certain features of the marginal distributions obtained in Section 4.
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© 1984 Springer-Verlag Berlin Heidelberg
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Newell, G.F. (1984). Joint distributions. In: The M/M/∞Service System with Ranked Servers in Heavy Traffic. Lecture Notes in Economics and Mathematical Systems, vol 231. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45576-6_5
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DOI: https://doi.org/10.1007/978-3-642-45576-6_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13377-3
Online ISBN: 978-3-642-45576-6
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