159 research outputs found

    Caching-Aided Collaborative D2D Operation for Predictive Data Dissemination in Industrial IoT

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    Industrial automation deployments constitute challenging environments where moving IoT machines may produce high-definition video and other heavy sensor data during surveying and inspection operations. Transporting massive contents to the edge network infrastructure and then eventually to the remote human operator requires reliable and high-rate radio links supported by intelligent data caching and delivery mechanisms. In this work, we address the challenges of contents dissemination in characteristic factory automation scenarios by proposing to engage moving industrial machines as device-to-device (D2D) caching helpers. With the goal to improve reliability of high-rate millimeter-wave (mmWave) data connections, we introduce the alternative contents dissemination modes and then construct a novel mobility-aware methodology that helps develop predictive mode selection strategies based on the anticipated radio link conditions. We also conduct a thorough system-level evaluation of representative data dissemination strategies to confirm the benefits of predictive solutions that employ D2D-enabled collaborative caching at the wireless edge to lower contents delivery latency and improve data acquisition reliability

    On the Temporal Effects of Mobile Blockers in Urban Millimeter-Wave Cellular Scenarios

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    Millimeter-wave (mmWave) propagation is known to be severely affected by the blockage of the line-of-sight (LoS) path. In contrast to microwave systems, at shorter mmWave wavelengths such blockage can be caused by human bodies, where their mobility within environment makes wireless channel alternate between the blocked and non-blocked LoS states. Following the recent 3GPP requirements on modeling the dynamic blockage as well as the temporal consistency of the channel at mmWave frequencies, in this paper a new model for predicting the state of a user in the presence of mobile blockers for representative 3GPP scenarios is developed: urban micro cell (UMi) street canyon and park/stadium/square. It is demonstrated that the blockage effects produce an alternating renewal process with exponentially distributed non-blocked intervals, and blocked durations that follow the general distribution. The following metrics are derived (i) the mean and the fraction of time spent in blocked/non-blocked state, (ii) the residual blocked/non-blocked time, and (iii) the time-dependent conditional probability of having blockage/no blockage at time t1 given that there was blockage/no blockage at time t0. The latter is a function of the arrival rate (intensity), width, and height of moving blockers, distance to the mmWave access point (AP), as well as the heights of the AP and the user device. The proposed model can be used for system-level characterization of mmWave cellular communication systems. For example, the optimal height and the maximum coverage radius of the mmWave APs are derived, while satisfying the required mean data rate constraint. The system-level simulations corroborate that the use of the proposed method considerably reduces the modeling complexity.Comment: Accepted, IEEE Transactions on Vehicular Technolog

    Objective Function Development Based on the Parameters of a Regional Terminal Network

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    The article is devoted to the development of the objective function for calculating the parameters of a terminal network in a region. The key parameters of a terminal network, as logistic system, are described. The factors influencing the parameters of a terminal network are analyzed, and the objective function, concerning the value and qualitative aspects for determining the transport and spatial/quantitative parameters proposed. The level of service quality for the clients is also taken into account. The heuristic solution method, and the results of the approach are demonstrated with the help of an application example concerning different combinations of distribution.Der Artikel widmet sich der Modellierung eines Transportnetzes, das, unter Beachtung der Lage der Distributionszentren und der Lage der Kunden, minimale Gesamtlogistikkosten ergibt. Diese setzen sich wiederum aus den Transport- und aus den Standortkosten hinsichtlich der Lager- und Betriebskosten der Distributionszentren zusammen. Darüber hinaus wird auch die Maximierung beziehungsweise das Niveau der ServicequalitÀt für die Kunden einbezogen. Das heuristische Lâsungsverfahren wird anschließend an einem Anwendungsbeispiel hinsichtlich unterschiedlicher Kombinationen von Distributionszentren erprobt und hinsichtlich der Zielerreichung dokumentiert

    БистСмы M|G|1 с Π³Ρ€ΡƒΠΏΠΏΠΎΠ²Ρ‹ΠΌ обслуТиваниСм ΠΈ ΠΈΡ… ΠΏΡ€ΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΠΊ Π°Π½Π°Π»ΠΈΠ·Ρƒ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΏΡ€ΠΎΡ‚ΠΎΠΊΠΎΠ»Π° управлСния ΠΏΠΎΡ‚ΠΎΠΊΠΎΠ²ΠΎΠΉ ΠΏΠ΅Ρ€Π΅Π΄Π°Ρ‡Π΅ΠΉ. Π§Π°ΡΡ‚ΡŒ II

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    In this paper we introduce an analytical model of the stream control transmission protocol - a queuing system with batch service and job bundling timeout. The applicability of the analytical models in which jobs are served in batches of fixed and variable size [1] is assessed based on numerical results. An algorithm for the calculation of key performance measures is obtained. We also consider the process of signaling messages transmission over IP-network and analyze protocol parameters to provide quality of service in mobile networks.Π’ ΡΡ‚Π°Ρ‚ΡŒΠ΅ ΠΈΠ·Π»ΠΎΠΆΠ΅Π½Ρ‹ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ Ρ€Π°Π·Ρ€Π°Π±ΠΎΡ‚ΠΊΠΈ ΠΌΠΎΠ΄Π΅Π»ΠΈ функционирования ΠΏΡ€ΠΎΡ‚ΠΎΠΊΠΎΠ»Π° управлСния ΠΏΠΎΡ‚ΠΎΠΊΠΎΠ²ΠΎΠΉ ΠΏΠ΅Ρ€Π΅Π΄Π°Ρ‡Π΅ΠΉ (Stream Control Transmission Protocol, SCTP) Π² Π²ΠΈΠ΄Π΅ систСмы с Π³Ρ€ΡƒΠΏΠΏΠΎΠ²Ρ‹ΠΌ обслуТиваниСм заявок. ИсслСдована ΡΡ‚Π΅ΠΏΠ΅Π½ΡŒ адСкватности классичСских ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ Ρ‚ΠΈΠΏΠ° ||1 с обслуТиваниСм Π³Ρ€ΡƒΠΏΠΏΠ°ΠΌΠΈ ΠΏΠ΅Ρ€Π΅ΠΌΠ΅Π½Π½ΠΎΠΉ ΠΈ фиксированной Π΄Π»ΠΈΠ½Ρ‹ [1] ΠΏΡ€ΠΈΠΌΠ΅Π½ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎ ΠΊ Π°Π½Π°Π»ΠΈΠ·Ρƒ ΠΏΠΎΠΊΠ°Π·Π°Ρ‚Π΅Π»Π΅ΠΉ качСства обслуТивания ΠΏΡ€ΠΎΡ‚ΠΎΠΊΠΎΠ»Π° SCTP. ΠŸΡ€ΠΎΠ²Π΅Π΄Ρ‘Π½ числСнный Π°Π½Π°Π»ΠΈΠ· ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² качСства функционирования ΠΏΡ€ΠΎΡ‚ΠΎΠΊΠΎΠ»Π° для случая ΠΏΠ΅Ρ€Π΅Π΄Π°Ρ‡ΠΈ сигнального Ρ‚Ρ€Π°Ρ„ΠΈΠΊΠ° сСти сотовой ΠΏΠΎΠ΄Π²ΠΈΠΆΠ½ΠΎΠΉ связи

    МодСль выдСлСния рСсурсов бСспроводной сСти ΠΎΠ±ΡŠΡ‘ΠΌΠ°ΠΌΠΈ случайной Π²Π΅Π»ΠΈΡ‡ΠΈΠ½Ρ‹

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    The objective of this paper is the construction and analysis of the model of the wireless LTE network (Long Term Evolution) as a multiserver queuing system where losses are caused by a lack of resources required to service requests. Adopted by the service application takes a random amount of resources given to several types of distribution functions. Random vectors describing the requirements of applications to resources, processes do not depend on input flow and service distribution are jointly independent and identically distributed. L independent Poisson flows of requests enter the system, and there are N identical devices. Service times are distributed exponentially. The functioning of the system is described by the semi-Markov process, which takes into account the number of serviced requests, their types and amounts of resources they occupy. Explicit expressions for the stationary distribution of the semi-Markov process, and the theorem on product form solution are main results of the paper. Further studies suggest checking the hypothesis of invariance with respect to the form of the stationary distribution of the distribution of the service time and the development of numerical methods for the analysis of probability measures of the system.Π—Π°Π΄Π°Ρ‡Π΅ΠΉ Π΄Π°Π½Π½ΠΎΠΉ ΡΡ‚Π°Ρ‚ΡŒΠΈ являСтся построСниС ΠΈ Π°Π½Π°Π»ΠΈΠ· ΠΌΠΎΠ΄Π΅Π»ΠΈ соты бСспроводной сСти LTE (Long Term Evolution) Π² Π²ΠΈΠ΄Π΅ ΠΌΠ½ΠΎΠ³ΠΎΠ»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΉ систСмы массового обслуТивания (БМО) с потСрями, Π²Ρ‹Π·Π²Π°Π½Π½Ρ‹ΠΌΠΈ Π½Π΅Ρ…Π²Π°Ρ‚ΠΊΠΎΠΉ рСсурсов, Π½Π΅ΠΎΠ±Ρ…ΠΎΠ΄ΠΈΠΌΡ‹Ρ… для обслуТивания заявок. ΠŸΡ€ΠΈΠ½ΡΡ‚Π°Ρ Π½Π° обслуТиваниС заявка Π·Π°Π½ΠΈΠΌΠ°Π΅Ρ‚ случайный объСм рСсурсов Π½Π΅ΡΠΊΠΎΠ»ΡŒΠΊΠΈΡ… Ρ‚ΠΈΠΏΠΎΠ² с Π·Π°Π΄Π°Π½Π½Ρ‹ΠΌΠΈ функциями распрСдСлСния. Π‘Π»ΡƒΡ‡Π°ΠΉΠ½Ρ‹Π΅ Π²Π΅ΠΊΡ‚ΠΎΡ€Ρ‹, ΠΎΠΏΠΈΡΡ‹Π²Π°ΡŽΡ‰ΠΈΠ΅ трСбования заявок ΠΊ рСсурсам, Π½Π΅ зависят ΠΎΡ‚ процСссов поступлСния ΠΈ обслуТивания заявок, нСзависимы Π² совокупности ΠΈ ΠΎΠ΄ΠΈΠ½Π°ΠΊΠΎΠ²ΠΎ распрСдСлСны. На систСму поступаСт L нСзависимых пуассоновских ΠΏΠΎΡ‚ΠΎΠΊΠΎΠ² заявок, Π° для ΠΈΡ… обслуТивания имССтся N ΠΈΠ΄Π΅Π½Ρ‚ΠΈΡ‡Π½Ρ‹Ρ… ΠΏΡ€ΠΈΠ±ΠΎΡ€ΠΎΠ². Π”Π»ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ обслуТивания заявок распрСдСлСны ΠΏΠΎ ΡΠΊΡΠΏΠΎΠ½Π΅Π½Ρ†ΠΈΠ°Π»ΡŒΠ½ΠΎΠΌΡƒ Π·Π°ΠΊΠΎΠ½Ρƒ. Π€ΡƒΠ½ΠΊΡ†ΠΈΠΎΠ½ΠΈΡ€ΠΎΠ²Π°Π½ΠΈΠ΅ БМО описываСтся полумарковским процСссом, ΠΊΠΎΡ‚ΠΎΡ€Ρ‹ΠΉ ΡƒΡ‡ΠΈΡ‚Ρ‹Π²Π°Π΅Ρ‚ число находящихся Π½Π° обслуТивании заявок, ΠΈΡ… Ρ‚ΠΈΠΏΡ‹ ΠΈ ΠΎΠ±ΡŠΡ‘ΠΌΡ‹ Π·Π°Π½ΠΈΠΌΠ°Π΅ΠΌΡ‹Ρ… ΠΈΠΌΠΈ рСсурсов. ΠŸΠΎΠ»ΡƒΡ‡Π΅Π½Ρ‹ явныС выраТСния для стационарного распрСдСлСния полумарковского процСсса, Π° основным Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚ΠΎΠΌ ΡΡ‚Π°Ρ‚ΡŒΠΈ являСтся Ρ‚Π΅ΠΎΡ€Π΅ΠΌΠ° ΠΎ ΠΌΡƒΠ»ΡŒΡ‚ΠΈΠΏΠ»ΠΈΠΊΠ°Ρ‚ΠΈΠ²Π½ΠΎΡΡ‚ΠΈ ΠΏΠΎ числу входящих ΠΏΠΎΡ‚ΠΎΠΊΠΎΠ² стационарного распрСдСлСния ΠΎΠ±ΡŠΡ‘ΠΌΠΎΠ² занятых рСсурсов. Π”Π°Π»ΡŒΠ½Π΅ΠΉΡˆΠΈΠ΅ исслСдования ΠΏΡ€Π΅Π΄ΠΏΠΎΠ»Π°Π³Π°ΡŽΡ‚ ΠΏΡ€ΠΎΠ²Π΅Ρ€ΠΊΡƒ Π³ΠΈΠΏΠΎΡ‚Π΅Π·Ρ‹ ΠΎΠ± инвариантности Π²ΠΈΠ΄Π° стационарного распрСдСлСния ΠΎΡ‚Π½ΠΎΡΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎ Π·Π°ΠΊΠΎΠ½Π° распрСдСлСния Π΄Π»ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ обслуТивания, Π° Ρ‚Π°ΠΊΠΆΠ΅ Ρ€Π°Π·Ρ€Π°Π±ΠΎΡ‚ΠΊΡƒ числСнных ΠΌΠ΅Ρ‚ΠΎΠ΄ΠΎΠ² для Π°Π½Π°Π»ΠΈΠ·Π° вСроятностно-Π²Ρ€Π΅ΠΌΠ΅Π½Π½Ρ‹Ρ… характСристик систСмы

    ΠŸΠΎΡΡ‚Ρ€ΠΎΠ΅Π½ΠΈΠ΅ ΠΈ Π°Π½Π°Π»ΠΈΠ· ΠΌΠΎΠ΄Π΅Π»ΠΈ Π²Ρ…ΠΎΠ΄Π½ΠΎΠ³ΠΎ ΠΊΠΎΠΌΠΌΡƒΡ‚Π°Ρ‚ΠΎΡ€Π° Π² сСти с оптичСской ΠΊΠΎΠΌΠΌΡƒΡ‚Π°Ρ†ΠΈΠ΅ΠΉ

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    Currently, there are two generally recognized principles of switching of information signals in high-speed networks: networks with wave routing, and networks with the principle of optical packet switching. In networks with wave routing it is not required to produce opto-electrical and electro-optical conversions and to create a buffer, but with this switching principle the working range of wavelengths is not efficiently used. In networks with optical packet switching the traffic is transmitted in packets, which consist of a header and an information part of a consistent size. In this case, using of the frequency range is the most complete, but there is a need of optical-electronic conversions. In an effort to combine the advantages of two optical switching technologies, a new combined switching principle was proposed, called optical switching bursts. In this technology there are not buffering and electronic processing in intermediate nodes, there is a reservation of the channel for a limited time. For the effective implementation of such a network connection, we must calculate its probability characteristics. To assess probabilistic characteristics of the network the methods of theory of mass service are widely used. The input switch is one of the key devices on the network. The article describes the input switch of the network with the optical switching of bursts, calculates the probable characteristics of the network using analytical and simulation models. Examples of the calculation of the probability of blocking of packets flowing in the input switch are presented.Π’ настоящСС врСмя сущСствуСт Π΄Π²Π° ΠΎΠ±Ρ‰Π΅ΠΏΡ€ΠΈΠ·Π½Π°Π½Π½Ρ‹Ρ… ΠΏΡ€ΠΈΠ½Ρ†ΠΈΠΏΠ° ΠΊΠΎΠΌΠΌΡƒΡ‚Π°Ρ†ΠΈΠΈ ΠΈΠ½Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΎΠ½Π½Ρ‹Ρ… сигналов Π² высокоскоростных сСтях: сСти с Π²ΠΎΠ»Π½ΠΎΠ²ΠΎΠΉ ΠΌΠ°Ρ€ΡˆΡ€ΡƒΡ‚ΠΈΠ·Π°Ρ†ΠΈΠ΅ΠΉ ΠΈ сСти с ΠΏΡ€ΠΈΠ½Ρ†ΠΈΠΏΠΎΠΌ оптичСской ΠΊΠΎΠΌΠΌΡƒΡ‚Π°Ρ†ΠΈΠ΅ΠΉ ΠΏΠ°ΠΊΠ΅Ρ‚ΠΎΠ². Π’ сСтях с Π²ΠΎΠ»Π½ΠΎΠ²ΠΎΠΉ ΠΌΠ°Ρ€ΡˆΡ€ΡƒΡ‚ΠΈΠ·Π°Ρ†ΠΈΠ΅ΠΉ Π½Π΅ трСбуСтся ΠΏΡ€ΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡ‚ΡŒ ΠΎΠΏΡ‚ΠΈΠΊΠΎ-элСктричСских ΠΈ элСктро-оптичСских ΠΏΡ€Π΅ΠΎΠ±Ρ€Π°Π·ΠΎΠ²Π°Π½ΠΈΠΉ ΠΈ ΡΠΎΠ·Π΄Π°Π²Π°Ρ‚ΡŒ Π±ΡƒΡ„Π΅Ρ€, Π½ΠΎ ΠΏΡ€ΠΈ Π΄Π°Π½Π½ΠΎΠΌ ΠΏΡ€ΠΈΠ½Ρ†ΠΈΠΏΠ΅ ΠΊΠΎΠΌΠΌΡƒΡ‚Π°Ρ†ΠΈΠΈ нСэффСктивно ΠΈΡΠΏΠΎΠ»ΡŒΠ·ΡƒΠ΅Ρ‚ΡΡ Ρ€Π°Π±ΠΎΡ‡ΠΈΠΉ Π΄ΠΈΠ°ΠΏΠ°Π·ΠΎΠ½ Π΄Π»ΠΈΠ½ Π²ΠΎΠ»Π½. Π’ сСтях с оптичСской ΠΊΠΎΠΌΠΌΡƒΡ‚Π°Ρ†ΠΈΠ΅ΠΉ ΠΏΠ°ΠΊΠ΅Ρ‚ΠΎΠ² Ρ‚Ρ€Π°Ρ„ΠΈΠΊ пСрСдаётся Π² Π²ΠΈΠ΄Π΅ ΠΏΠ°ΠΊΠ΅Ρ‚ΠΎΠ², ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Π΅ состоят ΠΈΠ· Π·Π°Π³ΠΎΠ»ΠΎΠ²ΠΊΠ° ΠΈ ΠΈΠ½Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΎΠ½Π½ΠΎΠΉ части постоянного Ρ€Π°Π·ΠΌΠ΅Ρ€Π°. Π’ Π΄Π°Π½Π½ΠΎΠΌ случаС частотный Π΄ΠΈΠ°ΠΏΠ°Π·ΠΎΠ½ ΠΈΡΠΏΠΎΠ»ΡŒΠ·ΡƒΠ΅Ρ‚ΡΡ Π½Π°ΠΈΠ±ΠΎΠ»Π΅Π΅ ΠΏΠΎΠ»Π½ΠΎ, Π½ΠΎ появляСтся Π½Π΅ΠΎΠ±Ρ…ΠΎΠ΄ΠΈΠΌΠΎΡΡ‚ΡŒ ΠΎΠΏΡ‚ΠΈΠΊΠΎ-элСктронных ΠΏΡ€Π΅ΠΎΠ±Ρ€Π°Π·ΠΎΠ²Π°Π½ΠΈΠΉ. Π‘Ρ‚Ρ€Π΅ΠΌΡΡΡŒ ΡΠΎΠ΅Π΄ΠΈΠ½ΠΈΡ‚ΡŒ прСимущСства Π΄Π²ΡƒΡ… Ρ‚Π΅Ρ…Π½ΠΎΠ»ΠΎΠ³ΠΈΠΉ оптичСской ΠΊΠΎΠΌΠΌΡƒΡ‚Π°Ρ†ΠΈΠΈ, Π±Ρ‹Π» ΠΏΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½ Π½ΠΎΠ²Ρ‹ΠΉ ΠΊΠΎΠΌΠ±ΠΈΠ½ΠΈΡ€ΠΎΠ²Π°Π½Π½Ρ‹ΠΉ ΠΏΡ€ΠΈΠ½Ρ†ΠΈΠΏ ΠΊΠΎΠΌΠΌΡƒΡ‚Π°Ρ†ΠΈΠΈ, ΠΏΠΎΠ»ΡƒΡ‡ΠΈΠ²ΡˆΠΈΠΉ Π½Π°Π·Π²Π°Π½ΠΈΠ΅ оптичСской ΠΊΠΎΠΌΠΌΡƒΡ‚Π°Ρ†ΠΈΠΈ ΠΏΠ°Ρ‡Π΅ΠΊ. Π’ Π΄Π°Π½Π½ΠΎΠΉ Ρ‚Π΅Ρ…Π½ΠΎΠ»ΠΎΠ³ΠΈΠΈ Π½Π΅Ρ‚ Π±ΡƒΡ„Π΅Ρ€ΠΈΠ·Π°Ρ†ΠΈΠΈ ΠΈ элСктронной ΠΎΠ±Ρ€Π°Π±ΠΎΡ‚ΠΊΠΈ Π΄Π°Π½Π½Ρ‹Ρ… Π² ΠΏΡ€ΠΎΠΌΠ΅ΠΆΡƒΡ‚ΠΎΡ‡Π½Ρ‹Ρ… ΡƒΠ·Π»Π°Ρ…, присутствуСт Ρ€Π΅Π·Π΅Ρ€Π²ΠΈΡ€ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΊΠ°Π½Π°Π»Π° Π½Π° ΠΎΠ³Ρ€Π°Π½ΠΈΡ‡Π΅Π½Π½ΠΎΠ΅ врСмя. Для эффСктивного внСдрСния Ρ‚Π°ΠΊΠΎΠΉ сСти связи Π½Π΅ΠΎΠ±Ρ…ΠΎΠ΄ΠΈΠΌΠΎ Ρ€Π°ΡΡΡ‡ΠΈΡ‚Π°Ρ‚ΡŒ Π΅Ρ‘ вСроятностныС характСристики. Для ΠΎΡ†Π΅Π½ΠΊΠΈ вСроятностных характСристик сСти ΡˆΠΈΡ€ΠΎΠΊΠΎ ΠΈΡΠΏΠΎΠ»ΡŒΠ·ΡƒΡŽΡ‚ΡΡ ΠΌΠ΅Ρ‚ΠΎΠ΄Ρ‹ Ρ‚Π΅ΠΎΡ€ΠΈΠΈ массового обслуТивания. Π’Ρ…ΠΎΠ΄Π½ΠΎΠΉ ΠΊΠΎΠΌΠΌΡƒΡ‚Π°Ρ‚ΠΎΡ€ являСтся ΠΎΠ΄Π½ΠΈΠΌ ΠΈΠ· ΠΊΠ»ΡŽΡ‡Π΅Π²Ρ‹Ρ… устройств сСти. Π’ ΡΡ‚Π°Ρ‚ΡŒΠ΅ описываСтся Ρ€Π°Π±ΠΎΡ‚Π° Π²Ρ…ΠΎΠ΄Π½ΠΎΠ³ΠΎ ΠΊΠΎΠΌΠΌΡƒΡ‚Π°Ρ‚ΠΎΡ€Π° сСти с оптичСской ΠΊΠΎΠΌΠΌΡƒΡ‚Π°Ρ†ΠΈΠ΅ΠΉ ΠΏΠ°Ρ‡Π΅ΠΊ, производится расчёт вСроятных характСристик сСти с использованиСм аналитичСской ΠΈ ΠΈΠΌΠΈΡ‚Π°Ρ†ΠΈΠΎΠ½Π½Ρ‹Ρ… ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ. ΠŸΡ€ΠΈΠ²Π΅Π΄Π΅Π½Ρ‹ ΠΏΡ€ΠΈΠΌΠ΅Ρ€Ρ‹ расчёта вСроятности Π±Π»ΠΎΠΊΠΈΡ€ΠΎΠ²ΠΊΠΈ ΠΏΠ°ΠΊΠ΅Ρ‚ΠΎΠ², ΠΏΠΎΡΡ‚ΡƒΠΏΠ°ΡŽΡ‰ΠΈΡ… Π²ΠΎ Π²Ρ…ΠΎΠ΄Π½ΠΎΠΉ ΠΊΠΎΠΌΠΌΡƒΡ‚Π°Ρ‚ΠΎΡ€

    Evaluation ofΒ theΒ New andΒ Accepted Customers Blocking Probabilties inΒ aΒ Network ofΒ Resource Loss Systems

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    The paper considers a network of resource loss systems (ReLS) with random resource requirements and two types of nodes. Customers initially arrive to the first type of nodes, where they receive service for exponentially distributed time. The service of customers can be interrupted. In this case, they are rerouted to the second type of nodes, where they receive service for an exponentially distributed time. Once the service is completed, they return back to the original node and continue its service. Customers require a random volume of limited resources. If there are not enough of unoccupied resources upon the arrival of a customer, then it is considered lost. Similarly, if an accepted customer is rerouted to another node and finds that there are not enough of resources to meet its requirements, then it is also lost. In this paper, we provide an approach to analyze the stationary behavior of the considered system, as well as establish expressions for the new customer loss probability and the accepted customer loss probability. The developed model has a wide range of applications in performance evaluation of fifth generation (5G) New Radio (NR) access networks. To this aim, we investigate the response of the considered service system in detail by revealing critical dependencies and trade-offs between input system parameters and performance measures of interest.acceptedVersionPeer reviewe
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