There are three essential components of matrix that must be understood in the process of completing the scheduling problems using max-plus algebra. They are eigenvalue, eigenvector, and eigenmode. The result showed that the reducible matrix does not necessarily have eigenvalue. If it has eigenvalue, the eigenvalue is not necessarily unique with finite value. The eigenvector corresponding to the eigenvalue of reducible matrix is not unique that contains at least a finite element. Furthermore, the eigenmode of a regular reducible matrix is not unique with all finite elements for each component.
|Title of host publication
|International Conference on Mathematics - Pure, Applied and Computation
|Subtitle of host publication
|Empowering Engineering using Mathematics
|American Institute of Physics Inc.
|Published - 1 Aug 2017
|2nd International Conference on Mathematics - Pure, Applied and Computation: Empowering Engineering using Mathematics, ICoMPAC 2016 - Surabaya, Indonesia
Duration: 23 Nov 2016 → …
|AIP Conference Proceedings
|2nd International Conference on Mathematics - Pure, Applied and Computation: Empowering Engineering using Mathematics, ICoMPAC 2016
|23/11/16 → …