Exact solutions for a generalized two-demand queueing model

广义二需求排队模型的精确解

• 批准号: 251331-2013
• 负责人: Tavakoli, Javad
• 金额: $ 1.53万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=636780
• 关键词: Exact; solutions; generalized; two; demand

Technological advances in the Internet and wireless networks and the integration between them have profoundly impacted everybody's daily life and have motivated studies and research on complex systems,multi-dimensional processes, adaptive models, and parallel processing and computing. Well-developedclassical queueing theory and approaches in stochastic modelling and analysis are not sufficient within this area of study, largely due to the complexity of the system, multi-dimensional state space, strong dependence presented in system variables, heterogeneous QoS traffic, and non-Poisson behaviour among other properties. The objective of the proposed research program is to deepen our understanding of properties, reveal patterns and structures, search for new approaches, develop advanced methods, propose efficient computational procedures, and put forward good approximations. Unlike for simple systems, for which classical queueing methods are often effective for explicit solutions, new concepts and approaches are required to tackle complex multi-dimensional systems. Stochastic modelling, approximations, asymptotic properties, performance bounds, and efficient computational solutions become key components in the study of multi-dimensional systems. The proposed research aims to use, extend, and further develop various advanced methods and approaches. We expect that the proposed research will lead to new discoveries that will fill gaps between theoretical fundamental studies in mathematics, especially in probability and stochastic processes and engineering applications, and make new advances in advanced queueing theory. The new research results obtained will be significant in providing engineering designers with principles and theorems in design, modelling, analysis and optimization of wireless communication networks and computer networks and to produce a profound impact in the area of research.

互联网和无线网络的技术进步及其之间的集成对每个人的日常生活产生了深远的影响，并激发了对复杂系统，多维过程，自适应模型以及并行处理和计算的研究和研究。在这一研究领域，在随机建模和分析中发育良好的班级排队理论和方法是不够的，这在很大程度上是由于系统的复杂性，多维状态空间的复杂性，在系统变量，异质QoS流量中呈现的强依赖性，以及其他属性。拟议的研究计划的目的是加深我们对属性，揭示模式和结构的理解，搜索新方法，开发高级方法，提出有效的计算程序并提出良好的近似值。与简单的系统不同，对于哪种经典排队方法通常对于明确的解决方案有效，需要新的概念和方法来解决复杂的多维系统。随机建模，近似，渐近性能，性能界限和有效的计算解决方案成为多维系统研究的关键组成部分。拟议的研究旨在使用，扩展和进一步开发各种高级方法和方法。我们预计拟议的研究将导致新发现，这将填补数学理论基本研究之间的差距，尤其是在概率和随机过程和工程应用方面，并在高级排队理论方面取得了新的进步。获得的新研究结果将在为工程设计师提供无线通信网络和计算机网络的设计，建模，分析和优化方面的原理和定理方面具有重要意义，并在研究领域产生深远的影响。