--- _id: '738' abstract: - lang: eng text: 'This paper is devoted to automatic competitive analysis of real-time scheduling algorithms for firm-deadline tasksets, where only completed tasks con- tribute some utility to the system. Given such a taskset T , the competitive ratio of an on-line scheduling algorithm A for T is the worst-case utility ratio of A over the utility achieved by a clairvoyant algorithm. We leverage the theory of quantitative graph games to address the competitive analysis and competitive synthesis problems. For the competitive analysis case, given any taskset T and any finite-memory on- line scheduling algorithm A , we show that the competitive ratio of A in T can be computed in polynomial time in the size of the state space of A . Our approach is flexible as it also provides ways to model meaningful constraints on the released task sequences that determine the competitive ratio. We provide an experimental study of many well-known on-line scheduling algorithms, which demonstrates the feasibility of our competitive analysis approach that effectively replaces human ingenuity (required Preliminary versions of this paper have appeared in Chatterjee et al. ( 2013 , 2014 ). B Andreas Pavlogiannis pavlogiannis@ist.ac.at Krishnendu Chatterjee krish.chat@ist.ac.at Alexander Kößler koe@ecs.tuwien.ac.at Ulrich Schmid s@ecs.tuwien.ac.at 1 IST Austria (Institute of Science and Technology Austria), Am Campus 1, 3400 Klosterneuburg, Austria 2 Embedded Computing Systems Group, Vienna University of Technology, Treitlstrasse 3, 1040 Vienna, Austria 123 Real-Time Syst for finding worst-case scenarios) by computing power. For the competitive synthesis case, we are just given a taskset T , and the goal is to automatically synthesize an opti- mal on-line scheduling algorithm A , i.e., one that guarantees the largest competitive ratio possible for T . We show how the competitive synthesis problem can be reduced to a two-player graph game with partial information, and establish that the compu- tational complexity of solving this game is Np -complete. The competitive synthesis problem is hence in Np in the size of the state space of the non-deterministic labeled transition system encoding the taskset. Overall, the proposed framework assists in the selection of suitable scheduling algorithms for a given taskset, which is in fact the most common situation in real-time systems design. ' article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Andreas full_name: Pavlogiannis, Andreas id: 49704004-F248-11E8-B48F-1D18A9856A87 last_name: Pavlogiannis orcid: 0000-0002-8943-0722 - first_name: Alexander full_name: Kößler, Alexander last_name: Kößler - first_name: Ulrich full_name: Schmid, Ulrich last_name: Schmid citation: ama: Chatterjee K, Pavlogiannis A, Kößler A, Schmid U. Automated competitive analysis of real time scheduling with graph games. Real-Time Systems. 2018;54(1):166-207. doi:10.1007/s11241-017-9293-4 apa: Chatterjee, K., Pavlogiannis, A., Kößler, A., & Schmid, U. (2018). Automated competitive analysis of real time scheduling with graph games. Real-Time Systems. Springer. https://doi.org/10.1007/s11241-017-9293-4 chicago: Chatterjee, Krishnendu, Andreas Pavlogiannis, Alexander Kößler, and Ulrich Schmid. “Automated Competitive Analysis of Real Time Scheduling with Graph Games.” Real-Time Systems. Springer, 2018. https://doi.org/10.1007/s11241-017-9293-4. ieee: K. Chatterjee, A. Pavlogiannis, A. Kößler, and U. Schmid, “Automated competitive analysis of real time scheduling with graph games,” Real-Time Systems, vol. 54, no. 1. Springer, pp. 166–207, 2018. ista: Chatterjee K, Pavlogiannis A, Kößler A, Schmid U. 2018. Automated competitive analysis of real time scheduling with graph games. Real-Time Systems. 54(1), 166–207. mla: Chatterjee, Krishnendu, et al. “Automated Competitive Analysis of Real Time Scheduling with Graph Games.” Real-Time Systems, vol. 54, no. 1, Springer, 2018, pp. 166–207, doi:10.1007/s11241-017-9293-4. short: K. Chatterjee, A. Pavlogiannis, A. Kößler, U. Schmid, Real-Time Systems 54 (2018) 166–207. date_created: 2018-12-11T11:48:14Z date_published: 2018-01-01T00:00:00Z date_updated: 2023-09-27T12:52:38Z day: '01' ddc: - '000' department: - _id: KrCh doi: 10.1007/s11241-017-9293-4 ec_funded: 1 external_id: isi: - '000419955500006' file: - access_level: open_access checksum: c2590ef160709d8054cf29ee173f1454 content_type: application/pdf creator: system date_created: 2018-12-12T10:17:14Z date_updated: 2020-07-14T12:47:56Z file_id: '5267' file_name: IST-2018-960-v1+1_2017_Chatterjee_Automated_competetive.pdf file_size: 1163507 relation: main_file file_date_updated: 2020-07-14T12:47:56Z has_accepted_license: '1' intvolume: ' 54' isi: 1 issue: '1' language: - iso: eng month: '01' oa: 1 oa_version: Published Version page: 166 - 207 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: Real-Time Systems publication_status: published publisher: Springer publist_id: '6929' pubrep_id: '960' quality_controlled: '1' related_material: record: - id: '2820' relation: earlier_version status: public scopus_import: '1' status: public title: Automated competitive analysis of real time scheduling with graph games tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 54 year: '2018' ...