Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628478 | Applied Mathematics and Computation | 2013 | 7 Pages |
Abstract
We consider two parallel-machine scheduling problem in which the processing time of a job is a simple linear increasing function of its starting time, jobs can be rejected by paying penalties and the first machine has a fixed non-availability interval. The objective is to minimize the makespan of the accepted jobs plus the total penalty of the rejected jobs. We present a fully polynomial-time approximation scheme (FPTAS) for the case with two identical machines. The time complexity of the FPTAS is O(n6L4/ε3)O(n6L4/ε3) where n is the number of jobs and L is the input size, εε is the error bound.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Minjiao Zhang, Chengxin Luo,