**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**32231

##### A Timed and Colored Petri Nets for Modeling and Verifying Cloud System Elasticity

**Authors:**
W. Louhichi,
M.Berrima,
N. Ben Rajeb Robbana

**Abstract:**

Elasticity is the essential property of cloud computing. As the name suggests, it constitutes the ability of a cloud system to adjust resource provisioning in relation to fluctuating workloads. There are two types of elasticity operations, vertical and horizontal. In this work, we are interested in horizontal scaling, which is ensured by two mechanisms; scaling in and scaling out. Following the sizing of the system, we can adopt scaling in the event of over-supply and scaling out in the event of under-supply. In this paper, we propose a formal model, based on temporized and colored Petri nets (TdCPNs), for the modeling of the duplication and the removal of a virtual machine from a server. This model is based on formal Petri Nets (PNs) modeling language. The proposed models are edited, verified, and simulated with two examples implemented in colored Petri nets (CPNs)tools, which is a modeling tool for colored and timed PNs.

**Keywords:**
Cloud computing,
elasticity,
elasticity controller,
petri nets,
scaling in,
scaling out.

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