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The paper highlights the problem of mathematical modelling of the serial logistic manufacturing system in which each work stand performs autonomously independent number of operations in sequence on the order vector elements. It is assumed that machines in each work stand are identical and equipped with the same set of various tools which can be arranged optionally to carry required operations on defined elements. The specification presented hereby and its subsequent model illustrate the behaviour of the discussed system. A sample control method is based on the criteria approach implementing adequate manufacturing strategies as well as heuristic algorithms. The solution satisfying the set criterion is sought for.