Results 31 to 40 of about 977 (189)
Derivations on the matrix semirings of max-plus algebra [PDF]
Journal of Mahani Mathematical ResearchLet $(S,\oplus,\otimes)$ be a matrix semiring of max-plus algebra with the addition operation $\oplus$ and the multiplication operation $\otimes$, where the set \( S \) consists of matrices constructed from real numbers together with the element negative
Suffi Nuralesa, Nikken Puspita
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MAX PLUS ALGEBRA OF TIMED PETRI NET FOR MODELLING SINGLE SERVER QUEUING SYSTEMS
Barekeng, 2023 This research modified a single server queuing system using timed Petri net. We add two places, a transition and its appropriate arcs. This research also considered all the holding times in the timed Petri net.
Zumrotus Sya'diyah
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Applied Sciences, 2023 With the advent of communication networks, protecting data from security threats has become increasingly important. To address this issue, we present a new text encryption scheme that uses a combination of elliptic curve cryptography and max-plus algebra-
Kanza Abdul Sattar +3 more
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
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Cyclic jobshop problem and (max, plus) algebra [PDF]
IFAC Proceedings Volumes, 2011 In this paper, we focus on the cyclic job-shop problem. This problem consists in determining the order of a set of generic tasks on machines in order to minimize the cycle time of the sequence. We propose an exact method to solve this problem. For each solution, a linear max-plus model (possibly non causal) is obtained. To evaluate the performance of a
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Determining the Inverse of a Matrix over Min-Plus Algebra
JTAM (Jurnal Teori dan Aplikasi Matematika)Linear algebra over the semiring R_ε with ⊗ (plus) and ⨁ (maximum) operations which is known as max-plus algebra. One of the isomorphic with this algebra is a min-plus algebra.
Siswanto Siswanto, Anggrina Gusmizain
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An Algebra of Synchronous Scheduling Interfaces [PDF]
Electronic Proceedings in Theoretical Computer Science, 2011 In this paper we propose an algebra of synchronous scheduling interfaces which combines the expressiveness of Boolean algebra for logical and functional behaviour with the min-max-plus arithmetic for quantifying the non-functional aspects of synchronous ...
Michael Mendler
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Pre‐Curved Everting Robots With Embedded Steering Intelligence Fabricated by CO2 Laser Welding
Advanced Intelligent Systems, EarlyView.Design and experimental demonstration of a laser welded growing robot for anatomically guided navigation. The robot follows an aortic arch phantom entering the branchiocephalic branch through steering by design. The figure shows the physical phantom setup, CAD defined weld geometry and full robot eversion.
Brandon Saldarriaga +5 more
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An Overview of Transience Bounds in Max-Plus Algebra
CoRR, 2014 We survey and discuss upper bounds on the length of the transient phase of max-plus linear systems and sequences of max-plus matrix powers. In particular, we explain how to extend a result by Nachtigall to yield a new approach for proving such bounds and we state an asymptotic tightness result by using an example given by Hartmann and Arguelles.
Nowak, Thomas, Charron-Bost, Bernadette
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Four-Fold Formal Concept Analysis Based on Complete Idempotent Semifields
Mathematics, 2021 Formal Concept Analysis (FCA) is a well-known supervised boolean data-mining technique rooted in Lattice and Order Theory, that has several extensions to, e.g., fuzzy and idempotent semirings.
Francisco José Valverde-Albacete +1 more
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