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Scheduling and Control Modeling of HVLV Systems Using Max-Plus Algebra

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Fifth International Workshop on Verification and Evaluation of Computer and Communication Systems (VECoS 2011) (VECOS)

Verification and Evaluation of Computer and Communication Systems (VECoS 2011)

15-16 September 2011

HVLV manufacturing systems, (max, +) non-linear model, scheduling and control modeling, non-linear optimization

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      Abstract

      The High-Variety, Low-Volume (HVLV) scheduling problem is one of the most arduous and combinatorial optimization problems. This paper presents an analytical scheduling model using a tropical algebra called (max,+) algebra. The aim is to find an allocation for each operation and to define the sequence of operations on each machine, so that the resulting schedule has a minimal completion time and the due dates of the different jobs (products) are met such that a Just-In-Time (JIT) production will be satisfied. To generate feasible schedules, decision variables are introduced in the model. The algebraic model developed in this work describes the discontinuous operations aspect of HVLV systems as Discrete Event Dynamic Systems (DEDS). It is non-linear in the sense of (max,+) algebra. The focus of this research concerns the development of a static scheduling approach for deterministic and not-decision-free HVLV manufacturing systems. Firstly, using (max, +) algebra, a direct generation of event-timing equations for deterministic and not-decision free HVLV systems is obtained. Then, a non-linear optimization problem in (max, +) algebra is solved. Finally, the validity of the proposed approach is illustrated by simulation examples.

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      Intelligent distributed and supervised flow control methodology for production systems

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        MPC for continuous piecewise-affine systems

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          • Record: found
          • Abstract: not found
          • Article: not found

          MPC for discrete-event systems with soft and hard synchronization constraints

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            Author and article information

            Affiliations
            University of Savoie

            Domaine Universitaire, BP 80439

            74944 Annecy le Vieux

            France
            Contributors
            Conference
            September 2011
            September 2011
            : 1-9
            10.14236/ewic/VECOS2011.5
            © Imed Nasri et al. Published by BCS Learning and Development Ltd. Fifth International Workshop on Verification and Evaluation of Computer and Communication Systems (VECoS 2011), Tunis, Tunisia

            This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

            Fifth International Workshop on Verification and Evaluation of Computer and Communication Systems (VECoS 2011)
            VECOS
            5
            Tunis, Tunisia
            15-16 September 2011
            Electronic Workshops in Computing (eWiC)
            Verification and Evaluation of Computer and Communication Systems (VECoS 2011)
            Product
            Product Information: 1477-9358 BCS Learning & Development
            Self URI (journal page): https://ewic.bcs.org/
            Categories
            Electronic Workshops in Computing

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