{"title":"节点非对称排列的规则非均质开放式一维网的流速","authors":"A. S. Bugaev, M. V. Yashina, A. G. Tatashev","doi":"10.1134/S0005117923090072","DOIUrl":null,"url":null,"abstract":"<p>A system is studied such that this system belongs to the class of dynamical systems called the Buslaev nets. This class has been developed for the purpose of creating traffic models on network structures such that, for these models, analytical results can be obtained. There may be other network applications of Buslaev nets. The considered system is called an open chain of contours. Segments called clusters move along circumferences (contours) according to prescribed rules. For each contour (except the leftmost and rightmost contours) there are two adjacent contours. Each of the leftmost and rightmost contours has one adjacent contour. There is a common point (node) for any two adjacent contours. Results have been obtained on the average velocity of cluster movement, taking into account delays during the passage through nodes. These results generalize the results obtained previously for a particular case of the system under consideration.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Velocity of Flow on Regular Non-Homogeneous Open One-Dimensional Net with Non-Symmetrical Arrangement of Nodes\",\"authors\":\"A. S. Bugaev, M. V. Yashina, A. G. Tatashev\",\"doi\":\"10.1134/S0005117923090072\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A system is studied such that this system belongs to the class of dynamical systems called the Buslaev nets. This class has been developed for the purpose of creating traffic models on network structures such that, for these models, analytical results can be obtained. There may be other network applications of Buslaev nets. The considered system is called an open chain of contours. Segments called clusters move along circumferences (contours) according to prescribed rules. For each contour (except the leftmost and rightmost contours) there are two adjacent contours. Each of the leftmost and rightmost contours has one adjacent contour. There is a common point (node) for any two adjacent contours. Results have been obtained on the average velocity of cluster movement, taking into account delays during the passage through nodes. These results generalize the results obtained previously for a particular case of the system under consideration.</p>\",\"PeriodicalId\":55411,\"journal\":{\"name\":\"Automation and Remote Control\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-12-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Automation and Remote Control\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0005117923090072\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Automation and Remote Control","FirstCategoryId":"94","ListUrlMain":"https://link.springer.com/article/10.1134/S0005117923090072","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Velocity of Flow on Regular Non-Homogeneous Open One-Dimensional Net with Non-Symmetrical Arrangement of Nodes
A system is studied such that this system belongs to the class of dynamical systems called the Buslaev nets. This class has been developed for the purpose of creating traffic models on network structures such that, for these models, analytical results can be obtained. There may be other network applications of Buslaev nets. The considered system is called an open chain of contours. Segments called clusters move along circumferences (contours) according to prescribed rules. For each contour (except the leftmost and rightmost contours) there are two adjacent contours. Each of the leftmost and rightmost contours has one adjacent contour. There is a common point (node) for any two adjacent contours. Results have been obtained on the average velocity of cluster movement, taking into account delays during the passage through nodes. These results generalize the results obtained previously for a particular case of the system under consideration.
期刊介绍:
Automation and Remote Control is one of the first journals on control theory. The scope of the journal is control theory problems and applications. The journal publishes reviews, original articles, and short communications (deterministic, stochastic, adaptive, and robust formulations) and its applications (computer control, components and instruments, process control, social and economy control, etc.).