arXiv Open Access 2010

(m,n)-Semirings and a Generalized Fault Tolerance Algebra of Systems

Syed Eqbal Alam Shrisha Rao Bijan Davvaz

Lihat Sumber

Abstrak

We propose a new class of mathematical structures called (m,n)-semirings} (which generalize the usual semirings), and describe their basic properties. We also define partial ordering, and generalize the concepts of congruence, homomorphism, ideals, etc., for (m,n)-semirings. Following earlier work by Rao, we consider a system as made up of several components whose failures may cause it to fail, and represent the set of systems algebraically as an (m,n)-semiring. Based on the characteristics of these components we present a formalism to compare the fault tolerance behaviour of two systems using our framework of a partially ordered (m,n)-semiring.

Topik & Kata Kunci

math.GM

Penulis (3)

Syed Eqbal Alam

Shrisha Rao

Bijan Davvaz

Format Sitasi

APA MLA BibTeX

Alam, S.E., Rao, S., Davvaz, B. (2010). (m,n)-Semirings and a Generalized Fault Tolerance Algebra of Systems. https://arxiv.org/abs/1005.4996

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2010
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓