MATHEMATICAL MODELS OF THE CYCLIC WORK PACKAGE DISTRIBUTION TASK

The solution to the task of improving the efficiency of technologies for the distribution of work
packages on the set of indicators, taking into account the workload of the executors has been
obtained. The technology of distribution and execution of work as a process of functioning of
three-phase multi-channel mass service system is proposed. The discipline of applications service
in such a system is determined by solving the task of work distribution between the channels,
and the results of modeling of its functioning cycles allow us to determine the channel occupancy
by the time of distribution of the current work package. Mathematical models of single-criteria
and multi-criteria tasks with target functions of financial (material), time costs and quality of work
are proposed. Double-criteria tasks with different combinations of local criteria are partial
variants of the multi-criteria task model. The parameters of the proposed models allow taking
into account channel occupancy at the moment of distribution of the current work package
and costs for their readjustment after previous work performance. In multicriteria models, it is
proposed to use an accuracy-complexity effective function of utility of local criteria and universal
additive-multiplicative convolution of criteria on the basis of Kolmogorov–Gabor function.
The practical use of the proposed models will allow in practice to obtain the more effective
solutions to the tasks of their distribution by taking into account the employment of channels
and the cost of their reconfiguration after the previous work.