Звездообразные сети с очередями с протоколом коммутации каналов

Аннотация

The work is devoted to the analysis of star-shaped networks with a circuit switching protocol, consisting of five peripheral and one central nodes. A visual description of the network operation is given in terms of waiting times in nodes and channels. A formal description of the transmission rule is given using the FCFS equations for waiting times in nodes and channels. The main result of the work is a theorem in which conditions were found for the existence, uniqueness of a stationary mode of operation of the network and a decrease in correlations over time as a marked random process. K e y w ords: Networks with queues, circuit switching, nodes, channels, transmission rules, waiting times, random process, stationary mode, equation, majorizing process. Annotatsiya: Mazkur maqola beshta chetki va bitta markaziy tugundan va protokol- li kanallar kommutatsiyasidan iborat yulduzsimon navbatli tarmoqlar ishini tahlil qilish- ga bag‘ishlangan. Tugunlar va kanallardagi kutish vaqtlari bo‘yicha tarmoq ishining ko‘rsatmali bayoni keltirilgan. Axborotlarni uzatish qoidasining tavsifi esa tugunlar va kanallardagi kutish vaqtlari uchun FCFS tenglamalari orqali berilgan. Maqolaning aso- siy natijasi tarmoq ishining statsionar holati mavjudligi, yagonaligi va vaqt bo‘yicha korrelyatsiyaning kamayishi uchun shart topilgan teoremadan iborat. Kalit so‘zlar: navbatli tarmoqlar, kanallar kommutatsiyasi, tugunlar, kanallar, uzatish qoidasi, kutish vaqti, tasodifiy jarayon, statsionar holat, tenglama, majorlovchi jaroyon. 40 Alfraganus xalqaro ilmiy jurnal