Article ID Journal Published Year Pages File Type
436207 Theoretical Computer Science 2009 7 Pages PDF
Abstract

We consider several single machine parallel-batch scheduling problems in which the processing time of a job is a linear function of its starting time. We give a polynomial-time algorithm for minimizing the maximum cost, an O(n5) time algorithm for minimizing the number of tardy jobs, and an O(n2) time algorithm for minimizing the total weighted completion time. Furthermore, we prove that the problem for minimizing the weighted number of tardy jobs is binary NP-hard.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics