A Retrial Queue to Model a Two-Relay Cooperative Wireless System with Simultaneous Packet Reception

Dimitriou, Ioannis

doi:10.1007/978-3-319-43904-4_9

Cited by 15 publications

(4 citation statements)

References 26 publications

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“…where δ k,0 is the Kronecker's symbol, and the set of equations (3.1)-(3.3) is a version of Kolmogorov's equations. The boundary conditions are 7) and the normalization condition is…”

Section: Steady-state Distribution Of the Systemmentioning

confidence: 99%

Stochastic analysis of a preemptive retrial queue with orbital search and multiple vacations

Gao

Wang

2020

RAIRO-Oper. Res.

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This paper deals with a preemptive priority M/G/1 retrial queue with orbital search and exhaustive multiple vacations. By using embedded Markov chain technique and the supplementary variable method, we discuss the necessary and sufficient condition for the system to be stable and the joint queue length distribution in steady state as well as some important performance measures and the Laplace-Stieltjes transform of the busy period. Also, we establish a special case and the stochastic decomposition laws for this preemptive retrial queueing system. Finally, some numerical examples and cost optimization analysis are presented.Mathematics Subject Classification. 60K25, 90B22.

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“…where δ k,0 is the Kronecker's symbol, and the set of equations (3.1)-(3.3) is a version of Kolmogorov's equations. The boundary conditions are 7) and the normalization condition is…”

Section: Steady-state Distribution Of the Systemmentioning

confidence: 99%

Stochastic analysis of a preemptive retrial queue with orbital search and multiple vacations

Gao

Wang

2020

RAIRO-Oper. Res.

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“…where r = 0, 1, whether x is zero or not of A(x, Y 0 (x)) in S x . Thus, G(x) is regular for x ∈ G M , continuous for x ∈ M ∪ G M , and U (x) is a non-vanishing function on M. By conformally transform the problem (17) from M to the unit circle, using z = γ(x) : G M → G C , and its inverse given by x = γ 0 (z) : G C → G M , the problem in ( 17) is reduced to the following: find a function…”

Section: B the Boundary Value Problemsmentioning

confidence: 99%

“…. Thus, under stability conditions the problem defined in (17) has a unique solution for x ∈ G M given by,…”

Section: B the Boundary Value Problemsmentioning

confidence: 99%

Network-Level Cooperation in Random Access IoT Networks with Aggregators

Παππάς

Dimitriou

Chen

2018

2018 30th International Teletraffic Congress (ITC 30)

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In this work, we consider a random access IoT wireless network assisted by two aggregators. The nodes and the aggregators are transmitting in a random access manner under slotted time, the aggregators use network-level cooperation. We assume that all the nodes are sharing the same wireless channel to transmit their data to a common destination. The aggregators with out-of-band full duplex capability, are equipped with queues to store data packets that are transmitted by the network nodes and relaying them to the destination node. We characterize the throughput performance of the IoT network. In addition, we obtain the stability conditions for the queues at the aggregators and the average delay of the packets.

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“…One of the first paper on the retrial queueing system with two-way communication was presented by Falin [11]. So far several authors have investigated this type of models [7,8,[15][16][17]19,20].…”

Section: Introductionmentioning

confidence: 99%

Modeling of a Two-Way Communication System with a Special Searching for Customers

Kuki

Bérczes

Sztrik

et al. 2019

Communications in Computer and Information Science

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In this paper a special system with two-way communication is modelled by a finite and an infinite sources queueing system with retrial. The system is unreliable, the server may subject to random breakdowns. Customers from the finite source are the first order or regular customers, while the customers from the infinite source are the second order or the invited customers. The novelty of this paper is to investigate and model this unreliable system with different idle and busy breakdown intensity and different service rates for first and second order customers. In case of a busy server for first order customers, they can retry their requests. In case of an idle server, the second order customers are called for service. The effect of the breakdown and repair intensities are also investigated. The system balance equations are formulated, and the steady state probabilities can be obtained. Here the MOSEL-2 tool is used for these calculations. By the help of these probabilities the common performance measures are calculated and displayed.

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A Retrial Queue to Model a Two-Relay Cooperative Wireless System with Simultaneous Packet Reception

Cited by 15 publications

References 26 publications

Stochastic analysis of a preemptive retrial queue with orbital search and multiple vacations

Stochastic analysis of a preemptive retrial queue with orbital search and multiple vacations

Network-Level Cooperation in Random Access IoT Networks with Aggregators

Modeling of a Two-Way Communication System with a Special Searching for Customers

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