{"title":"周期性到达与休假时间叠加的繁忙期分布","authors":"J. V. D. Eynde, C. Blondia","doi":"10.1145/3388831.3388857","DOIUrl":null,"url":null,"abstract":"This paper considers the output process resulting from aggregating M sources, each aggregate of which comprises a superposition of Ni identical constant bit-rate flows. For this output process we give a closed-form expression of the busy period distribution, when the first packet of the busy period encounters a delay, called the vacation. This expression is compared to simulation results for the busy period and waiting time. The theoretical and experimental distributions match closely.","PeriodicalId":419829,"journal":{"name":"Proceedings of the 13th EAI International Conference on Performance Evaluation Methodologies and Tools","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The busy period distribution of the superposition of periodic arrivals with vacation time\",\"authors\":\"J. V. D. Eynde, C. Blondia\",\"doi\":\"10.1145/3388831.3388857\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper considers the output process resulting from aggregating M sources, each aggregate of which comprises a superposition of Ni identical constant bit-rate flows. For this output process we give a closed-form expression of the busy period distribution, when the first packet of the busy period encounters a delay, called the vacation. This expression is compared to simulation results for the busy period and waiting time. The theoretical and experimental distributions match closely.\",\"PeriodicalId\":419829,\"journal\":{\"name\":\"Proceedings of the 13th EAI International Conference on Performance Evaluation Methodologies and Tools\",\"volume\":\"57 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-05-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 13th EAI International Conference on Performance Evaluation Methodologies and Tools\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3388831.3388857\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 13th EAI International Conference on Performance Evaluation Methodologies and Tools","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3388831.3388857","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The busy period distribution of the superposition of periodic arrivals with vacation time
This paper considers the output process resulting from aggregating M sources, each aggregate of which comprises a superposition of Ni identical constant bit-rate flows. For this output process we give a closed-form expression of the busy period distribution, when the first packet of the busy period encounters a delay, called the vacation. This expression is compared to simulation results for the busy period and waiting time. The theoretical and experimental distributions match closely.