Двухресурсные сети с магнитной достижимостью

Abstract

In this paper, ergodic biresource networks with magnetic reachability are studied. A special feature of the distribution of two resources in such networks is that one of the resources has priority in the distribution of resource flow values. A resource with a high priority is called first or main. Two cases of such networks are considered. In the first case, only the total throughput is specified for each arc. In the second case, two values of throughput and are specified for each arc u, and there are condition that the value of the second resource which is passing through any arc u cannot exceed the value . For each type of networks with magnetic reachability, resource allocation rules, which are based on the construction of an auxiliary network, are adapted. For the case of a semi-ergodic auxiliary network, the method for finding the limit state for an arbitrary value of the total resource is modified. Also, for networks with double throughputs, a method for finding the threshold value T', which is the maximum value of the first resource at which both resources are distributed independently of each other, is developed. The value of T' for each network depends on the total value of the second resource.