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Cyclic jobshop problem and (max, plus) algebra
IFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2011Laurent Houssin
exaly
Solving two-sided system of equations in max-plus algebra
Discrete Applied MathematicsWang Hui-Li
exaly
On Max-Plus Algebra and Its Application on Image Steganography [PDF]
We propose a new steganography method to hide an image into another image using matrix multiplication operations on max-plus algebra. This is especially interesting because the matrix used in encoding or information disguises generally has an inverse ...
Kiswara Agung Santoso +2 more
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AE solutions to two-sided interval linear systems over max-plus algebra [PDF]
This paper introduces a concept of AE solutions to two-sided interval max-plus linear systems, a rather general concept which includes many known concepts of solutions to interval systems, in particular, weak, strong, tolerance and control solutions as ...
Lihua Wang, Wei Li, Haohao Li
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Ordered Structures of Polynomials over Max-Plus Algebra [PDF]
The ordered structures of polynomial idempotent algebras over max-plus algebra are investigated in this paper. Based on the antisymmetry, the partial orders on the sets of formal polynomials and polynomial functions are introduced to generate two partially ordered idempotent algebras (POIAs).
Cailu Wang, Yuanqing Xia, Yuegang Tao
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An Efficient Algorithm for Nontrivial Eigenvectors in Max-Plus Algebra [PDF]
The eigenproblem for matrices in max-plus algebra describes the steady state of the system, and therefore it has been intensively studied by many authors. In this paper, we propose an algorithm to compute the eigenvalue and the corresponding eigenvectors of a square matrix in an iterative way.
Mubasher Umer, Umar Hayat
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