BIR YO‘LLI TEMIR YO‘L UCHASTKALARIDA POYEZDLAR HARAKATIDAGI ZIDDIYATLARNI ANIQLASHNING MATEMATIK MODELI

A mathematical framework is presented for detecting crossing, overtaking, station headway and capacity conflicts on a single-track railway section. The model combines running times, dwell times, resource occupancy and train priorities. Under the stated ordering and simplified headway assumptions, checking adjacent trains is sufficient to establish whether a section contains a conflict. For 50 trains, the number of pairwise checks decreases from 1,225 to 49, a reduction of 96%. A six-train example on the A–B–S section illustrates the detection procedure. The B–S occupancy intervals identify three adjacent opposing-direction conflicts with overlaps of 13, 17 and 18 minutes. The reduction concerns comparison counts and does not constitute a measured runtime improvement.

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