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Toward the Application of a Critical-Chain-Project-Management-based Framework on Max-plus Linear Systems  

Takahashi, Hirotaka (Department of Management and Information Systems Science, Nagaoka University of Technology)
Goto, Hiroyuki (Department of Management and Information Systems Science, Nagaoka University of Technology)
Kasahara, Munenori (Faculty of Management and Information Systems Engineering, Nagaoka University of Technology)
Publication Information
Industrial Engineering and Management Systems / v.8, no.3, 2009 , pp. 155-161 More about this Journal
Abstract
We focus on discrete event systems with a structure of parallel processing, synchronization, and no-concurrency. We use max-plus algebra, which is an effective approach for controller design for this type of system, for modeling and formulation. Since a typical feature of this type of system is that the initial schedule is frequently changed due to unpredictable disturbances, we use a simple model and numerical examples to examine the possibility of applying the concepts of the feeding buffer and the project buffer of critical chain project management (CCPM) on max-plus linear discrete event systems in order to control the occurrence of an undesirable state change. The application of a CCPM-based framework on a max-plus linear discrete event system was proven to be effective.
Keywords
Max-plus Linear Systems; Critical Chain Project Management; Discrete Event Systems; State-space Representation; Scheduling;
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