Multi-Criteria Optimization of Resource Allocation in Redundant Complexes of Transport and Technological Machines

The relevance of this study stems from the need to improve the reliability and efficiency of logistics transport systems in the face of unstable freight flows and increasing demands for uninterrupted delivery the problem, leading to an unjustified increase in costs or a decrease in operational reliability. Objective: development of a mathematical formulation of the problem of multi-criteria optimization of resource distribution in redundant complexes of transport and technological machines and substantiation of the method for its solution. Methods: the study is based on methods from queuing theory, reliability theory of technical systems, multicriteria optimization, and simulation modeling. The study utilized vector optimization approaches with the construction of a set of Pareto- optimal solutions. Results: a formalized formulation of the vector optimization problem for redundant machine systems is presented, taking into account structural and temporal redundancy. A system of performance criteria is provided, encompassing economic, reliability, and operational indicators. An algorithm for finding optimal solutions based on the weighted sum method and a genetic algorithm is disclosed. The results of testing the developed approach using the example of a container terminal loading and unloading complex are substantiated. The theoretical significance lies in the development of a methodology for managing redundant technical systems in logistics by taking into account the multi- criteria nature of the optimization problem. Practical significance: the potential application of the developed approach to justifying the composition of a fleet of transport and technological vehicles and optimizing their redundancy modes at enterprises in various industries. A number of limitations (the static nature of the model, simplified representation of failures, and failure to account for interrelations between vehicles) requiring further study have been identified, and avenues for further research are presented.