EPTAS for parallel identical machine scheduling with time restrictions

被引：0
|
作者：
Jaykrishnan, G. [1 ]
Levin, Asaf [1 ]
机构：
[1] The Technion, Fac Ind Engn & Management, Haifa, Israel
来源：
JOURNAL OF COMBINATORIAL OPTIMIZATION | 2024年 / 47卷 / 02期
基金：
以色列科学基金会;
关键词：
Scheduling; Approximation algorithms; Worst-case analysis; Makespan minimization; UNIFORM PROCESSORS; ALGORITHMS; NUMBER; BOUNDS;
D O I：
10.1007/s10878-024-01108-y
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We consider the non-preemptive scheduling problem on identical machines where there is a parameter B and each machine in every unit length time interval can process up to B different jobs. The goal function we consider is the makespan minimization and we develop an EPTAS for this problem. Prior to our work a PTAS was known only for the case of one machine and constant values of B, and even the case of non-constant values of B on one machine was not known to admit a PTAS.
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页数：21
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