The Stability Box for Minimizing Total Weighted Flow Time under Uncertain Data

被引：1

作者：

Sotskov, Yuri N. ^{[1
]}

Lai, Tsung-Chyan ^{[2
]}

Werner, Frank ^{[3
]}

机构：

[1] Natl Acad Sci Belarus, United Inst Informat Problems, Surganova Str 6, Minsk, BELARUS

[2] Natl Taiwan Univ, Dept Business Adm, Taipei, Taiwan

[3] Otto Guericke Univ, Fac Math, Magdeburg, Germany

来源：

SIMULATION AND MODELING METHODOLOGIES, TECHNOLOGIES AND APPLICATIONS | 2013年 / 197卷

关键词：

Single-machine scheduling; Uncertain data; Total weighted flow time; Stability analysis; REGRET;

D O I：

10.1007/978-3-642-34336-0_3

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We consider an uncertain single-machine scheduling problem, in which the processing time of a job can take any real value from a given closed interval. The criterion is to minimize the sum of weighted completion times of the n jobs, a weight being associated with each job. For a job permutation, we study the stability box, which is a subset of the stability region. We derive an O(n log n) algorithm for constructing a job permutation with the largest dimension and volume of a stability box. The efficiency of such a permutation is demonstrated via a simulation on a set of randomly generated instances with 1000 <= n <= 2000. If several permutations have the largest dimension and volume of a stability box, the developed algorithm selects one of them due to a mid-point heuristic.

引用

页码：39 / +

页数：3

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