On the configuration-LP for scheduling on unrelated machines
نویسندگان
چکیده
منابع مشابه
On the Configuration-LP for Scheduling on Unrelated Machines
One of the most important open problems in machine scheduling is the problem of scheduling a set of jobs on unrelated machines to minimize the makespan. The best known approximation algorithm for this problem guarantees an approximation factor of 2. It is known to be NP -hard to approximate with a better ratio than 3/2. Closing this gap has been open for over 20 years. The best known approximat...
متن کاملStrong LP Formulations for Scheduling Splittable Jobs on Unrelated Machines
We study a natural generalization of the problem of minimizing makespan on unrelated machines in which jobs may be split into parts. The different parts of a job can be (simultaneously) processed on different machines, but each part requires a setup time before it can be processed. First we show that a natural adaptation of the seminal approximation algorithm for unrelated machine scheduling [1...
متن کاملStochastic Scheduling on Unrelated Machines
Two important characteristics encountered in many real-world scheduling problems are heterogeneous processors and a certain degree of uncertainty about the sizes of jobs. In this paper we address both, and study for the first time a scheduling problem that combines the classical unrelated machine scheduling model with stochastic processing times of jobs. Here, the processing time of job j on ma...
متن کاملStochastic Online Scheduling on Unrelated Machines
We derive the first performance guarantees for a combinatorial online algorithm that schedules stochastic, nonpreemptive jobs on unrelated machines to minimize the expectation of the total weighted completion time. Prior work on unrelated machine scheduling with stochastic jobs was restricted to the offline case, and required sophisticated linear or convex programming relaxations for the assign...
متن کاملApproximation Algorithms for Stochastic Scheduling on Unrelated Machines
Motivated by problems in distributed computing, this thesis presents the first nontrivial polynomial time approximation algorithms for an important class of machine scheduling problems. We study the family of preemptive minimum makespan scheduling problems where jobs have stochastic processing requirements and provide the first approximation algorithms for these problems when machines have unre...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Scheduling
سال: 2013
ISSN: 1094-6136,1099-1425
DOI: 10.1007/s10951-013-0359-4