Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya最新文献_第2页

The maximum entropy principle in search theory 搜索理论中的最大熵原理

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Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu10.2023.103

Aleksandr N. Prokaev

{"title":"The maximum entropy principle in search theory","authors":"Aleksandr N. Prokaev","doi":"10.21638/11701/spbu10.2023.103","DOIUrl":"https://doi.org/10.21638/11701/spbu10.2023.103","url":null,"abstract":"The paper considers the relationship between search theory and information theory. The traditional problem of search theory is to develop a search plan for a physical object in the sea or on land. The search plan has to develop the distribution of available search resources in such a way that the probability of detection the search object is to be maximum. The optimal solution is traditionally considered as so-called \"uniformly optimal search plan\", which provides a uniform distribution of the posterior probability of the location of the object as the search is conducted. At the same time, optimality simultaneously according to the criteria of maximum detection probability and equality of a posteriori probability is possible only for the exponential detection function, which is used most often in search theory. For other kinds of detection functions, the optimal solutions according to the specified criteria do not match. In this paper, the approach to this problem is considered on the basis of the maximum entropy principle. For a situation of discrete distribution, it is shown that, within the framework of information theory, the search problem has a simpler solution that does not depend on the kind of the detection function.","PeriodicalId":43738,"journal":{"name":"Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya","volume":"55 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81046562","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 question of a constructive controllability criterion. Pt I. Cyclic invariant subspaces 论构造可控性判据问题。1 .循环不变子空间

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Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu10.2023.213

Elizaveta A. Kalinina, A. M. Kamachkin, N. Stepenko, G. Tamasyan

引用次数: 0

Graph vertices ranking using absolute potentials of electric circuit nodes 使用电路节点的绝对电位对图顶点进行排序

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Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu10.2023.209

V. Mazalov, V. Khitraya

引用次数: 0

Identification of low and medium intensity gas leakage location in medium and ultra-high pressure gas pipelines 中、超高压燃气管道中低、中强度气体泄漏位置的识别

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Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu10.2023.208

G. Kurbatova, V. A. Klemeshev

{"title":"Identification of low and medium intensity gas leakage location in medium and ultra-high pressure gas pipelines","authors":"G. Kurbatova, V. A. Klemeshev","doi":"10.21638/11701/spbu10.2023.208","DOIUrl":"https://doi.org/10.21638/11701/spbu10.2023.208","url":null,"abstract":"An efficient method for calculating the location of stationary gas leakage in wells and gas pipelines with medium and ultra-high pressures is presented. An algorithm for constructing the dependence of the compressibility factor of the gas mixture with a predominance of methane in the region of ultra-high pressures based on experimental data of pressure and temperature is proposed. The algorithm for calculating the leakage location is based on the Bellman method of quasi-linearization of nonlinear problems, with an additional hypothesis of the linear dependence of pressure and temperature on the leakage location coordinates used at each iteration. The issue of selecting the initial approximation is considered, and the advantage of calculating the initial approximation using a simplified non-isothermal flow model is justified. Examples of solving practical problems of high interest are given, and the high accuracy of calculating the gas leakage location using the proposed algorithm in gas pipelines with medium pressures (around 9 MPa) and ultra-high pressures (around 20 MPa) for small and medium gas leaks is demonstrated.","PeriodicalId":43738,"journal":{"name":"Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya","volume":"15 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90180270","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

Algorithm for optimal coloring of square (0,1)-matrices 方形(0,1)矩阵的最优着色算法

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Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu10.2023.108

I. V. Olemskoy, O. S. Firyulina

引用次数: 0

Sound synthesis approach based on the elastic stress analysis of a wrinkled thin film coating 基于起皱薄膜涂层弹性应力分析的声音合成方法

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Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu10.2023.107

S. Kostyrko, B. Shershenkov

{"title":"Sound synthesis approach based on the elastic stress analysis of a wrinkled thin film coating","authors":"S. Kostyrko, B. Shershenkov","doi":"10.21638/11701/spbu10.2023.107","DOIUrl":"https://doi.org/10.21638/11701/spbu10.2023.107","url":null,"abstract":"This paper examines the ability to employ the model of a wrinkled thin film coating under plane strain conditions for the generation and manipulation of sounds. It is assumed that the film-on-substrate structure represents a multilevel system consisting of four phases with different elastic properties such as surface layer, film material, interphase and substrate material. The undulation of surface and interface geometry leads to the complex stress state of the film coating resulting from the superposition of two perturbed stress fields evolved near the curved surface and interface. The analysis of the stress state reveals the periodic distribution of the longitudinal stresses smoothly changing from surface to interface. This facilitates the creation of a sound synthesis technique similar to the timbre morphing method which provides the transition between two waveforms while creating new intermediate waveform during this process. The perspective of using the wrinkled thin film model for sound generation is gained by its complex behavior, where the influence of one parameter on the stress distribution is affected by other parameters, which in turn reflects in the rich sound morphologies during the mapping of the stress oscillations onto sound.","PeriodicalId":43738,"journal":{"name":"Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya","volume":"134 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74484630","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

The stability of differential-difference systems with linearly increasing delay. II. Systems with additive right side 时滞线性增加的微分-差分系统的稳定性。2具有右侧加性的系统

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Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu10.2023.101

A. Ekimov, A. P. Zhabko, P. Yakovlev

引用次数: 0

Difference dynamic input-output models 差分动态投入产出模型

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Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu10.2023.105

N. Smirnov, T. Smirnova, M. Smirnova, M. N. Smirnov

{"title":"Difference dynamic input-output models","authors":"N. Smirnov, T. Smirnova, M. Smirnova, M. N. Smirnov","doi":"10.21638/11701/spbu10.2023.105","DOIUrl":"https://doi.org/10.21638/11701/spbu10.2023.105","url":null,"abstract":"In this work, the object of study is the economy of the region. To describe it, a regular method for constructing difference input - output dynamic models is proposed. This approach involves modeling not only the sphere of production, but also the sphere of consumption. To do this, the vector of phase variables includes the gross domestic product. The variability of the model consists in the ability to take into account various macroeconomic parameters depending on the ultimate goals of analysis and control of macroeconomic trends. It is shown that the dynamics of the economy with direct investment in various sectors of the economy is described by linear controlled difference systems. If there is a need to take into account other macroeconomic parameters that increase the sensitivity of the model to managerial influences, then this leads to nonlinear difference systems of various types. In the final part of the article, a scenario approach for the development of investment projects is described. This approach is based on the principles of constructing program controls and stabilizing the corresponding program movements of a controlled difference system.","PeriodicalId":43738,"journal":{"name":"Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya","volume":"73 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84793690","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

Mathematical methods for analyzing the results of investigation of dielectric 电介质调查结果分析的数学方法

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Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu10.2023.207

N. Egorov, A. G. Karpov, Sergey P. Sobolev

引用次数: 0

Dynamic network model of production and investment 生产投资动态网络模型

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Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu10.2023.102

Vitaly A. Kochevadov, A. Sedakov

引用次数: 0