Matematicheskie modeli dvizhushchikhsya chastits i ikh prilozheniya

Monografiya posvyashchena postroeniyu i issledovaniyu matematicheskikh modeley dvizhushchikhsya chastits, opisyvayushchikh povedenie shirokogo klassa sistem obsluzhivaniya so slozhnoy strukturoy. Takie modeli nakhodyat shirokoe primenenie v zadachakh covremennoy teorii massovogo obsluzhivaniya, t.k. opisyvayut shirokiy klass slozhnykh tekhnicheskikh sistem. Proobrazami etikh modeley yavlyayutsya transportnye i logisticheskie sistemy, komp'yuternye seti, sistemy svyazi i dr. V etikh sistemakh obsluzhivayushchie ustroystva mogut dvigat'sya, chto sozdaet dopolnitel'nye trudnosti pri ikh issledovanii. Poetomu izuchenie takikh sistem privodit k postroeniyu novykh matematicheskikh modeley i razrabotki universal'nykh metodov ikh issledovaniya. Predstavlyayut interes zadachi upravleniya takimi sistemami, optimiziruyushchie pokazateli effektivnosti, a takzhe pozvolyayut vyyavit' neozhidannye effekty v etikh sistemakh. Dlya nekotorykh modeley udaetsya poluchit' analiticheskie rezul'taty i obnaruzhit' neozhidannye effekty, pozvolyayushchie analizirovat' nekotorye nezhelatel'nye yavleniya, naprimer, transportnye probki. Chast' dannoy raboty vypolnena pri finansovoy podderzhke Fonda Razvitiya Nauki pri Prezidente Azerbaydzhanskoy Respubliki - Grant E F-2012-2(6)-39/13/1.