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: 2015
• 资助国家: 加拿大
• 起止时间: 2015-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=570957
• 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-developed classical 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以及它们之间的融合深刻地影响了每个人的日常生活，并激发了对复杂系统的研究和研究， 多维过程、自适应模型、并行处理和计算。发达的 在随机建模和分析中的经典随机理论和方法在该研究领域内是不够的，这主要是由于系统的复杂性、多维状态空间、系统变量中呈现的强相关性、异构QoS业务以及非泊松行为等特性。 拟议的研究计划的目的是加深我们对性质的理解，揭示模式和结构，寻找新的方法，开发先进的方法，提出有效的计算程序，并提出良好的近似。与简单系统不同，经典的显式求解方法通常是有效的，需要新的概念和方法来处理复杂的多维系统。随机建模、近似、渐近性质、性能界限和有效的计算解成为多维系统研究中的关键组成部分。拟议的研究旨在使用，扩展和进一步发展各种先进的方法和途径。 我们期望所提出的研究将导致新的发现，将填补数学理论基础研究之间的空白，特别是在概率和随机过程和工程应用，并在先进的随机理论取得新的进展。所获得的新的研究成果将在为工程设计人员提供无线通信网络和计算机网络的设计、建模、分析和优化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。