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.

Classification : 90B35, 90B25

Mots clés : 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}, zbl = {1062.90028}, mrnumber = {1999919}, language = {en}, url = {http://www.numdam.org/item/RO_2003__37_1_1_0/} }

Moukrim, Aziz; Sanlaville, Eric; Guinand, Frédéric. Parallel machine scheduling with uncertain communication delays. RAIRO - Operations Research - Recherche Opérationnelle, Tome 37 (2003) no. 1, pp. 1-16. doi : 10.1051/ro:2003011. http://www.numdam.org/item/RO_2003__37_1_1_0/

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