Creation of mathematical models for ordering graph edges of the pipeline distribution network

Diagnostics of Functional Reliability of Pipeline Systems

“…The obtained mathematical models can be used not only to calculate the 15 7 12 18 9 13 19 10 11 16 8 9 7 5 5 3 3 1 a a a a a a a a a a a p p p p p p p p p p p p p p p p impossible. Similarly, models (8) and (9) indicate that failure of the latch or , leads to the cessation of transportation of the target product accordingly to the consumer or .…”

“…So, with a delay time of 0.2 time and a workload of 0.8, the minimum number of teams is three.The development of the system of functional reliability diagnostics is based on the division of PS into emergency repair zones and replacement of the PS structure of emergency repair zones (ERZ), which completely inherits the functional reliability of the system. For this reason, in the future this analytical method of calculating the functional reliability of PS will be called the ERZ method.Let's consider its main provisions.The ERZ method consists of seven consecutive steps[8]: Formation of a mathematical model of a pipeline transport network with a complex topological structure in the form of a weighted graph. Dividing the initial weighted graph of the pipeline network into subgraphs (macroelements), each of which corresponds to one ERZ.3.…”