Title
An algorithm for multi-agent scheduling to minimize the makespan on <Emphasis Type="Italic">m</Emphasis> parallel machines
Abstract
This paper considers a multi-agent scheduling problem, in which each agent has a set of non-preemptive jobs, and jobs of all agents are to be processed on m identical parallel machines. The objective is to find a schedule to minimize the makespan of each agent. For an agent, the definition of \(\alpha \) point is introduced, based on which an approximation algorithm is proposed for the problem. In the obtained schedule, the agent with the ith smallest \(\alpha \) point value is the ith completed agent, and the agent’s completion time is at most \(i+ \left( \frac{1}{3}-\frac{1}{3m}\right) \) times its minimum makespan. Finally, we show the performance analysis is tight.
Year
DOI
Venue
2018
10.1007/s10951-017-0546-9
Journal of Scheduling
Keywords
Field
DocType
Scheduling, Multi-agent, LPT, Makespan
Approximation algorithm,Mathematical optimization,Job shop scheduling,Scheduling (computing),Computer science,Real-time computing
Journal
Volume
Issue
ISSN
21
5
1099-1425
Citations 
PageRank 
References 
2
0.37
11
Authors
3
Name
Order
Citations
PageRank
Manzhan Gu1364.99
Jinwei Gu268739.49
Xiwen Lu318221.03