Networks and Heterogeneous Media最新文献_第3页

Inverse time-dependent source problem for the heat equation with a nonlocal Wentzell-Neumann boundary condition 具有非局部温兹尔-诺伊曼边界条件的热方程的逆时源问题

4区数学

Networks and Heterogeneous Media Pub Date : 2023-01-01 DOI: 10.3934/nhm.2023076

Fermín S. V. Bazán, Luciano Bedin, Mansur I. Ismailov, Leonardo S. Borges

引用次数: 0

Two high-order compact difference schemes with temporal graded meshes for time-fractional Black-Scholes equation 时间分数阶Black-Scholes方程的两种高阶紧致差分格式

4区数学

Networks and Heterogeneous Media Pub Date : 2023-01-01 DOI: 10.3934/nhm.2023074

Jie Gu, Lijuan Nong, Qian Yi, An Chen

引用次数: 0

A new distributional approach: estimation, Monte Carlo simulation and applications to the biomedical data sets 一种新的分布方法:估计、蒙特卡罗模拟及其在生物医学数据集上的应用

IF 1 4区数学

Networks and Heterogeneous Media Pub Date : 2023-01-01 DOI: 10.3934/nhm.2023069

M. Kamal, M. Alsolmi, Nayabuddin, Aned Al Mutairi, Eslam Hussam, M. Mustafa, S. G. Nassr

引用次数: 0

Algorithms for two-agent unbounded serial-batch scheduling with makespan and maximum lateness objectives 具有最大完工时间和最大延迟目标的双智能体无界串行批调度算法

4区数学

Networks and Heterogeneous Media Pub Date : 2023-01-01 DOI: 10.3934/nhm.2023073

Shuguang Li, Mingsong Li, Muhammad Ijaz Khan

{"title":"Algorithms for two-agent unbounded serial-batch scheduling with makespan and maximum lateness objectives","authors":"Shuguang Li, Mingsong Li, Muhammad Ijaz Khan","doi":"10.3934/nhm.2023073","DOIUrl":"https://doi.org/10.3934/nhm.2023073","url":null,"abstract":"<abstract><p>We study the problem of non-preemptively scheduling jobs from two agents on an unbounded serial-batch machine. Agents $ A $ and $ B $ have $ n_A $ and $ n_B $ jobs. The machine can process any number of jobs sequentially as a batch, and the processing time of the batch is equal to the total processing time of the jobs in it. Each batch requires a setup time before it is processed. Compatibility means that the jobs from different agents can be processed in a common batch; Otherwise, the jobs from different agents are incompatible. Both the compatible and incompatible models are considered, under both the batch availability and item availability assumptions. Batch availability means that any job in a batch is not available until all the jobs in this batch are completed. Item availability means that a job in a batch becomes available immediately after it is completed processing. The completion time of a job is defined to be the moment when it is available. The goal is to minimize the makespan of agent $ A $ and the maximum lateness of agent $ B $ simultaneously. For the compatible model with batch availability, an $ O(n_A+n_B^2log n_B) $-time algorithm is presented which improves the existing $ O(n_A+n_B^4log n_B) $-time algorithm. A slight modification of the algorithm solves the incompatible model with batch availability in $ O(n_A+n_B^2log n_B) $ time, which has the same time complexity as the existing algorithm. For the compatible model with item availability, the analysis shows that it is easy and admits an $ O(n_A+n_Blog n_B) $-time algorithm. For the incompatible model with item availability, an $ O(n_A+n_Blog n_B) $-time algorithm is also obtained which improves the existing $ O(n_A+n_B^2) $-time algorithm. The algorithms can generate all Pareto optimal points and find a corresponding Pareto optimal schedule for each Pareto optimal point.</p></abstract>","PeriodicalId":54732,"journal":{"name":"Networks and Heterogeneous Media","volume":"96 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135799803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A model of voting dynamics under bounded confidence with nonstandard norming 非标准规范下有界置信度下的投票动力学模型

IF 1 4区数学

Networks and Heterogeneous Media Pub Date : 2022-01-01 DOI: 10.3934/nhm.2022032

S. Pilyugin, M. Tarasova, Aleksandr S. Tarasov, G. Monakov

引用次数: 0

Compactness property of the linearized Boltzmann operator for a diatomic single gas model 双原子单气体模型线性化Boltzmann算子的紧性

IF 1 4区数学

Networks and Heterogeneous Media Pub Date : 2022-01-01 DOI: 10.3934/nhm.2022029

S. Brull, Marwa Shahine, P. Thieullen

{"title":"Compactness property of the linearized Boltzmann operator for a diatomic single gas model","authors":"S. Brull, Marwa Shahine, P. Thieullen","doi":"10.3934/nhm.2022029","DOIUrl":"https://doi.org/10.3934/nhm.2022029","url":null,"abstract":"<p style='text-indent:20px;'>In the following work, we consider the Boltzmann equation that models a diatomic gas by representing the microscopic internal energy by a continuous variable I. Under some convenient assumptions on the collision cross-section <inline-formula><tex-math id=\"M1\">begin{document}$ mathcal{B} $end{document}</tex-math></inline-formula>, we prove that the linearized Boltzmann operator <inline-formula><tex-math id=\"M2\">begin{document}$ mathcal{L} $end{document}</tex-math></inline-formula> of this model is a Fredholm operator. For this, we write <inline-formula><tex-math id=\"M3\">begin{document}$ mathcal{L} $end{document}</tex-math></inline-formula> as a perturbation of the collision frequency multiplication operator, and we prove that the perturbation operator <inline-formula><tex-math id=\"M4\">begin{document}$ mathcal{K} $end{document}</tex-math></inline-formula> is compact. The result is established after inspecting the kernel form of <inline-formula><tex-math id=\"M5\">begin{document}$ mathcal{K} $end{document}</tex-math></inline-formula> and proving it to be <inline-formula><tex-math id=\"M6\">begin{document}$ L^2 $end{document}</tex-math></inline-formula> integrable over its domain using elementary arguments.This implies that <inline-formula><tex-math id=\"M7\">begin{document}$ mathcal{K} $end{document}</tex-math></inline-formula> is a Hilbert-Schmidt operator.</p>","PeriodicalId":54732,"journal":{"name":"Networks and Heterogeneous Media","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70228121","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 8

Smooth Transonic Flows Around Cones 圆锥体周围的平滑跨音速流

IF 1 4区数学

Networks and Heterogeneous Media Pub Date : 2022-01-01 DOI: 10.3934/nhm.2022028

W. Lien, Yu-Yu Liu, Chen-Chang Peng

引用次数: 0

Notations 符号

IF 1 4区数学

Networks and Heterogeneous Media Pub Date : 2021-07-05 DOI: 10.1016/b978-0-12-819880-3.00007-x

引用次数: 16

Cracks in heterogeneous media 非均质介质中的裂纹

IF 1 4区数学

Networks and Heterogeneous Media Pub Date : 2021-01-01 DOI: 10.1016/B978-0-12-819880-3.00013-5

S. Kanaun

引用次数: 0

Index 指数

IF 1 4区数学

Networks and Heterogeneous Media Pub Date : 2021-01-01 DOI: 10.1016/b978-0-12-819880-3.00017-2

引用次数: 0