Exploring Analytical Models for Performability Evaluation of Virtualized Servers with Dynamic Resource Utilization

Yonal Kirsal


Virtualization of resources is a widely accepted technique to optimize resources in recent technologies. Virtualization allows users to execute their services on the same physical machine, keeping these services isolated from each other. This paper proposes the analytical models for performability evaluation of virtualized servers with dynamic resource utilization. The performance and avalability models are considered separately due to the behaviour of the proposed system. The well-known Markov Reward Model (MRM) is used for the solution of the analytical model considered together with an exact spectral expansion and product form solution. The dynamic resource utilization is employed to enhance the QoS of the proposed model which is another major issue in the performance characterization of virtulazilation. In this paper, the performability output parameters, such as mean queue length, mean response time and blocking probability are computed and presented for the proposed model. In addition, the performability results obtained from the analytical models are validated by the simulation (DES) results to show the accuracy and effectiveness of the proposed work. The results indicate the proposed modelling results show good agreement with DES and understand the factors are very important to improve the QoS.


Analytical models, markov reward model, performability evaluation, virtulazilation, dynamic resource utilization

Full Text:



Borangiu, T.; Trentesaux, D.; Thomas, A.; Leitao, P.; Barata, J. (2019). Digital transformation of manufacturing through cloud services and resource virtualization, Computers in Industry, 108, 150-162, 2019.

Bi, J.; Yuan, H.; Tan, W.; Zhou, M.C.; Fan, Y.; Zhang, J.; Li, J.G. (2017). Application- Aware Dynamic Fine-Grained Resource Provisioning in a Virtualized Cloud Data Center, IEEE Transactions on Automation Science and Engineering, 14(2), 1172-1184, 2017.

Chakka, R. (1995). Performance and reliability modelling of computing systems using spectral expansion, Ph.D. thesis, University of Newcastle, Upon Tyne, UK, 1995.

Ever, Y.K.; Kirsal, Y.; Ever, E.; Gemikonakli, O. (2015). Analytical modelling and performability evaluation of multi channel WLANs with global failures. International Journal of Computers Communications & Control, 10(10), 551-566, 2015.

Gemikonakli, O.; Ever, E.; Gemikonakli, E. (2009). Performance modelling of virtualized servers. International Conference on Computer Modelling and Simulation, 434-438, 2009.

Goswami, V.; Patra, S.S.; Mund, G.B. (2012). Performance analysis of cloud with queue dependent virtual machines. International Conference on Recent Advances in Information Technology (RAIT), 357-362, 2012.

Iyer, R.; Illikkal, R.; Tickoo, O.; Zhao, L.; Apparao, P.; Newell, D. (2009). VM3: Measuring, modeling and managing VM shared resources. Computer Networks, 53(17), 2873-2887, 2009.

Kim, D. S.; Hong, J. B.; Nguyen, T. A.; Machida, F.; Park, J. S.; Trivedi, K. S. (2016). Availability modeling and analysis of a virtualized system using stochastic reward nets. In IEEE International Conference on Computer and Information Technology (CIT), 210-218, 2016.

Kim, D. S.; Machida, F.; Trivedi, K. S. (2009). Availability modeling and analysis of a virtualized system. In IEEE Pacific Rim International Symposium on Dependable Computing,365-371, 2009.

Kirsal, Y. (2016). Analytical modelling of a new handover algorithm for improve allocation of resources in highly mobile environments. International Journal of Computers Communications & Control, 11(6), 789-803, 2016.

Kirsal, Y.; Paranthaman, V. V.; Mapp, G. (2018). Exploring Analytical Models for Proactive Resource Management in Highly Mobile Environments. International Journal of Computers Communications & Control, 13(5), 837-852, 2018.

Liu, N.; Li, X.; Wang, Q. (2011). A resource and capability virtualization method for cloud manufacturing systems, IEEE Int. Conf. on Systems, Man, and Cybernetics, 1003-1008, 2011.

Magalhaes, D.; Calheiros, R. N.; Buyya, R.; Gomes, D. G. (2015). Workload modeling for resource usage analysis and simulation in cloud computing, Computers and Electrical Engineering, 47, 69-81, 2015.

Mitrani. I. (2001). Queues with Breakdowns, Performability Modelling:Techniques and Tools, Wiley, Chichester, 2001.

Odun-Ayo, I.; Ajayi, O.; Falade, A. (2018). Cloud Computing and Quality of Service: Issues and Developments,In International Multi-Conference of Engineers and Computer Scientists, 2018.

Oliveira, D.; Brinkmann, A.; Rosa, N.; Maciel, P. (2019). Performability evaluation and optimization of workflow applications in cloud environments, Journal of Grid Computing, 1-22, 2019.

Peng, C. H.; Chong, L.S. (2010). A queueing-based model for performance management on cloud. International Conference on Advanced Information Management and Service (IMS), 83-88, 2010.

Sotomayor, B.; Montero, R.S.; Llorente, I.M. (2009). Virtual infrastructure management in private and hybrid clouds, IEEE Internet Comput., 13(5), 14-22, 2009.

Tian, W.; He, M.; Guo, W.; Huang, W.; Shi, X.; Shang, M.; Buyya, R. (2018). On minimizing total energy consumption in the scheduling of virtual machine reservations. Journal of Network and Computer Applications, 113, 64-74, 2018.

Wu, Y.; Zhao, M. (2011). Performance modeling of virtual machine live migration. In IEEE 4th International Conference on Cloud Computing, 492-499, 2011.

Zhang, X.; Wu, T.; Chen, M.; Wei, T.; Zhou, J.; Hu, S.; Buyya, R. (2019). Energy-aware virtual machine allocation for cloud with resource reservation. Journal of Systems and Software, 147, 147-161, 2019.

DOI: https://doi.org/10.15837/ijccc.2019.5.3676

Copyright (c) 2019 Yonal Kirsal

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

CC-BY-NC  License for Website User

Articles published in IJCCC user license are protected by copyright.

Users can access, download, copy, translate the IJCCC articles for non-commercial purposes provided that users, but cannot redistribute, display or adapt:

  • Cite the article using an appropriate bibliographic citation: author(s), article title, journal, volume, issue, page numbers, year of publication, DOI, and the link to the definitive published version on IJCCC website;
  • Maintain the integrity of the IJCCC article;
  • Retain the copyright notices and links to these terms and conditions so it is clear to other users what can and what cannot be done with the  article;
  • Ensure that, for any content in the IJCCC article that is identified as belonging to a third party, any re-use complies with the copyright policies of that third party;
  • Any translations must prominently display the statement: "This is an unofficial translation of an article that appeared in IJCCC. Agora University  has not endorsed this translation."

This is a non commercial license where the use of published articles for commercial purposes is forbiden. 

Commercial purposes include: 

  • Copying or downloading IJCCC articles, or linking to such postings, for further redistribution, sale or licensing, for a fee;
  • Copying, downloading or posting by a site or service that incorporates advertising with such content;
  • The inclusion or incorporation of article content in other works or services (other than normal quotations with an appropriate citation) that is then available for sale or licensing, for a fee;
  • Use of IJCCC articles or article content (other than normal quotations with appropriate citation) by for-profit organizations for promotional purposes, whether for a fee or otherwise;
  • Use for the purposes of monetary reward by means of sale, resale, license, loan, transfer or other form of commercial exploitation;

    The licensor cannot revoke these freedoms as long as you follow the license terms.

[End of CC-BY-NC  License for Website User]

INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL (IJCCC), With Emphasis on the Integration of Three Technologies (C & C & C),  ISSN 1841-9836.

IJCCC was founded in 2006,  at Agora University, by  Ioan DZITAC (Editor-in-Chief),  Florin Gheorghe FILIP (Editor-in-Chief), and  Misu-Jan MANOLESCU (Managing Editor).

Ethics: This journal is a member of, and subscribes to the principles of, the Committee on Publication Ethics (COPE).

Ioan  DZITAC (Editor-in-Chief) at COPE European Seminar, Bruxelles, 2015:

IJCCC is covered/indexed/abstracted in Science Citation Index Expanded (since vol.1(S),  2006); JCR2018: IF=1.585..

IJCCC is indexed in Scopus from 2008 (CiteScore2018 = 1.56):

Nomination by Elsevier for Journal Excellence Award Romania 2015 (SNIP2014 = 1.029): Elsevier/ Scopus

IJCCC was nominated by Elsevier for Journal Excellence Award - "Scopus Awards Romania 2015" (SNIP2014 = 1.029).

IJCCC is in Top 3 of 157 Romanian journals indexed by Scopus (in all fields) and No.1 in Computer Science field by Elsevier/ Scopus.


 Impact Factor in JCR2018 (Clarivate Analytics/SCI Expanded/ISI Web of Science): IF=1.585 (Q3). Scopus: CiteScore2018=1.56 (Q2); Editors-in-Chief: Ioan DZITAC & Florin Gheorghe FILIP.