P. Mell and T. Grance, The NIST Definition of Cloud Computing, Special Publication, pp.800-145, 2011.

S. Dustdar, Y. Guo, B. Satzger, and H. Truong, Principles of Elastic Processes, IEEE Internet Computing, vol.15, issue.5, pp.66-71, 2011.

L. Badger and T. Grance, RobertPatt-Corner and JeffVoas Draft cloud computing synopsis and recommendations, NIST special publication 800-146, pp.1-84, 2011.

, Keqin Li Quantitative modeling and analytical calculation of elasticity in cloud computing, IEEE Transactions on Cloud Computing, XX(YY), pp.1-14, 2017.

E. Ferreira-coutinho, F. Rubens-de-carvalho, P. Sousa, and . Rego, Danielo Gonalves Gomes and Jos Neuman de Souza Elasticity in Cloud Computing: a Survey, vol.70, pp.289-309, 2015.

G. Galante, L. Carlos, and E. De, Proceedings of the 2012 IEEE/ACM Fifth International Conference on Utility and Cloud Computing, UCC 12, pp.263-270, 2012.

S. Nikolas-roman-herbst and . Kounev, Ralf Reussner Elasticity in Cloud Computing: What It Is, and What It Is Not, Proceedings of the 10th International Conference on Autonomic Computing (ICAC 13), pp.23-27, 2013.

M. Doaa and A. F. Shawky, Ali Defining a measure of cloud computing elasticity, 1st International Conference on Systems and Computer Science (ICSCS), pp.1-5, 2012.

M. Armbrust, A. Fox, R. Griffith, A. D. Joseph, R. Katz et al., Ariel Rabkin, Ion Stoica and Matei Zaharia A view of cloud, Communications of the ACM, vol.53, issue.4, pp.50-58, 2010.

Y. Al-dhuraibi and F. Paraiso, Nabil Djarallah and Philippe Merle Elasticity in Cloud Computing: State of the Art and Research Challenges, IEEE Transactions on services computing, vol.11, issue.2, pp.430-447, 2017.

E. Ferreira and C. , Danielo Gonalves Gomes and Jos Neuman de Souza An analysis of elasticity in cloud computing environments based on allocation time and resources, 2nd IEEE Latin American Conference on Cloud Computing and Communications, pp.7-12, 2013.

S. Lehrig, H. Eikerling, and S. Becker-scalability, Elasticity, and Efficiency in Cloud Computing: a Systematic Literature Review of Definitions and Metrics, Proceedings of the 11th International ACM SIGSOFT Conference on Quality of Software Architectures, QoSA15, pp.83-92, 2015.

R. Ghosh, D. D. Kim, S. Kishor, and . Trivedi, System resiliency quantification using non-state-space and state-space analytic models, Reliability Engineering and System Safety, vol.116, pp.109-125, 2013.

W. Ai, K. Li, S. Lan, F. Zhang, and J. Mei, Keqin Li and Rajkumar Buyya On Elasticity Measurement in Cloud Computing, pp.1-14, 2016.

S. Islam and K. Lee, Alan Fekete and Anna Liu How a consumer can measure elasticity for cloud platforms, Proceedings of the 3rd ACM/SPEC International Conference on Performance Engineering, pp.85-96, 2012.

A. Outamazirt, M. Escheikh, and D. Aïssani, Kamel Barkaoui and Ouiza Lekadir Stochastic Model for, Proceedings of the 10th International Workshop on VECoS2016, pp.77-84, 2016.

A. Outamazirt, M. Escheikh, and D. Aïssani, Kamel Barkaoui and Ouiza Lekadir Performance analysis of the M/G/c/c+r queuing system for cloud computing data centres, Int. J. Critical Computer-Based Systems, vol.8, pp.234-257, 2018.

, Kamel Barkaoui and Djamil Aïssani Maximizing profit in cloud computing using M/G/c/k queuing model, International Symposium on Programming and Systems (ISPS'2018), pp.1-6, 2018.

H. Khazaei, J. Misic, and B. Vojislav, Misic Performance analysis of cloud computing centers using M/G/m/m+r queueing systems, Journal of IEEE Transactions on Parallel and Distributed Systems, vol.23, issue.5, pp.936-943, 2012.

X. Chang, B. Wang, and J. K. Muppala, Jiqiang Liu Modeling active virtual machines on IaaS clouds using an M/G/m/m+K queue, Journal of IEEE Transactions on Services Computing, vol.9, issue.3, pp.408-420, 2016.