A semi on-line algorithm for the partition problem

Verfasser / Beitragende:
[E. Girlich, M. M. Kovalev, V. M. Kotov]
Ort, Verlag, Jahr:
2003
Enthalten in:
Discrete Mathematics and Applications, 13/6(2003-12-01), 619-625
Format:
Artikel (online)
ID: 378855689
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245 0 2 |a A semi on-line algorithm for the partition problem  |h [Elektronische Daten]  |c [E. Girlich, M. M. Kovalev, V. M. Kotov] 
520 3 |a The distribution of jobs in a system with m identical parallel processors which minimises the load of the maximally loaded processor is an NP-hard problem. Many approximate algorithms are developed for this problem, but for the version of the problem where the jobs arrive and must be treated on-line there is no algorithm possessing the guaranteed estimate which is less than 1 + 1/√2 for m ≥ 4 and tends to 1.837 as m → ∞. In this paper, we consider the version of the problem where jobs arrive one by one and must be treated on-line under the additional condition that the total duration of the jobs is known. For this version of the problem we suggest an algorithm with the guaranteed estimate equal to 5/3. 
540 |a Copyright 2003, Walter de Gruyter 
700 1 |a Girlich  |D E.  |4 aut 
700 1 |a Kovalev  |D M. M.  |4 aut 
700 1 |a Kotov  |D V. M.  |4 aut 
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