An application of Kapteyn series to a problem from queueing theory
Diego Dominici
TL;DR
This paper applies properties of Kapteyn series to derive exact solutions for a problem in queueing theory, demonstrating a novel mathematical approach to solving such problems.
Contribution
It introduces a new method using Kapteyn series to obtain exact solutions in queueing theory problems, bridging special functions and applied probability.
Findings
Exact solutions derived for a queueing theory problem
Demonstrates the utility of Kapteyn series in applied mathematics
Provides a new analytical tool for queueing models
Abstract
We obtain exact solutions of a problem arising from queueing theory using properties of Kapteyn series.
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Taxonomy
TopicsFuzzy Systems and Optimization · Multi-Criteria Decision Making · Advanced Queuing Theory Analysis