Asymptotic analysis of a queueing system by a two-dimensional state space
Keyword(s):
Long Run
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A technique is developed for the analysis of the asymptotic behaviour in the long run of queueing systems with two waiting lines. The generating function of the time-dependent joint queue-length distribution is obtained with the aid of the theory of boundary value problems of the Riemann–Hilbert type and by introducing a conformal mapping of the unit disk onto a given domain. In the asymptotic analysis an extensive use is made of theorems on the boundary behaviour of such conformal mappings.
Keyword(s):
1966 ◽
Vol 28
(1)
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pp. 190-201
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Keyword(s):
2014 ◽
Vol 28
(3)
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pp. 363-387
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