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Consider a multiclass stochastic network with state-dependent service rates and arrival rates describing bandwidth-sharing mechanisms as well as admission control and/or load balancing schemes. Given Poisson arrival and ...
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We consider the recursive equation ``x(n+1)=A(n)x(n)'' where x(n+1) and x(n) are column vectors of size k and where A(n) is an irreducible random matrix of size k x k. The matrix-vector multiplication in the (max,+) alge...
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We study matrices in the (max,+) algebra. We introduce a new tool for describing the deterministic spectral behaviour of matrices of size 3x3. It consists in a graphical representation of eigenvectors and domains of attr...