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Universal Polynomials of Several Variables for Classes of Linear Functions 线性函数类的多变量通用多项式
Moscow University Computational Mathematics and Cybernetics Pub Date : 2024-02-04 DOI: 10.3103/s027864192304012x
A. A. Voronenko
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引用次数: 0
A Modified Brachistochrone Problem with State Constraints and Thrust 带状态约束和推力的改进型勃拉希斯托克龙问题
Moscow University Computational Mathematics and Cybernetics Pub Date : 2023-12-01 DOI: 10.3103/s0278641923040167
{"title":"A Modified Brachistochrone Problem with State Constraints and Thrust","authors":"","doi":"10.3103/s0278641923040167","DOIUrl":"https://doi.org/10.3103/s0278641923040167","url":null,"abstract":"<span> <h3>Abstract</h3> <p>The problem of maximizing the horizontal coordinate of a mass point moving in a vertical plane driven by gravity, viscous drag, curve reaction force, and thrust is considered. It is assumed that inequality-type constraints are imposed on the angle of inclination of the trajectory. The system of equations belongs to a certain type that allows us to reduce the optimal control problem with constraints on the state variable to the optimal control problem with control constraints. The sequence and the number of switchings of the state constraints along the optimal trajectory are determined, and a scheme for optimal control is designed.</p> </span>","PeriodicalId":501582,"journal":{"name":"Moscow University Computational Mathematics and Cybernetics","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139679707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Queue Length in a System with an Autoregressive Hyperexponential Incoming Flow at a Critical Load 临界负荷下具有自回归超指数入流的系统中的队列长度
Moscow University Computational Mathematics and Cybernetics Pub Date : 2023-12-01 DOI: 10.3103/s0278641923040118
{"title":"Queue Length in a System with an Autoregressive Hyperexponential Incoming Flow at a Critical Load","authors":"","doi":"10.3103/s0278641923040118","DOIUrl":"https://doi.org/10.3103/s0278641923040118","url":null,"abstract":"<span> <h3>Abstract</h3> <p>A study is performed of a single-channel queuing system with two classes of priority requests, a relative priority discipline, a Poisson incoming flow with random intensity, and an infinite number of waiting places. The intensity is selected at the moment the countdown begins until the next request arrives, and the intensity does not change with a predetermined probability. The limit distribution of the number of requests of the lowest priority class at a critical system load is found.</p> </span>","PeriodicalId":501582,"journal":{"name":"Moscow University Computational Mathematics and Cybernetics","volume":"37 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139679880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Coincidence of Complexity Classes BPC and TC $${}^{0}$$ 论复杂性类BPC和TC的重合性 $${}^{0}$$
Moscow University Computational Mathematics and Cybernetics Pub Date : 2023-02-07 DOI: 10.3103/s0278641922040069
I. V. Savitskii
{"title":"On the Coincidence of Complexity Classes BPC and TC $${}^{0}$$","authors":"I. V. Savitskii","doi":"10.3103/s0278641922040069","DOIUrl":"https://doi.org/10.3103/s0278641922040069","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>It is shown that the class of dictionary functions defined on the basis of bounded prefix concatenation coincides with the familiar complexity class <span>(textrm{TC}^{0})</span>.</p>","PeriodicalId":501582,"journal":{"name":"Moscow University Computational Mathematics and Cybernetics","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138544107","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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