Document Zbl 07983603

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Comput. Sci.</a> <a href="/?q=in%3A523765" title="Articles in this Issue">1030, Article ID 115062, 13 p. (2025)</a>. </div> <div class="abstract">Summary: We study a popular task model for scheduling parallel real-time tasks, where the internal parallelism of each task is modeled by a directed acyclic graph (DAG). We show that deciding the feasibility of a set of sporadically recurrent DAG tasks is hard for the complexity class $\mathsf{PSPACE}$, thus ruling out approaches to this problem that rely on Integer Linear Programming or Satisfiability solvers (assuming $\mathsf{NP} \neq \mathsf{PSPACE}$).</div> <div class="clear"></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%3A68Q17" title="MSC2020">68Q17</a> </td> <td class="space"> Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A68R10" title="MSC2020">68R10</a> </td> <td class="space"> Graph theory (including graph drawing) in computer science </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Areal-time+scheduling">real-time scheduling</a>; <a href="/?q=ut%3Acomputational+complexity">computational complexity</a>; <a href="/?q=ut%3Aprecedence+constraints">precedence constraints</a>; <a href="/?q=ut%3Asporadic+task+system">sporadic task system</a>; <a href="/?q=ut%3Afeasibility+testing">feasibility testing</a>; <a href="/?q=ut%3Aparallel+computing">parallel computing</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 07983603" data-ciurl="/ci/07983603" data-biburl="/bibtex/07983603.bib" data-amsurl="/amsrefs/07983603.bib" data-xmlurl="/xml/07983603.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07983603.pdf" title="Zbl 07983603 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/10.1016/j.tcs.2024.115062" aria-label="DOI for “Feasibility analysis of recurrent DAG tasks is $\mathsf{PSPACE}$-hard”" title="10.1016/j.tcs.2024.115062">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">Baruah, Sanjoy K.; Bertogna, Marko; Buttazzo, Giorgio C., Multiprocessor Scheduling for Real-Time Systems, 2015, Springer · <a href="/1314.68003" class="nowrap">Zbl 1314.68003</a></td> </tr><tr> <td>[2]</td> <td class="space">Baruah, Sanjoy K.; Bonifaci, Vincenzo; Marchetti-Spaccamela, Alberto, The global EDF scheduling of systems of conditional sporadic DAG tasks, (27th Euromicro Conference on Real-Time Systems. 27th Euromicro Conference on Real-Time Systems, ECRTS 2015, Lund, Sweden, July 8-10, 2015, 2015, IEEE Computer Society), 222-231</td> </tr><tr> <td>[3]</td> <td class="space">Baruah, Sanjoy K.; Bonifaci, Vincenzo; Marchetti-Spaccamela, Alberto; Stougie, Leen; Wiese, Andreas, A generalized parallel task model for recurrent real-time processes, (Proceedings of the 33rd IEEE Real-Time Systems Symposium. 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