{"title":"单处理器上零星任务的固定优先级可调度性是NP-Hard的","authors":"Pontus Ekberg, W. Yi","doi":"10.1109/RTSS.2017.00020","DOIUrl":null,"url":null,"abstract":"We study the computational complexity of the FP-schedulability problem for sporadic or synchronous periodic tasks on a preemptive uniprocessor. We show that this problem is (weakly) NP-hard, even when restricted to either (i) task sets with implicit deadlines and rate-monotonic priority ordering, or (ii) task sets with constrained deadlines, deadline-monotonic priority ordering and utilization bounded by any constant c, such that 0 c 1.","PeriodicalId":407932,"journal":{"name":"2017 IEEE Real-Time Systems Symposium (RTSS)","volume":"43 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"21","resultStr":"{\"title\":\"Fixed-Priority Schedulability of Sporadic Tasks on Uniprocessors is NP-Hard\",\"authors\":\"Pontus Ekberg, W. Yi\",\"doi\":\"10.1109/RTSS.2017.00020\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the computational complexity of the FP-schedulability problem for sporadic or synchronous periodic tasks on a preemptive uniprocessor. We show that this problem is (weakly) NP-hard, even when restricted to either (i) task sets with implicit deadlines and rate-monotonic priority ordering, or (ii) task sets with constrained deadlines, deadline-monotonic priority ordering and utilization bounded by any constant c, such that 0 c 1.\",\"PeriodicalId\":407932,\"journal\":{\"name\":\"2017 IEEE Real-Time Systems Symposium (RTSS)\",\"volume\":\"43 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"21\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 IEEE Real-Time Systems Symposium (RTSS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/RTSS.2017.00020\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 IEEE Real-Time Systems Symposium (RTSS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/RTSS.2017.00020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 21
摘要
研究了在抢占式单处理机上偶发或同步周期任务的fp -可调度性问题的计算复杂度。我们证明了这个问题是(弱)np困难的,即使被限制在(i)具有隐式截止日期和速率单调优先顺序的任务集,或(ii)具有约束截止日期,截止日期单调优先顺序和利用率由任意常数c限定的任务集,例如0 c 1。
Fixed-Priority Schedulability of Sporadic Tasks on Uniprocessors is NP-Hard
We study the computational complexity of the FP-schedulability problem for sporadic or synchronous periodic tasks on a preemptive uniprocessor. We show that this problem is (weakly) NP-hard, even when restricted to either (i) task sets with implicit deadlines and rate-monotonic priority ordering, or (ii) task sets with constrained deadlines, deadline-monotonic priority ordering and utilization bounded by any constant c, such that 0 c 1.