In cloud computing era, the resilience issues faced by cloud computing services may be high. And therefore, the best alternative to reckon with the effects on the Quality-of-Service is to preserve resilience of Cloud computing service. To address this issue, an analytical model is proposed to study queueing system to handle various virtual machine interruptions. The proposed model recommends a secondary virtual machine to redeem the primary virtual machine during a probable halt. The work highlights the innovation employed for analysing the measures to achieve resilience during virtual machine interruptions in IaaS cloud service, the main objective of this research. The model is simulated using SHARPE and the results declare guaranteed performance for the IaaS clients to achieve high availability of service as the response time never deflate during VM interruptions. Copyright © 2017 by SCITEPRESS - Science and Technology Publications, Lda. All rights reserved.