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

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

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 cos...

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Veröffentlicht in:Annals of operations research 2014-06, Vol.217 (1), p.319-335
Hauptverfasser: Li, Xindan, Tang, Dan, Wang, Yongjin, Yang, Xuewei
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Behavior
Buffer stocks
Buffers
Business and Management
Centrifuges
Combinatorics
Control theory
Cost analysis
Cost engineering
Density
Diffusion
Electronic data processing
Exact solutions
Information systems
Mathematical analysis
Mathematical models
Mathematical research
Operations research
Operations Research/Decision Theory
Optimization
Queuing
Studies
Theory of Computation
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Beschreibung
Zusammenfassung: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.
ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-013-1521-2