Title
New MIP model for multiprocessor scheduling problem with communication delays
Abstract
In this paper we consider scheduling tasks on a multiprocessor system, taking into account communication delays. We propose a new Mixed Integer Program (MIP) formulation that drastically reduces both the number of variables and the number of constraints, when compared to the best mathematical programming formulations from the literature. In addition, we propose pre-processing procedures that generates cuts and bounds on all variables, reducing the solution space of the problem as well. Cuts are obtained by using forward and backward critical path method from project management field, while the upper bound is derived from the new greedy heuristic. Computational experience shows advantages of our approach.
Year
DOI
Venue
2017
10.1007/s11590-014-0802-2
Optimization Letters
Keywords
Field
DocType
Multiprocessors, Task scheduling, Communication delay, Mixed integer program, CPLEX
Integer,Mathematical optimization,Multiprocessor scheduling,Scheduling (computing),Upper and lower bounds,Computer science,Parallel computing,Multiprocessing,Greedy algorithm,Critical path method,Project management
Journal
Volume
Issue
ISSN
11
6
1862-4480
Citations 
PageRank 
References 
2
0.36
17
Authors
5
Name
Order
Citations
PageRank
abdessamad ait el cadi162.77
Rabie Ben Atitallah217320.23
Saïd Hanafi358442.21
Nenad Mladenovic41882127.14
Abdelhakim Artiba513415.28