Mathematical modeling and optimal control of abstaining attitude of could computing adoption

Abstract

Communally popularized in the year 2002 with the start of Amazon web services, cloud computing has transformed the way IT services and resources are furnished to the clients. Cloud computing is sprawling the IT view. Pushed by diverse completing and converging influences, cloud computing is progressing as a viable IT service provider model at an amazing pace. It also provides diverse advantages compared to traditional on-premise computing models, including minimized costs and advanced agility and flexibility. Customers can usually demand cloud services through a web browser or web service. Adopting cloud computing, customers can economize cost of hardware implementation, software licenses and system management. On the other hand, it also has some issues which influence the cloud computing adoption by organizations. In the present paper, we propose two optimal strategies using two controls u1 and u2 to minimize the contact between abstainers and susceptible and maximize the users. Pontryagin’s maximum principle is used to characterize the optimal controls and the optimality system is solved by an iterative method. Finally, numerical simulations are performed to verify the theoretical analysis using Matlab.