fiee 15(5): e4

Research Article

Clones: CLOsed queueing Networks Exact Sampling

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  • @ARTICLE{10.4108/icst.valuetools.2014.258178,
        author={Anne Bouillard and Ana Busic and Christelle Rovetta},
        title={Clones: CLOsed queueing Networks Exact Sampling},
        journal={EAI Endorsed Transactions on Future Intelligent Educational Environments},
        keywords={queueing networks, simulation, coupling from the past},
  • Anne Bouillard
    Ana Busic
    Christelle Rovetta
    Year: 2015
    Clones: CLOsed queueing Networks Exact Sampling
    DOI: 10.4108/icst.valuetools.2014.258178
Anne Bouillard1, Ana Busic2, Christelle Rovetta2,*
  • 1: ENS Paris
  • 2: Inria
*Contact email:


We present Clones, a Matlab toolbox for exact sampling from the stationary distribution of a closed queueing network with finite capacities. This toolbox is based on recent results using a compact representation of sets of states that enables exact sampling from the stationary distribution without considering all initial conditions in the coupling from the past (CFTP) scheme. This representation reduces the complexity of the one-step transition in the CFTP algorithm to O(K M^2), where K is the number of queues and M the total number of customers; while the cardinality of the state space is exponential in the number of queues. In this paper, we focus on the algorithmic and implementation issues.
We propose a new representation, that leads to one-step transition complexity of the CFTP algorithm that is in O(K M). We provide a detailed description of our matrix-based implementation.
The toolbox can be downloaded at