Lower bounds for the parallel processing scheduling problem with multiprocessor tasks, release date and delivery time. In proceedings of the 7th Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2015), 25 - 28 Aug 2015, Prague, Czech Republic, pages 403-411, 2015.
Paper
In this paper, we consider the multiprocessor-task scheduling problem in a parallel processing system. The tasks are characterized by a release date (or arrival time), processing time, and delivery time. In addition, a task requires more than one processor to be processed in parallel. The objective of this research is to provide a feasible schedule that minimizes the completion time, or makespan, of the last treated task. Multiprocessor task scheduling plays a fundamental role in the performance of parallel and distributed computing systems. In this regard, we propose a family of new tight lower bounds. Finally, we present results related to the assessment of the efficiency of the proposed lower bounds after undertaking extensive computational experiments.
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@INPROCEEDINGS{2015-403-411-P, author = {L. Hidri and B. Ben Youssef and A. Gazdar},
title = {Lower bounds for the parallel processing scheduling problem with multiprocessor tasks, release date and delivery time },
booktitle = {In proceedings of the 7th Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2015), 25 - 28 Aug 2015, Prague, Czech Republic},
year = {2015},
editor = {Z. Hanzalek and G. Kendall and B. McCollum and P. Sucha},
pages = {403--411},
note = {Paper},
abstract = { In this paper, we consider the multiprocessor-task scheduling problem in a parallel processing system. The tasks are characterized by a release date (or arrival time), processing time, and delivery time. In addition, a task requires more than one processor to be processed in parallel. The objective of this research is to provide a feasible schedule that minimizes the completion time, or makespan, of the last treated task. Multiprocessor task scheduling plays a fundamental role in the performance of parallel and distributed computing systems. In this regard, we propose a family of new tight lower bounds. Finally, we present results related to the assessment of the efficiency of the proposed lower bounds after undertaking extensive computational experiments. },
owner = {Graham},
timestamp = {2017.01.16},
webpdf = {2015-403-411-P.pdf} }