Application of graphs and network models for designing processes for control the stress-strain state of a rock mass

To develop a new approach to the design of multiparameter processes for control of the stress-strain state of a rock mass based on the use of a decomposition approach and optimization algorithms. To solve the problem, a complex method was applied, which consists of formalizing alternative technological solutions for managing the stress-strain state of a rock mass by converting it into network models. Further application of optimization algorithms on network models and graphs allows you to choose the most optimal technology for the construction or operation of mine workings. A methodological approach to the design of processes for managing the stress-strain state of a rock mass has been developed. To this end, a decompositional approach was used as a decision-making tool, which made it possible to take into account the variety of parameters that affect the efficiency of the construction or operation of mine workings. After selecting decision-making tools, a criterion was proposed for evaluating the effectiveness of the construction or operation of mine workings, which takes into account the probabilistic reliability and costs of construction or operation. To design multi-parameter processes for managing the stress-strain state, technological cycles for the construction and operation fixing of mine workings were studied using alternative technologies and materials, which made it possible to identify common stages and proceed to the formalization of the problem of finding the optimal technology. The formalization procedure involved the presentation of alternative technologies and solutions through a network model. Further application of optimization algorithms made it possible to determine the most optimal type of support from the standpoint of minimizing the optimization parameter. An algorithmic procedure for the process of designing multi-parameter processes for controlling the stress-strain state of a rock mass based on the use of a decomposition approach has been developed and presented, which made it possible to take into account the diversity in nature and the degree of influence of parameters, as well as to determine the most optimal methods for constructing or operating mine workings. The criteria for the effectiveness of the process of construction or operation of mine workings are determined, which made it possible to proceed to the generalization of the technological stages of construction and operation of mine workings, regardless of the type of support. Based on the use of optimization algorithms on networks and graphs, a decision support system was created that allows automating the design process, as well as determining the most optimal technology for the construction and operation of mine workings, depending on a given optimization parameter and efficiently, a particular case has been considered determining an optimum production method for a coal producer.