• KANTA MALIK
• Prof.U.S.Pandey

Mathematical models help in demonstrating the optimal performance achievement in the cloud infrastructure with the response of the slowest node than that of fastest node. Analysis of mathematical model is considered as an attractive and an essential tool for understanding interdependencies in the cloud computing. It is particularly applied for the identification of optimal values and predicting behaviour of the equilibrium. Thus, mathematical models are used for resource allocation, software updating and future deployment for achieving the effectiveness of optimal utility. In this paper, we study different types of security threats and propose a stochastic mathematical model for cost of traversing for assignment of job for different Virtual Machines(VM) by the dispatchers. Job allocation is done using the mathematical model and Ubuntu.

Stochastic mathematical model, VM, dispatcher, service request monitor

"STOCHASTIC MATHEMATICAL MODEL FOR PERFORMANCE ANALYSIS OF CLOUD", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.10, Issue 1, page no.f224-f232, January-2023, Available :http://www.jetir.org/papers/JETIR2301531.pdf

"STOCHASTIC MATHEMATICAL MODEL FOR PERFORMANCE ANALYSIS OF CLOUD", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.10, Issue 1, page no. ppf224-f232, January-2023, Available at : http://www.jetir.org/papers/JETIR2301531.pdf