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CLC number: TP393; O223

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.3 P.309-314

http://doi.org/10.1631/jzus.2006.A0309


Optimal online algorithms for scheduling on two identical machines under a grade of service


Author(s):  Jiang Yi-wei, He Yong, Tang Chun-mei

Affiliation(s):  Laboratory of Information and Optimization Technologies, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China; more

Corresponding email(s):   jywzju@163.com

Key Words:  Online algorithm, Competitive analysis, Parallel machine scheduling, Grade of service (GoS)



Abstract: 
This work is aimed at investigating the online scheduling problem on two parallel and identical machines with a new feature that service requests from various customers are entitled to many different grade of service (GoS) levels, so each job and machine are labelled with the GoS levels, and each job can be processed by a particular machine only when its GoS level is no less than that of the machine. The goal is to minimize the makespan. For non-preemptive version, we propose an optimal online algorithm with competitive ratio 5/3. For preemptive version, we propose an optimal online algorithm with competitive ratio 3/2.

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