Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10348315 | Computers & Operations Research | 2012 | 8 Pages |
Abstract
We study a problem of scheduling a set of n jobs with unit processing times on a set of m multipurpose machines in which the objective is to minimize the makespan. It is assumed that there are two different job types, where each job type can be processed on a unique subset of machines. We provide an optimal offline algorithm to solve the problem in constant time and an online algorithm with a competitive ratio that equals the lower bound. We show that the worst competitive ratio is obtained for an inclusive job-machine structure in which the first job type can be processed on any of the m machines while the second job type can be processed only on a subset of m/2 machines. Moreover, we show that our online algorithm is 1-competitive if the machines are not flexible, i.e., each machine can process only a single job type.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Dvir Shabtay, Shlomo Karhi,