This paper is concerned with scheduling when the data are not fully known before the execution. In that case computing a complete schedule off-line with estimated data may lead to poor performances. Some flexibility must be added to the scheduling process. We propose to start from a partial schedule and to postpone the complete scheduling until execution, thus introducing what we call a stabilization scheme. This is applied to the m machine problem with communication delays: in our model an estimation of the delay is known at compile time; but disturbances due to network contention, link failures, ... may occur at execution time. Hence the processor assignment and a partial sequencing on each processor are determined off-line. Some theoretical results for tree-like precedence constraints and an experimental study show the interest of this approach compared with fully on-line scheduling.

Keywords: parallel computing, scheduling with communication delays, disturbances on communication delays, list scheduling, flexibility

@article{RO_2003__37_1_1_0, author = {Moukrim, Aziz and Sanlaville, Eric and Guinand, Fr\'ed\'eric}, title = {Parallel machine scheduling with uncertain communication delays}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {1--16}, publisher = {EDP-Sciences}, volume = {37}, number = {1}, year = {2003}, doi = {10.1051/ro:2003011}, mrnumber = {1999919}, zbl = {1062.90028}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro:2003011/} }

TY - JOUR AU - Moukrim, Aziz AU - Sanlaville, Eric AU - Guinand, Frédéric TI - Parallel machine scheduling with uncertain communication delays JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2003 SP - 1 EP - 16 VL - 37 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro:2003011/ DO - 10.1051/ro:2003011 LA - en ID - RO_2003__37_1_1_0 ER -

%0 Journal Article %A Moukrim, Aziz %A Sanlaville, Eric %A Guinand, Frédéric %T Parallel machine scheduling with uncertain communication delays %J RAIRO - Operations Research - Recherche Opérationnelle %D 2003 %P 1-16 %V 37 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro:2003011/ %R 10.1051/ro:2003011 %G en %F RO_2003__37_1_1_0

Moukrim, Aziz; Sanlaville, Eric; Guinand, Frédéric. Parallel machine scheduling with uncertain communication delays. RAIRO - Operations Research - Recherche Opérationnelle, Volume 37 (2003) no. 1, pp. 1-16. doi : 10.1051/ro:2003011. http://www.numdam.org/articles/10.1051/ro:2003011/

[1] Some Models for Scheduling Parallel Programs with Communication Delays. Discrete Appl. Math. 51 (1997) 5-24. | MR | Zbl

, and ,[2] A polynomial algorithm to optimally schedule tasks on a virtual distributed system under tree-like precedence constraints. EJOR 43 (1989) 225-230. | MR | Zbl

,[3] Scheduling with communication delays: a survey, in Scheduling Theory and its Applications, edited by Ph. Chrétienne, E.G. Coffman, J.K. Lenstra and Z. Liu. John Wiley Ltd. (1995). | MR

and ,[4] Optimal scheduling for two-processor systems. Acta Informatica 1 (1972) 200-213. | MR | Zbl

and ,[5] A heuristic for scheduling task graphs with communication delays onto multiprocessors. Parallel Comput. 22 (1996) 1197-1214. | MR | Zbl

and ,[6] An on-line scheduling heuristic with better worst case ratio than Graham list scheduling. SIAM J. Comput. 22 (1993) 349-355. | MR | Zbl

and ,[7] A Comparison of Clustering Heuristics for Scheduling DAGs on Multiprocessors. J. Parallel Distributed Comput. 16 (1992) 276-291. | MR | Zbl

and ,[8] Application of graph scheduling techniques in parallelizing irregular scientific computation, in Parallel Algorithms for Irregular Problems: State of the Art, edited by A. Ferreira and J. Rolim. Kluwer Academic Publishers, The Netherlands (1995). | Zbl

and ,[9] Optimal scheduling of UECT trees on two processors. RAIRO: Oper. Res. 34 (2000) 131-144. | Numdam | MR | Zbl

and ,[10] Performance of Coffman Graham schedule in the presence of unit communication delays. Discrete Appl. Math. 81 (1998) 93-108. | MR | Zbl

and ,[11] Scheduling precedence graphs in systems with interprocessor communication times. SIAM J. Comput. 18 (1989) 244-257. | MR | Zbl

, , and ,[12] Sensitivity analysis of list scheduling heuristics. Discrete Appl. Math. 55 (1994) 145-162. | MR | Zbl

, , and ,[13] Robust Discrete Optimization and Its Applications. Kluwer Academic Publisher (1997). | MR | Zbl

and ,[14] The complexity of scheduling trees with communication delays. J. Algorithms 20 (1996) 157-173. | MR | Zbl

, and ,[15] Scheduling with communication delays and data routing in Message Passing Architectures. Springer, Lecture Notes in Comput. Sci. 1388 (1998) 438-451.

and ,[16] Towards an Architecture-Independent Analysis of Parallel Algorithms. SIAM J. Comput. 19 (1990) 322-328. | MR | Zbl

and ,[17] UET scheduling with interprocessor communication delays. Discrete Appl. Math. 18 (1986) 55-71. | Zbl

,[18] Partitioning and Scheduling Parallel Programs for Execution on Multiprocessors. The MIT Press (1989).

,[19] A compile-time scheduling heuristic for interconnection-constrained heterogeneous processor architectures. IEEE Trans. Parallel Distributed Systems 4 (1993) 279-301.

and ,[20] On the calculation of stability radius of an optimal or an approximate schedule. Ann. O.R. 83 (1998) 213-252. | MR | Zbl

, and ,[21] A graph-theoretic decomposition of the job shop scheduling problem to achieve scheduling robustness. Oper. Res. 47 (1999) 113-124. | MR | Zbl

, and ,[22] List scheduling with and without communication delay. Parallel Comput. 19 (1993) 1321-1344. | Zbl

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