대한수학회논문집 (Communications of the Korean Mathematical Society)
- 제10권3호
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- Pages.715-733
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- 1995
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
Transient diffusion approximation for $M/G/m/N$ queue with state dependent arrival rates
초록
We present a transient queue size distribution for $M/G/m/N$ queue with state dependent arrival rates, using the diffusion process with piecewise constant diffusion parameters, with state space [0, N] and elementary return boundaries at x = 0 and x = N. The model considered here contains not only many basic model but the practical models such as as two-node cyclic queue, repairmen model and overload control in communication system with finite storage buffer. For the accuracy check, we compare the approximation results with the exact and simulation results.