Queues: A Course in Queueing Theory (International Series in Operations Research & Management Science)
暫譯: 排隊理論:排隊理論課程(國際運籌學與管理科學系列)
Moshe Haviv
- 出版商: Springer
- 出版日期: 2015-06-17
- 售價: $2,830
- 貴賓價: 9.5 折 $2,689
- 語言: 英文
- 頁數: 236
- 裝訂: Paperback
- ISBN: 1493901133
- ISBN-13: 9781493901135
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商品描述
Queueing theory (the mathematical theory of waiting lines in all its configurations) continues to be a standard major area of operations research on the stochastic side. Therefore, universities with an active program in operations research sometimes will have an entire course devoted mainly or entirely to queueing theory, and the course is also taught in computer science, electrical engineering, mathematics, and industrial engineering programs.
The basic course in queueing theory is often taught at first year graduate level, though can be taught at senior level undergraduate as well. This text evolved from the author’s preferred syllabus for teaching the course, presenting the material in a more logical order than other texts and so being more effective in teaching the basics of queueing theory.
The first three chapters focus on the needed preliminaries, including exposition distributions, Poisson processes and generating functions, renewal theory, and Markov chains, Then, rather than switching to first-come first-served memoryless queues here as most texts do, Haviv discusses the M/G/1 model instead of the M/M/1, and then covers priority queues. Later chapters cover the G/M/1 model, thirteen examples of continuous-time Markov processes, open networks of memoryless queues and closed networks, queueing regimes with insensitive parameters, and then concludes with two-dimensional queueing models which are quasi birth and death processes. Each chapter ends with exercises.
商品描述(中文翻譯)
排隊理論(所有配置中的等待線數學理論)仍然是隨機方面運籌學的一個標準主要領域。因此,擁有活躍運籌學課程的大学,有時會有一整門課程專門或完全致力於排隊理論,這門課程也會在計算機科學、電機工程、數學和工業工程等課程中教授。
排隊理論的基本課程通常在研究生一年級教授,但也可以在本科高年級教授。這本書是根據作者偏好的課程大綱演變而來,以比其他教材更合邏輯的順序呈現材料,因此在教授排隊理論的基本概念上更為有效。
前三章集中於所需的前置知識,包括曝光分佈、泊松過程和生成函數、更新理論以及馬可夫鏈。然後,與大多數教材在此轉向先到先服務的無記憶排隊不同,Haviv討論了M/G/1模型,而不是M/M/1,然後涵蓋了優先級排隊。後面的章節涵蓋了G/M/1模型、十三個連續時間馬可夫過程的例子、無記憶排隊的開放網絡和封閉網絡、具有不敏感參數的排隊制度,最後以二維排隊模型作結,這些模型是準出生和死亡過程。每章結尾都有練習題。