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Journal Articles Performance Evaluation Year : 2021

Multiclass Energy Packet Networks with finite capacity energy queues

Abstract

Energy Packet Network (EPN) consists of a queueing network formed by N blocks, where each of them is formed by one data queue, that handles the workload, and one energy queue, that handles packets of energy. We study an EPN model where the energy packets start the transfer. In this model, energy packets are sent to the data queue of the same block. An energy packet routes one workload packet to the next block if the data queue is not empty, and it is lost otherwise. We assume that the energy queues have a finite buffer size and if an energy packet arrives to the system when the buffer is full, jump-over blocking (JOB) is performed, and therefore with some probability it is sent to the data queue and it is lost otherwise. We first provide a value of the jump-over blocking probability such that the steadystate probability distribution of packets in the queues admits a product form solution. The product form is established for multiserver and multiclass data packet queues under FCFS, preemptive LCFS and PS discipline. Moreover, in the case of a directed tree queueing network, we show that the number of data packets in each subtree decreases as the JOB probability increases for each block.
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Dates and versions

hal-03541754 , version 1 (31-05-2022)

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Sébastien Samain, Josu Doncel, Ana Bušić, Jean-Michel Fourneau. Multiclass Energy Packet Networks with finite capacity energy queues. Performance Evaluation, 2021, 152, pp.102228. ⟨10.1016/j.peva.2021.102228⟩. ⟨hal-03541754⟩
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