Abstract

Cyclic queueing network with deterministic service times is modeled as 'linear dynamical system', using max-algebra. Its unique eigenvalue λ is given in the 'close form', λ = f(S1,S2, Sn, N), where S1 is the service time of the i-th server, and N is the number of customs in system. This result is applied to optimize the production lines with finite number of pallets.

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