Risk-averse single machine scheduling: complexity and approximation

被引：11

作者：

Kasperski, Adam ^{[1
]}

Zielinski, Pawel ^{[2
]}

机构：

[1] Wroclaw Univ Sci & Technol, Fac Comp Sci & Management, Dept Operat Res, Wroclaw, Poland

[2] Wroclaw Univ Sci & Technol, Fac Fundamental Problems Technol, Dept Comp Sci, Wroclaw, Poland

来源：

JOURNAL OF SCHEDULING | 2019年 / 22卷 / 05期

关键词：

Single machine; Value at risk; Conditional value at risk; Computational complexity; Approximation algorithms; Robust scheduling; VALUE-AT-RISK; MINMAX REGRET; OPTIMIZATION PROBLEMS; SEQUENCING PROBLEM; TIME; ALGORITHM; MAX;

D O I：

10.1007/s10951-019-00599-6

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a class of single machine scheduling problems is considered. It is assumed that job processing times and due dates can be uncertain and they are specified in the form of discrete scenario set. A probability distribution in the scenario set is known. In order to choose a schedule, some risk criteria such as the value at risk and conditional value at risk are used. Various positive and negative complexity results are provided for basic single machine scheduling problems. In this paper, new complexity results are shown and some known complexity results are strengthened.

引用

页码：567 / 580

页数：14

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