Using Max-Plus Algebra in The Flow Shop Scheduling

Subiono Subiono

Abstract


In this paper, it is discussed notion of maxplus algebra and their properties. A model of flow shop production system and analyze the dynamical behavior of the system for scheduling problems are derived by means of max-plus algebra. The solutions of these problems are that the optimal sequence of jobs and the regular scheduling are obtained.

Keywords


Max - Plus Algebra; flow shop; scheduling

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References


F. Baccelli, G. Cohen, G.J. olsder, and J.-P. Quadrat, 1992, Synchronization and linearity: Analgebra for Discrete Event Systems, Wiley.

B. Heidergott, G.J. olsder, and J. van der Woude, 2006, Max Plus at Work, Modelling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications, Princeton University Press.

C. Cassandras and S. Lafortune, 1999, Introduction to Discrete Event Systems, Kluwer Academic Publisher.

Subiono, 2000, On Classes of Min-max-plus Systems and Their Application, PhD Thesis, Delft University of Technology, the Netherlands.

Subiono and J. van der Woude, 2000, Power Algorithms for (max,+)-and Bipartite (min,max,+)-Systems, Discrete Event Dynamic Systems: Theory and Applications, 10(4):369-389.

Subiono, 2000, Operator Linier dalam Aljabar Max Plus dan Terapannya, Proceeding Seminar Nasional Matematika: Peran Matematika Memasuki Milenium III, ITS, Surabaya.




DOI: http://dx.doi.org/10.12962/j20882033.v20i3.105

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