Computational modeling of consistent observation of asynchronous distributed computation on N-manifold

Abstract

The present-day distributed computing systems are asynchronous in nature, and they cover heterogeneous nodes as well as networks having geographic distribution scale. These distributed systems are prone to unpredictable network partitioning, communication delay, and node failures. The realizations of consistent observation in such systems are challenging. The traditional models of distributed computation are not fully adequate to incorporate characteristics arising in the new paradigm. Alternatively, the homology and topology based distributed computing models are formulated to gain a new perspective. This paper proposes a computational model of consistent observation of asynchronous distributed computation on N-manifold. The proposed model offers control of granularity of fineness of observation of computation to varying degree. The discrete geometric simulations of computational structures on 3-manifold offer different analytical insights. The extracted lattice chains of distributed computation on manifold illustrate execution dynamics of the system under consideration.