Strong LP formulations for scheduling splittable jobs on unrelated machines
نویسندگان
چکیده
منابع مشابه
Strong 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...
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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...
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In this paper we study two generalizations of the well known unrelated parallel machines scheduling problem under makespan (Cmax) minimization. First, a situation in which not every available parallel machine should be used and it is desirable to employ only a subset of the parallel machines. This is referred to as “Not all Machines” or NAM in short. This environment applies frequently in produ...
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Nowadays, by successful application of on time production concept in other concepts like production management and storage, the need to complete the processing of jobs in their delivery time is considered a key issue in industrial environments. Unrelated parallel machines scheduling is a general mood of classic problems of parallel machines. In some of the applications of unrelated parallel mac...
متن کاملSolving the Problem of Scheduling Unrelated Parallel Machines with Limited Access to Jobs
Nowadays, by successful application of on time production concept in other concepts like production management and storage, the need to complete the processing of jobs in their delivery time is considered a key issue in industrial environments. Unrelated parallel machines scheduling is a general mood of classic problems of parallel machines. In some of the applications of unrelated parallel mac...
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ژورنال
عنوان ژورنال: Mathematical Programming
سال: 2014
ISSN: 0025-5610,1436-4646
DOI: 10.1007/s10107-014-0831-8