Optimal processing rate and buffer size of a jump-diffusion processing system

Xindan Li, Dan Tang, Yongjin Wang and Xuewei Yang ()

Annals of Operations Research, 2014, vol. 217, issue 1, 319-335

Abstract: 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. Copyright Springer Science+Business Media New York 2014

Keywords: Reflected jump-diffusion; Queueing systems; Optimal processing rate; Optimal buffer size (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10479-013-1521-2

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