2019
DOI: 10.1007/978-3-030-36614-8_33
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Queue with Retrial Group for Modeling Best Effort Traffic with Minimum Bit Rate Guarantee Transmission Under Network Slicing

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Cited by 5 publications
(4 citation statements)
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“…Mathematical methods commonly used to solve corresponding optimization problems include optimization theory for linear and nonlinear problems, game theory, cooperative game theory (Nash equilibrium), machine learning [37], MDP, continuous-time Markov chain (CTMC), and queuing theory. A retrial queuing system with an infinite orbit was proposed for analyzing prioritization schemes and resource reservation [38]. In another study [39], a resource queuing system with signals, where upon arrival, the signal interrupts a user to try again with a new bit-rate requirement, was analyzed.…”
Section: Resource Capacity Planningmentioning
confidence: 99%
“…Mathematical methods commonly used to solve corresponding optimization problems include optimization theory for linear and nonlinear problems, game theory, cooperative game theory (Nash equilibrium), machine learning [37], MDP, continuous-time Markov chain (CTMC), and queuing theory. A retrial queuing system with an infinite orbit was proposed for analyzing prioritization schemes and resource reservation [38]. In another study [39], a resource queuing system with signals, where upon arrival, the signal interrupts a user to try again with a new bit-rate requirement, was analyzed.…”
Section: Resource Capacity Planningmentioning
confidence: 99%
“…The process describing the system' behavior is not reversible Markov process. Therefore, the stationary probability distribution q(n 1 , n 2 , s) (n1,n2,s)∈Y = q can be calculated using a numerical solution [13] of the equilibrium' equations system q • A = 0, q • 1 T = 1, where A is the infinitesimal generator of Markov process, elements a((n 1 , n 2 , s)(n 1 , n 2 , s )) of which are defined as follows:…”
Section: Numerical Solutionmentioning
confidence: 99%
“…Note that, model with limited storage capacities of buffer and its retrial group has already been investigated in [13], where a computed numerical solution of the equilibrium equations system was used to analyze the characteristics. However, for model to match reality, the storage capacities must be unlimited.…”
Section: Introductionmentioning
confidence: 99%
“…So it is a combination and extension of the research conducted in [1,9,14,17]. In [9] the authors consider one of the potential radio resource allocation schemes for multiservice wireless networks with Network Slicing technology. They describe it by using the retrial queue with the orbit to wait for sessions.…”
Section: Introductionmentioning
confidence: 99%