%0 Conference Proceedings %T Stationary Distribution of Waiting Time in MAP/G/1/N Queueing System with LIFO Service Discipline %+ Belarusian State University %+ Peoples Friendship University of Russia [RUDN University] (RUDN) %A Dudin, Alexander %A Klimenok, Valentina %A Samouylov, Konstantin %Z Part 1: Network Analysis and Dimensioning %< avec comité de lecture %( Lecture Notes in Computer Science %B 15th International Conference on Wired/Wireless Internet Communication (WWIC) %C St. Petersburg, Russia %Y Yevgeni Koucheryavy %Y Lefteris Mamatas %Y Ibrahim Matta %Y Aleksandr Ometov %Y Panagiotis Papadimitriou %I Springer International Publishing %3 Wired/Wireless Internet Communications %V LNCS-10372 %P 50-61 %8 2017-06-21 %D 2017 %R 10.1007/978-3-319-61382-6_5 %K Single-server queue %K Finite buffer %K Markovian arrival process %K LIFO service discipline %K Waiting time distribution %K Resource management and admission control %Z Computer Science [cs] %Z Computer Science [cs]/Networking and Internet Architecture [cs.NI]Conference papers %X In this paper, we consider single server queueing system with a finite buffer, MAP input and independent generally distributed service times. Customers are selected for the service in accordance with the LIFO (Last In – First Out) service discipline. It is well known that stationary distribution of the number of customers in such a system coincides with the corresponding distribution in the system with FIFO (First In – First Out) discipline which has been studied in the literature early. In the present research we focus on investigating the stationary distribution of waiting (sojourn) time in the system. %G English %Z TC 6 %Z WG 6.2 %2 https://inria.hal.science/hal-01675436/document %2 https://inria.hal.science/hal-01675436/file/453598_1_En_5_Chapter.pdf %L hal-01675436 %U https://inria.hal.science/hal-01675436 %~ IFIP-LNCS %~ IFIP %~ IFIP-TC %~ IFIP-TC6 %~ IFIP-WG6-2 %~ IFIP-WWIC %~ IFIP-LNCS-10372