کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
480687 | 1446092 | 2011 | 6 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Two-agent scheduling to minimize the total cost Two-agent scheduling to minimize the total cost](/preview/png/480687.png)
Two agents, each having his own set of jobs, compete to perform their own jobs on a common processing resource. Each job of the agents has a weight that specifies its importance. The cost of the first agent is the maximum weighted completion time of his jobs while the cost of the second agent is the total weighted completion time of his jobs. We consider the scheduling problem of determining the sequence of the jobs such that the total cost of the two agents is minimized. We provide a 2-approximation algorithm for the problem, show that the case where the number of jobs of the first agent is fixed is NP-hard, and devise a polynomial time approximation scheme for this case.
► We consider a two-agent single-machine scheduling problem to minimize the total costs of the agents.
► The cost of the first agent is the maximum weighted completion time of his jobs and the cost of the second agent is the total weighted completion time of his jobs.
► We provide a 2-approximation algorithm for the problem.
► We show that the case where the number of jobs of the first agent is fixed is NP-hard.
► We devise a polynomial time approximation scheme for this case.
Journal: European Journal of Operational Research - Volume 215, Issue 1, 16 November 2011, Pages 39–44