{"title":"具有等待时间限制的多处理机系统的队列状态","authors":"V. Sahakyan, Artur Vardanyan","doi":"10.1109/CSITechnol.2019.8895093","DOIUrl":null,"url":null,"abstract":"The queue state in multiprocessor computing systems is an actual problem for their use in the process of tasks scheduling. In this paper, a system of differential equations is obtained describing the probabilities of the system state at time t, which can be solved using numerical methods. However, the probabilities sought-for the system M|M|m|n with a constraint on the residence time can be obtained in terms of the Laplace- Stieltjes transform.","PeriodicalId":414834,"journal":{"name":"2019 Computer Science and Information Technologies (CSIT)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The Queue State for Multiprocessor System with Waiting Time Restriction\",\"authors\":\"V. Sahakyan, Artur Vardanyan\",\"doi\":\"10.1109/CSITechnol.2019.8895093\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The queue state in multiprocessor computing systems is an actual problem for their use in the process of tasks scheduling. In this paper, a system of differential equations is obtained describing the probabilities of the system state at time t, which can be solved using numerical methods. However, the probabilities sought-for the system M|M|m|n with a constraint on the residence time can be obtained in terms of the Laplace- Stieltjes transform.\",\"PeriodicalId\":414834,\"journal\":{\"name\":\"2019 Computer Science and Information Technologies (CSIT)\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 Computer Science and Information Technologies (CSIT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CSITechnol.2019.8895093\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 Computer Science and Information Technologies (CSIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CSITechnol.2019.8895093","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Queue State for Multiprocessor System with Waiting Time Restriction
The queue state in multiprocessor computing systems is an actual problem for their use in the process of tasks scheduling. In this paper, a system of differential equations is obtained describing the probabilities of the system state at time t, which can be solved using numerical methods. However, the probabilities sought-for the system M|M|m|n with a constraint on the residence time can be obtained in terms of the Laplace- Stieltjes transform.