Basic Concepts

Xiaoqiang Cai, Xianyi Wu and Xian Zhou
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Xiaoqiang Cai: The Chinese University of Hong Kong
Xianyi Wu: East China Normal University
Xian Zhou: Macquarie University

Chapter Chapter 1 in Optimal Stochastic Scheduling, 2014, pp 1-47 from Springer

Abstract: Abstract This chapter introduces and summarizes basic concepts and terminology in probability theory and stochastic scheduling, which build the foundation to develop optimal policies for a wide range of scheduling problems in subsequent chapters. In Section 1.1, we summarize the fundamental theory of probability in a compact and concise way. Section 1.2 discusses several versions of stochastic orders for comparing random variables, which are essential for the optimality criteria in scheduling problems. Section 1.3 describes basic concepts of stochastic scheduling models, including job characteristics, machine environments, scheduling policies, performance measures and optimality criteria. The notation used throughout the book is summarized in Section 1.4.

Keywords: Stochastic Ordering; Stochastic Scheduling Models; Scheduling Problem; Static List Policies; Hazard Rate Order (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:isochp:978-1-4899-7405-1_1

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DOI: 10.1007/978-1-4899-7405-1_1

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