A simple approximation of the link model with reservation by a one-dimensional Markov chain

Stasiak, Maciej; Głąbowski, Mariusz

doi:10.1016/s0166-5316(00)00008-0

Cited by 73 publications

(41 citation statements)

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“…For the 3'd service-class, the method of S&G results in much better BBP results compared to the corresponding results when the method of S&G is not applied. ±3.46xl0· 5 6 3.38xlo-j 2.98x10-j 1.61x10-j 1.62x10-j 1.77x10-j 6.91x10-4 8.25xl 0-4 9.58xl0" 4 ±l.52x10" 4 ±8.61xlo-s +4.40x10· 5…”

Section: If Jreal > C -Tk Thenmentioning

confidence: 99%

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Call-Burst Blocking Probabilities of ON-OFF Traffic Sources under the Bandwidth Reservation Policy

Moscholios

Logothetis

2004

Lecture Notes in Computer Science

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Abstract. We calculate call and hurst hlocking prohahilities (CBP and BBPrespectively) in a singlelink loss system accommodating service-classes of ON-OFF traffic calls, either of high or low handwidth requirements. To benefit high speed calls the handwidth reservation (BR) policy is considered (ON-OFF/BR model). Poisson arriving calls enter the system via state ON and may altemate hetween states ON and OFF. When a call passes to state OFF it releases the handwidth held in state ON which hecomes availahle for new arrivals. When the call tries to return to state ON it re-requests its handwidth. If it is availahle a new hurst hegins; otherwise, the hurst is hlocked and the call remains in state OFF. The CBP/BBP calculation is hased on approximate formulas.

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Section: If Jreal > C -Tk Thenmentioning

confidence: 99%

“…The resultant BBP formula is based on the calculation of the average number of calls in the hurst hlocking state space. This calculation (and consequently the BBP) is improved hy the method of Stasiak&Glahowski (S&G) [4] that takes into account the average population of calls inside the service-dass RS that it is not negligihle in reality.…”

Section: Introductionmentioning

confidence: 99%

Call-Burst Blocking Probabilities of ON-OFF Traffic Sources under the Bandwidth Reservation Policy

Moscholios

Logothetis

2004

Lecture Notes in Computer Science

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“…A system state denotes the total occupied link bandwidth by the calls of all service-classes. The symbol y k ðjÞ denotes the RTR (in accordance to [13]}see Figure 1) of a service-class k call outgoing from state j of the system. The RTR y k ðjÞ expresses the average number of service-class k calls serviced in state j; and can be calculated by the following formula 1:…”

Section: Introductionmentioning

confidence: 99%

“…The calculation of the modified RTR y n k ðjÞ of service-class k is given by (13) where w k;i ðjÞ is a weight factor that determines the portion of the total RTR of a service-class k; which is transferred to state j by a service-class i call. The parameter w k;i ðjÞ is given by [13]:…”

Section: Introductionmentioning

confidence: 99%

Engset multi-rate state-dependent loss models with QoS guarantee

Moscholios

Logothetis

2006

Int. J. Commun. Syst.

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SUMMARYWe consider a single link loss system of quasi-random input, described by the Engset multirate loss model (EnMLM). Blocked calls may once reattempt to be connected to the system requiring less bandwidth; then the system is described by the single retry model for finite sources (f-SRM). The EnMLM and the f-SRM are extended with the single threshold finite source model (f-STM), where calls may attempt to be connected to the system with less bandwidth requirements, according to the link occupancy, before blocking occurs. We focus on CBP equalization in the EnMLM, f-SRM and f-STM, under the bandwidth reservation (BR) policy. For this analysis, we apply two approximate methods, the Roberts' method and the method of reverse transition rates (RTR), which lead to a recursive CBP calculation. We evaluate the accuracy of the above models under the BR policy by comparing the analytical with simulation CBP results, based on the relative approximation errors (RAE). The results are highly satisfactory because they show that the proposed models (formulas) lead to small RAE.

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“…This recursion is only an approximation, since the model does not take into account some reservations [SG00] and the final results may not be accurate. As shown later, the accuracy of this approximation is poor.…”

Section: Algorithmmentioning

confidence: 99%

Design and evaluation of admission control policies in mobile cellular networks

Mor¹

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A través de estas líneas me gustaría mostrar mi agradecimiento a aquellas personas que han hecho que esta tesis sea posible. Mi más sentido agradecimiento a mis directores de tesis, Jorge y Vicent, por su dirección, su ayuda y por todos los conocimientos y entusiasmo que me han transmitido. A Vicente, por su experiencia investigadora y por el inestimable trabajo que realiza dia a dia en el grupo. También, a todos los miembros del grupo GIRBA.Me gustaría mostrar mi agradecimietno por su amistad y apoyo a los miembros del laboratorio con los que he compartido esta andadura dia a dia. Aquellos con los que empecé, María José, José Manuel y David G., por mostrarme el camino a seguir. Aquellos con los que finalizo, Diego, Salva, David T., por mantener la ilusión y el entusiasmo siempre. También, a los compañeros de otros laboratorios que han compartido toda esta etapa.También quiero mostrar mi agradecimiento por el apoyo y la hospitalidad recibida a Prof. Chris Blondia durante la estancia en el grupo PATS. A Kathleen y Bart por su entusiasmo, dedicación y profesionalidad. A todos los miembros del grupo PATS por la acogida recibida. Así mismo, quiero agradecerle a Prof. Ian Akyildiz la hospitalidad y los consejos recibidos durante la estancia en BWN lab. A Josep Miquel. A todos los miembros de BWN lab por su amabilidad y su talento investigador.Finalmente, me gustaría agradecer el apoyo, la paciencia y comprensión de mi familia. Ellos me han acompañado durante todo este tiempo dándome fuerzas y ánimo en cada paso. Gracias. AbstractIn the last decade, mobile cellular networks have experienced a major growth and progress due to a change in the way today's society creates, shares and consumes information. The enormous impact and penetration of mobile phone services on the society, as well as the introduction of a large variety of multimedia and data services, has lead to a spectacular growth of the traffic volume carried by these type of networks. This trend will continue in the coming years as new applications are continuously appearing with higher QoS and bandwidth requirements. However, current mobile cellular networks have to face strong bandwidth limitations due to the scarcity of frequencies in the radio spectrum. Thus, these new requirements have established new challenges for the telecommunication industry. It is necessary to manage an increasing number of demanding services together with the scarcity of the spectrum in order to offer services that meet the user needs in an efficient and economical manner. In this context, the radio resource management arises as a key strategy to deal with those network requirements. Specifically, the admission control is a key mechanism to efficiently use the available radio resources, while providing the required QoS guarantees for all users.This work aims at designing and evaluating admission control policies implemented in mobile cellular networks that support different bearer services. Moreover, this thesis is a contribution to the development of models that evaluate differ...

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A simple approximation of the link model with reservation by a one-dimensional Markov chain

Cited by 73 publications

References 11 publications

Call-Burst Blocking Probabilities of ON-OFF Traffic Sources under the Bandwidth Reservation Policy

Call-Burst Blocking Probabilities of ON-OFF Traffic Sources under the Bandwidth Reservation Policy

Engset multi-rate state-dependent loss models with QoS guarantee

Design and evaluation of admission control policies in mobile cellular networks

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