Aniq fanlar

On the solution of a system max-plus linear equations in three variables

Max-plus algebra; idempotent yarim halqa; max-plus chiziqli sistema.

Mualliflar

  • Muzaffar Eshimbetov Tashkent International University of Financial Management and Technologies, Tashkent Uzbekistan; Chirchik State Pedagogical University, Chirchik, Tashkent Region, Uzbekistan;, Uzbekistan
  • Jo’rabek Eshimbetov Tashkent University of Human Sciences, Republic of Karakalpakstan, Uzbekistan;, Uzbekistan
  • Nigina Ashurova Tashkent International University of Financial Management and Technologies, Tashkent, Uzbekistan;, Uzbekistan

Ushbu tadqiqot ishi max-plus chiziqli tenglamalar sistemasining yechimlarini o‘rganishga
bag‘ishlangan. Tadqiqotda max-plus algebra asosiy tushunchalari va xossalari eslatib o‘tilgan hamda
ushbu algebraik tuzilma doirasida tenglamalar sistemasini yechishning nazariy va amaliy jihatlari
yoritilgan. Shu bilan birga, maqolada yechimlarning mavjudlik shartlari tahlil qilingan va max-plus
metodlari yordamida ularni aniqlash usullari ko‘rsatib berilgan. Olingan natijalar idempotent algebra
va tropik matematikaning qo‘llanilish sohalari, jumladan, optimallashtirish va diskret hodisalar
sistemalarini modellashtirishda muhim ahamiyat kasb etadi. So‘ngra max-plus sistemaning ildizlarini
topishga doir misollar keltirilgan va Dekart koordinatalar sistemasida bu max-plus tenglamalarning
grafiklari yasalgan.