Document Zbl 1236.68021

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In this paper we study CIOQ switches with first-in-first-out (FIFO) buffers providing Quality of Service (QoS) guarantees. The goal of the switch policy is to maximize the total value of packets sent out of the switch. We analyze the performance of a switch policy by means of competitive analysis, where a uniform worst-case performance guarantee is provided for all traffic patterns. <span class="zbmathjax-textit">Y. Azar</span> and <span class="zbmathjax-textit">Y. Richter</span> [“An improved algorithm for CIOQ switches”, ACM Trans. Algorithms 2, No. 2, 282–295 (2006)] proposed the $\beta $-$PG$ algorithm (preemptive greedy with a preemption factor of $\beta $) that is 8-competitive for an arbitrary speedup value when $\beta =3$. We improve upon their result by showing that this algorithm achieves a competitive ratio of 7.5 and 7.47 for $\beta =3$ and $\beta =2.8$, respectively. Basically, we demonstrate that $\beta $-$PG$ is at most $\frac{\beta^{2} + 2\beta}{\beta - 1}$ and at least $\frac{\beta^{2}}{\beta - 1}$-competitive.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A6028468">Cited in <strong>12</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A68M20" title="MSC2020">68M20</a> </td> <td class="space"> Performance evaluation, queueing, and scheduling in the context of computer systems </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A68M10" title="MSC2020">68M10</a> </td> <td class="space"> Network design and communication in computer systems </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Abuffered+crossbar+switches">buffered crossbar switches</a>; <a href="/?q=ut%3Acontrol+policies">control policies</a>; <a href="/?q=ut%3Acompetitive+analysis">competitive analysis</a>; <a href="/?q=ut%3Acombined+input+and+output+queued+%28CIOQ%29+architectures">combined input and output queued (CIOQ) architectures</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1236.68021" data-ciurl="/ci/06028468" data-biburl="/bibtex/06028468.bib" data-amsurl="/amsrefs/06028468.bib" data-xmlurl="/xml/06028468.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06028468.pdf" title="Zbl 1236.68021 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00453-011-9539-9" aria-label="DOI for “Improved competitive performance bounds for CIOQ switches”" title="10.1007/s00453-011-9539-9">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Aiello, W., Kushilevitz, E., Ostrovsky, R., Rosén, A.: Dynamic routing on networks with fixed-size buffers. 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