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A Mathematical Network Model and a Solution Algorithm for IaaS Cloud Computing

Author

Listed:
  • Gabriella Colajanni

    (University of Catania)

  • Patrizia Daniele

    (University of Catania)

Abstract

Cloud Computing is a type of Internet-based computing, much used in recent years, that relies on sharing computer processing resources and data to computers and other devices on demand, from any location and at any time rather than having local servers or personal devices to handle applications. This shared IT infrastructure contains large pools of systems that are linked together. Often, virtualization techniques are used to maximize the power of cloud computing. In this paper we describe the global network of a cloud computing environment with five different layers, represented by hardware/datacenter, infrastructure, platform, application and end-users. Then, we present the mathematical model of the network and study the behavior of the typical IaaS provider in order to find the optimization problem. A computational procedure for the calculus of the optimal solutions is proposed, is applied to two numerical examples and is compared with a linearization.

Suggested Citation

  • Gabriella Colajanni & Patrizia Daniele, 2022. "A Mathematical Network Model and a Solution Algorithm for IaaS Cloud Computing," Networks and Spatial Economics, Springer, vol. 22(2), pages 267-287, June.
    • Handle: RePEc:kap:netspa:v:22:y:2022:i:2:d:10.1007_s11067-019-09460-x
    DOI: 10.1007/s11067-019-09460-x
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    References listed on IDEAS

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    1. Daniele, Patrizia, 2010. "Evolutionary variational inequalities and applications to complex dynamic multi-level models," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(6), pages 855-880, November.
    2. Steven Gabriel & Yohan Shim & Jaime Llorca & Stuart Milner, 2008. "A Multiobjective Optimization Model for Dynamic Reconfiguration of Ring Topologies with Stochastic Load," Networks and Spatial Economics, Springer, vol. 8(4), pages 419-441, December.
    3. Mehrdad Shahabi & Shirin Akbarinasaji & Avinash Unnikrishnan & Rachel James, 2013. "Integrated Inventory Control and Facility Location Decisions in a Multi-Echelon Supply Chain Network with Hubs," Networks and Spatial Economics, Springer, vol. 13(4), pages 497-514, December.
    4. Anna Nagurney & Patrizia Daniele & Shivani Shukla, 2017. "A supply chain network game theory model of cybersecurity investments with nonlinear budget constraints," Annals of Operations Research, Springer, vol. 248(1), pages 405-427, January.
    5. Anselmi, Jonatha & Ardagna, Danilo & Passacantando, Mauro, 2014. "Generalized Nash equilibria for SaaS/PaaS Clouds," European Journal of Operational Research, Elsevier, vol. 236(1), pages 326-339.
    6. Caruso, Valeria & Daniele, Patrizia, 2018. "A network model for minimizing the total organ transplant costs," European Journal of Operational Research, Elsevier, vol. 266(2), pages 652-662.
    7. Patrizia Daniele, 2006. "Dynamic Networks and Evolutionary Variational Inequalities," Books, Edward Elgar Publishing, number 3516.
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