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Queueing Systems - Vol. 1: Theory

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The article was published on 2013-01-01 and is currently open access. It has received 540 citations till now. The article focuses on the topics: Layered queueing network & Bulk queue.

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Processes, lattice path combinatorics and continued fractions

TL;DR: In this article, the Laplace transforms of a number of transient characteristics of a birth-and-death process are obtained systematically in terms of a fundamental continued fraction and its family of convergent polynomials.
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Optimal management of a finite M/M/R queueing system with multiple customer classes.

TL;DR: In this paper, the authors analyzed an M/M/R queueing system with finite capacity N where customers have multiple classes with no priorities under steady-state conditions, and they derived the minimum expected cost, the optimal system capacity and the optimal number of servers.
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Cross-Layer Power Allocation for Packet Transmission Over Fading Channel

TL;DR: This paper considers the power control problem in a cross-layer design where adaptive modulation is adopted at physical layer to improve spectral efficiency and the queues are modeled as of finite length at data link layer, and proposes two-parameter power allocation functions to achieve suboptimal results with low complexity.
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Analysis of a pricing method for elastic services with guaranteed GoS

TL;DR: A method for evaluating the price of a service based on elastic reservations with a guaranteed Grade of Service, which could be extended to the case of multiple classes of independent and guaranteed elastic services, applying the method to each service with its estimated demand and revenue functions.