The Effect of "Grouping at the Beginning" in Production Line Analysis
(2007) 4th CEMS SCM Seminar — Location: Riezlern, Austria
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- Authors
- Abstract
- (en) We develop a new modeling method for stochastic production systems. At this stage, we focus on the analysis of production lines with generally distributed processing times and finite buffers. In such lines, the main difficulty comes from the productivity losses due to blocking and starving. Our method is analytical and thus, as exact results can not be reached for the general configuration we study, approximate. However, the method has the advantage to offer some theoretical control and, consequently, to allow to rigorously prove bounds on productivity. In a few words, the modeling method works as follow. First, the processing time distributions are discretized. Second, the system is modeled by a Markov chain and its performance is estimated from the analysis of the Markov chain. Our originality mostly lies in the discretization method we use. In this work, we study the "grouping at the beginning" principle. It concentrates the probability mass in a time step at its beginning.
- Affiliations
Louvain School of Management Accounting & Finance
Citations
Tancrez, J.-S., Chevalier, P., & Semal, P. (2007). The Effect of “Grouping at the Beginning” in Production Line Analysis. 4th CEMS SCM Seminar, Riezlern, Austria. https://hdl.handle.net/2078.5/128639