scholarly journals A $2.28$-competitive algorithm for online scheduling on identical machines

2015 ◽  
Vol 11 (1) ◽  
pp. 185-198 ◽  
Author(s):  
Jiping Tao ◽  
◽  
Ronghuan Huang ◽  
Tundong Liu
Keyword(s):  
Online Scheduling ◽  
Competitive Algorithm ◽  
Identical Machines

ONLINE SCHEDULING OF MIXED CPU-GPU JOBS

2014 ◽  
Vol 25 (06) ◽  
pp. 745-761 ◽  
Author(s):  
LIN CHEN ◽  
DESHI YE ◽  
GUOCHUAN ZHANG
Keyword(s):  
Competitive Ratio ◽  
Completion Time ◽  
Online Algorithm ◽  
Online Scheduling ◽  
Scheduling Problem ◽  
Competitive Algorithm ◽  
Processing Times ◽  
Special Cases ◽  
Identical Machines ◽  
The One

We consider the online scheduling problem in a CPU-GPU cluster. In this problem there are two sets of processors, the CPU processors and the GPU processors. Each job has two distinct processing times, one for the CPU processor and the other for the GPU processor. Once a job is released, a decision should be made immediately about which processor it should be assigned to. The goal is to minimize the makespan, i.e., the largest completion time among all the processors. Such a problem could be seen as an intermediate model between the scheduling problem on identical machines and unrelated machines. We provide a 3.85-competitive online algorithm for this problem and show that no online algorithm exists with competitive ratio strictly less than 2. We also consider two special cases of this problem, the balanced case where the number of CPU processors equals to that of GPU processors, and the one-sided case where there is only one CPU or GPU processor. For the balanced case, we first provide a simple 3-competitive algorithm, and then a better algorithm with competitive ratio of 2.732 is derived. For the one-sided case, a 3-competitive algorithm is given.

Semi-online scheduling on two identical machines with rejection

2012 ◽  
Vol 26 (3) ◽  
pp. 472-479 ◽  
Author(s):  
Xiao Min ◽  
Yuqing Wang ◽  
Jing Liu ◽  
Min Jiang
Keyword(s):  
Online Scheduling ◽  
Identical Machines

Semi-online scheduling on two identical machines with a common due date to maximize total early work

2021 ◽  
Vol 290 ◽  
pp. 71-78
Author(s):  
Xin Chen ◽  
Sergey Kovalev ◽  
Yuqing Liu ◽  
Małgorzata Sterna ◽  
Isabelle Chalamon ◽  
...  
Keyword(s):  
Online Scheduling ◽  
Due Date ◽  
Common Due Date ◽  
Identical Machines
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