Throughput optimization for micro-factories subject to task and machine failures

Abstract : In this paper, we study the problem of optimizing the throughput for micro-factories subject to failures. The challenge consists in mapping several tasks of different types onto a set of machines. The originality of our approach is the failure model for such applications in which not only the machines are subject to failures but the reliability of a task may depend on its type. The failure rate is unrelated: a probability of failure is associated to each couple (task type, machine). We consider different kind of mappings: in one-to-one mappings, each machine can process only a single task, while several tasks of the same type can be processed by the same machine in specialized mappings. Finally, general mappings have no constraints. The optimal one-to-one mapping can be found in polynomial time for particular problem instances, but the problem is NP-hard in most of the cases. For the most realistic case of specialized mappings, %. For this case, which turns out to be NP-hard, we design several polynomial time heuristics and a linear program allows us to find the optimal solution (in exponential time) for small problem instances. Experimental results show that the best heuristics obtain a good throughput, much better than the throughput achieved with a random mapping. Moreover, we obtain a throughput close to the optimal solution in the particular cases where the optimal throughput can be computed.
Complete list of metadatas

Cited literature [12 references]  Display  Hide  Download
Contributor : Jean-Michel Caricand <>
Submitted on : Monday, February 7, 2011 - 9:31:57 AM
Last modification on : Friday, July 6, 2018 - 3:06:08 PM
Long-term archiving on : Tuesday, November 6, 2012 - 1:31:38 PM


Files produced by the author(s)


  • HAL Id : hal-00563628, version 1


Anne Benoit, Alexandru Dobrila, Laurent Philippe, Jean-Marc Nicod. Throughput optimization for micro-factories subject to task and machine failures. , 12th Workshop on Advances on Parallel and Distributed Processing Symposium, 2010, United States. pp.11--18. ⟨hal-00563628⟩



Record views


Files downloads