Abstract
Ushbu maqolada xizmat ko‘rsatish tizimlarida navbatlar nazariyasining nazariy asoslari va ularning amaliy ahamiyati tadqiq etiladi. Tadqiqot davomida mijozlarning oqimi, xizmat ko‘rsatish vaqti va tizimning bandlik koeffitsiyenti kabi ko‘rsatkichlarni matematik modellashtirish masalalari ko‘rib chiqilgan. Maqolaning maqsadi — xizmat ko‘rsatish ob'ektlarida (banklar, logistika markazlari, IT-tizimlar) navbatlarni optimallashtirish orqali kutish vaqtini qisqartirish va iqtisodiy samaradorlikni oshirish usullarini tahlil qilishdan iborat. Olingan natijalar xizmat ko‘rsatish sifatini boshqarishda matematik modellarning o‘rnini ko‘rsatib beradi
References
1. Gmurman, V. E. Ehtimollar nazariyasi va matematik statistika: Oliy o‘quv yurtlari talabalari uchun darslik / V. E. Gmurman. – Toshkent: "O‘qituvchi", 2010. – 448 b.
2. Saaty, T. L. Elements of Queuing Theory with Applications / T. L. Saaty. – New York: McGraw-Hill, 1961. (Qayta nashr: Dover Publications, 2011). – 423 p.
3. Misra, S. C. Handbook of Operations Research in Natural Resources / S. C. Misra, R. B. Singh. – Berlin: Springer Science & Business Media, 2006. – 640 p.
4. Alimov, Q. Operatsiyalar tadqiqoti va matematik modellashtirish: O‘quv qo‘llanma / Q. Alimov. – Toshkent: TAYI, 2018. – 215 b.
5. Kleinrock, L. Queueing Systems, Volume 1: Theory / L. Kleinrock. – New York: Wiley-Interscience, 1975. – 417 p.
6. Xidirov, B. A. Iqtisodiy jarayonlarni matematik modellashtirish / B. A. Xidirov. – Toshkent: "Fan va texnologiya", 2015. – 180 b.
7. Gross, D. Fundamentals of Queueing Theory / D. Gross, J. F. Shortle, J. M. Thompson, C. M. Harris. – 4th ed. – Hoboken, New Jersey: John Wiley & Sons, 2008. – 511 p.
8. Taha, H. A. Operations Research: An Introduction / H. A. Taha. – 10th ed. – Pearson Education Limited, 2017. – 848 p.
9. Shoraxmetov, Sh. Xizmat ko‘rsatish sohasida navbatlar nazariyasini qo‘llash istiqbollari // Iqtisodiyot va innovatsion texnologiyalar ilmiy-elektron jurnali. – 2021. – № 4. – 12-18-betlar.
10. Kendall, D. G. Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain / D. G. Kendall // The Annals of Mathematical Statistics. – 1953. – Vol. 24, No. 3. – P. 338-354.

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