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The paper highlights the problem of mathematical modelling of the complex logistic system consisting of parallel production lines. Each production route is arranged in a series of stands equipped with manufacturing machines. There are shared interoperation buffer stores placed between subsequent production stands. It is assumed that all production lines are identical. Each production stand performs a manufacturing operation with the use of the specified tool. Tools get worn out and require either regeneration or immediate replacement. In case of regeneration, it is assumed that used tools from the identical production stands share the same regeneration plant. The tool can be regenerated a certain number of times only. When this number is reached, the tool is replaced with a new one. The logistic system is controlled by a determined heuristic algorithm. The production process is optimized by means of the stated criteria respecting defined bounds. Equations of state illustrate the flow of charge material.