--- _id: '2820' abstract: - lang: eng text: 'In this paper, we introduce the powerful framework of graph games for the analysis of real-time scheduling with firm deadlines. We introduce a novel instance of a partial-observation game that is suitable for this purpose, and prove decidability of all the involved decision problems. We derive a graph game that allows the automated computation of the competitive ratio (along with an optimal witness algorithm for the competitive ratio) and establish an NP-completeness proof for the graph game problem. For a given on-line algorithm, we present polynomial time solution for computing (i) the worst-case utility; (ii) the worst-case utility ratio w.r.t. a clairvoyant off-line algorithm; and (iii) the competitive ratio. A major strength of the proposed approach lies in its flexibility w.r.t. incorporating additional constraints on the adversary and/or the algorithm, including limited maximum or average load, finiteness of periods of overload, etc., which are easily added by means of additional instances of standard objective functions for graph games. ' author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Alexander full_name: Kößler, Alexander last_name: Kößler - first_name: Ulrich full_name: Schmid, Ulrich last_name: Schmid citation: ama: 'Chatterjee K, Kößler A, Schmid U. Automated analysis of real-time scheduling using graph games. In: Proceedings of the 16th International Conference on Hybrid Systems: Computation and Control. ACM; 2013:163-172. doi:10.1145/2461328.2461356' apa: 'Chatterjee, K., Kößler, A., & Schmid, U. (2013). Automated analysis of real-time scheduling using graph games. In Proceedings of the 16th International conference on Hybrid systems: Computation and control (pp. 163–172). Philadelphia, PA, United States: ACM. https://doi.org/10.1145/2461328.2461356' chicago: 'Chatterjee, Krishnendu, Alexander Kößler, and Ulrich Schmid. “Automated Analysis of Real-Time Scheduling Using Graph Games.” In Proceedings of the 16th International Conference on Hybrid Systems: Computation and Control, 163–72. ACM, 2013. https://doi.org/10.1145/2461328.2461356.' ieee: 'K. Chatterjee, A. Kößler, and U. Schmid, “Automated analysis of real-time scheduling using graph games,” in Proceedings of the 16th International conference on Hybrid systems: Computation and control, Philadelphia, PA, United States, 2013, pp. 163–172.' ista: 'Chatterjee K, Kößler A, Schmid U. 2013. Automated analysis of real-time scheduling using graph games. Proceedings of the 16th International conference on Hybrid systems: Computation and control. HSCC: Hybrid Systems - Computation and Control, 163–172.' mla: 'Chatterjee, Krishnendu, et al. “Automated Analysis of Real-Time Scheduling Using Graph Games.” Proceedings of the 16th International Conference on Hybrid Systems: Computation and Control, ACM, 2013, pp. 163–72, doi:10.1145/2461328.2461356.' short: 'K. Chatterjee, A. Kößler, U. Schmid, in:, Proceedings of the 16th International Conference on Hybrid Systems: Computation and Control, ACM, 2013, pp. 163–172.' conference: end_date: 2013-04-11 location: Philadelphia, PA, United States name: 'HSCC: Hybrid Systems - Computation and Control' start_date: 2013-04-08 date_created: 2018-12-11T11:59:46Z date_published: 2013-04-01T00:00:00Z date_updated: 2023-09-27T12:52:38Z day: '01' department: - _id: KrCh doi: 10.1145/2461328.2461356 ec_funded: 1 language: - iso: eng month: '04' oa_version: None page: 163 - 172 project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 2587B514-B435-11E9-9278-68D0E5697425 name: Microsoft Research Faculty Fellowship publication: 'Proceedings of the 16th International conference on Hybrid systems: Computation and control' publication_identifier: isbn: - '978-1-4503-1567-8 ' publication_status: published publisher: ACM publist_id: '3981' quality_controlled: '1' related_material: record: - id: '738' relation: later_version status: public scopus_import: 1 status: public title: Automated analysis of real-time scheduling using graph games type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2013' ...