Multichannel nodes with identical time of service
Автор: Pavlov Andrey Valerianovich
Журнал: Математическая физика и компьютерное моделирование @mpcm-jvolsu
Рубрика: Моделирование, информатика и управление
Статья в выпуске: 4 (47), 2018 года.
Бесплатный доступ
The author investigates multichannel nodes in series with different service disciplines of service without an interruption of service in every node. Very big decrease of the virtual time of wait in inlying nodes is proved. Exact estimations of time of wait on the inlying nodes are resulted.
Identical service, multichannel nodes in series, total time of work, time of wait, disciplines of service
Короткий адрес: https://sciup.org/149129848
IDR: 149129848 | DOI: 10.15688/mpcm.jvolsu.2018.4.5
Список литературы Multichannel nodes with identical time of service
- Borovkov A.A. Veroyatnostnye protsessy v teorii massovogo obsluzhivaniya [Probability Processes in Queuing Theory]. Moscow, Fizmatlit Publ., 1972. 368 p.
- Pavlov A.V. Asimptoticheski optimalnye distsipliny obsluzhivaniya pri vysokoy nagruzke [Asymptotically Optimal Queue Disciplines in Heavy Traffic]. Teoriya veroyatnostey i ee primeniya [Theory of Probability and Its Applications], 1990, vol. 35, no. 4, pp. 713-727. DOI: 10.1137/1135100
- Pavlov A.V. Asimptoticheski optimalnye distsipliny obsluzhivaniya dlya nekotorykh mnogokanalnykh setey [The Asymptotically Optimal Disciplines of Service for Some Multi-Channel Networks]. Teoriya veroyatnostey i ee primeniya [Theory of Probability and Its Applications], 1991, vol. 36, no. 1, pp. 170-175. DOI: 10.1137/1136020
- Pavlov A.V. Dostovernoe prognozirovanie funktsiy predstavimykh v vide preobrazovaniy Laplasa ili Furye [Reliable Prognosis of the Functions in the Form of Transformations of Fourier Or Laplace]. Vestnik MGTU MIREA, 2014, vol. 3, no. 2, pp. 78-85.
- Vinogradov O.P. Dvukhfazovaya sistema s identichnym obsluzhivaniem [Two-Phase System with Identical Service]. Mat. zametki [Mathematical notes of the Academy of Sciences of the USSR], 1983, vol. 33, no. 1, pp. 141-146. DOI: 10.1007/BF01141205
- Vinogradov O.P. O vykhodyashchem potoke i sovmestnom raspredelenii vremen prebyvaniya v mnogofazovoy sisteme s identichnym obsluzhivaniem [On the Output Stream and Joint Distribution of Sojourn Times in a Multiphase System with Identical Service]. Teoriya veroyatnostey i ee primeniya [Theory of Probability and Its Applications], 1995, vol. 40, no. 3, pp. 646-654.
- DOI: 10.1137/1140066
- Boxma O.J. On a Tandem Queueing Model with Identical Service Times at Both Counters, I. Advan. Appl. Probal., 1979, vol. 11, no. 3, pp. 616-643.
- DOI: 10.2307/1426958
- Boxma O.J. On a Tandem Queueing Model with Identical Service Times at Both Counters, II. Advan. Appl. Probal., 1979, vol. 11, no. 3, pp. 644-659.
- DOI: 10.2307/1426959
- Boxma O.J., Deng Q. Asymptotic behaviour of tandem queueing system with identical service times at both queues. Math. meth. of oper. res., 2000, vol. 52, iss. 2, pp. 307-323.
- DOI: 10.1007/s186-000-8317-z
- Pavlov A.V A net with serial access and the reduction of total work for identical service. Optimiz. and Inform. Comput., 2017, vol. 5, no. 2, pp. 121-126.
- DOI: 10.19139/soic.v5i2.244
- Pavlov A.V. Diffusion approximations and variation of conditions of ergodicity for identical service. Advan. Math. Scien., 1997, vol. 52, no. 3, pp. 171-172.
- DOI: 10.1070/RM1997v052n03ABEH001816
- Pavlov A.V. The disciplines of service with prior to the shortest and identical service. Moscow, MGTUREA (MIREA), 2014. 119 p.
- Pavlov A.V. Identical service and the odd or even transform of Laplace. Anal. and comp. meth. in probab. theor. and its appl.(ACMPT2017). Moscow, Moscow University nam M.V. Lomonosov, 2017, pp. 31-35.
Статья научная
