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Optimal processing rate and buffer size of a jump-diffusion processing system
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DOI：10.1007/s10479-013-1521-2.png)
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In this paper, we propose a reflected jump-diffusion model for processing systems with finite buffer size. We derive an analytic expression for the total expected discounted managing cost, which facilitates finding (numerically) the optimal processing rate and buffer size that minimize the total cost. Moreover, the formula for steady-state density of the processing system is obtained.
Keyword:
Reflected jump-diffusion
Queueing systems
Optimal processing rate
Optimal buffer size
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