Study of the Constrained Resources to Projects Based on the Random Networks

In this paper, a number of concurrent network projects with random activities are studied, and the proposed model enables people to control various resources such as rare and expensive resources transported from outside in a short time. For each project, the schedule date and the admissible confidence probability of timely completion of the project were defined. The initial instants of realization of all projects, the required total power of each of the reproducible resources, the delivery schedule of rare reproducible resources that are not at the disposal of the project management system, and the schedule of beginning all activities were determined. The minimal nonoperational costs, such as penalty provisions for failure to execute the project in time, fines for idling of the rare external resources, costs of resource lease were used as the target function. The developed model can be used to plan and supervise one or more random PERT-like network projects. It can significantly reduce the cost of project implementation.