Problem. Technological systems (TS) that are designed, created and operated are increasingly demanding in terms of their productivity, environmental friendliness and cost-effectiveness. The effectiveness of the TS largely depends on its structure and the optimal distribution of work among performers. Existing mathematical models of assignment problems do not allow correct distribution of the flow of work packages according to multiple quality indicators in conditions of non-deterministic input data. This determined the relevance of the scientific and applied task of developing a model for the cyclical distribution of work packages based on a set of indicators, taking into account the workload of the performers and the incomplete certainty of the process parameters. Goal. The goal is to increase the effectiveness of system design technologies of vehicles due to the development of a model of the process of allocation and execution of work packages in the conditions of the stochastic nature of the input flow, multi-criteria decisions, the presence of priorities and prohibitions in the implementation of allocation. Methodology. The process of operation of the TS is presented in the form of a mass service system, which includes the phases of distribution of the package of works, execution and aggregation of works. Optimization methods, utility theories, decision-making, schedules, mass service, simulation statistical modeling were used in the development of the model. A modified Hungarian algorithm was used to distribute the work. Results. A statement was formulated and a model was developed, which implements an adaptive algorithm for multi-criteria distribution of work and a modeling algorithm for determining the functional characteristics of the process. The ratio for the objective functions of financial, time costs and quality, as well as their additive weighted convolution, is proposed. Originality. An analytical-simulation model of multi-criteria distribution and execution of TS work packages has been developed, which takes into account the stochastic nature of incoming flows, their execution time, and the current state of the executors. Practical value. The obtained results make it possible to increase the efficiency of structural and technological optimization technologies of TS in the processes of their design, reengineering or management due to the reasonable distribution of work packages taking into account cost, productivity and quality indicators.
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Bezkorovainyi et al. (2024) studied this question.
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