@inbook{b47cc37f12564d6eb827e94d5bbd99f9,

title = "Approximating Interval Selection on Unrelated Machines with Unit-Length Intervals and Cores",

abstract = "We consider a scheduling problem with machine dependent intervals, where each job consists of m fixed intervals, one on each of the m machines. To schedule a job, exactly one of the m intervals needs to be selected, making the corresponding machine busy for the time period equal to the selected interval. The objective is to schedule a maximum number of jobs such that no two selected intervals from the same machine overlap. This problem is np-hard and admits a deterministic 1 / 2-approximation. The problem remains np-hard even if all intervals have unit length, and all m intervals of any job have a common intersection. We study this special case and show that it is apx-hard, and design a 501 / 1000-approximation algorithm.",

author = "Katerina B{\"o}hmov{\'a} and Enrico Kravina and Mat{\'u}s Mihal{\'a}k",

year = "2016",

doi = "10.1007/978-3-319-45587-7_30",

language = "English",

series = "Lecture Notes in Computer Science",

publisher = "Springer",

pages = "345--356",

booktitle = "Proc. 4th International Symposium on Combinatorial Optimization (ISCO)",

address = "United States",

}