Asymptotic behavior of a GPRS/EDGE network with several cells controlled by a global capacity limit (original) (raw)
Related papers
Proceedings of the 11th annual international conference on Mobile computing and networking - MobiCom '05, 2005
This paper is a contribution to the generic problem of having simple and accurate models to dimension radio cells with data traffic on a GPRS or EDGE network. It addresses the issue of capacity limitation in a given cell due to coupling with other cells because of a central equipment or transmission link of limited capacity. A mobile station can't access the requested resource although it is alone in a cell. The traffic on other coupled cells leads to reach the global capacity limit. Our objective is to avoid the derivation of any multi-dimensional Markovian (or semi-Markovian) model, where each dimension corresponds to a given cell of the system. Such direct extensions would be of non-manageable complexity. Instead we derive an analytical model that captures in an aggregate way the coupling between cells. We show that the performance parameters of the GPRS/EDGE network can be derived quickly and with a very good accuracy. Finally, as our modeling framework allows very fast computations, we show how to use it to perform complex iterative dimensioning studies.
Extended Erlang-B law for performance evaluation of radio resources sharing in GSM/(E)GPRS Networks
2005 IEEE 16th International Symposium on Personal, Indoor and Mobile Radio Communications, 2005
In this paper, we derive a simple and accurate Erlang-like law for the dimensioning of radio resources in GSM/GPRS/EDGE networks taking into account the voice and data traffic mix in a cell. Resources are assumed to be shared according to the so-called Partial Partitioning scheme whereby some circuits are dedicated to voice, others to data, and the remaining are shared but voice traffic can preempt them.
Traffic Models and Associated Parameters in GSM/(E)GPRS Networks
2009
GSM/(E)GPRS networks support a mixture of traffic consisting of voice and data. A key concept of dimensioning radio resources in such networks is represented by sharing resources between different users and different services. In this paper we address the problem of voice and data traffic models according to different resources allocations strategies: CP (Complete Partitioning) and PP( Partial Partitioning) and define specific parameters in each case. The proposed traffic model depend in each case on the resources allocation strategy: for voice traffic it is based on both cases, CP and PP, on Erlang law meanwhile for data traffic we build different models depending the scheme used for resources allocation. For CP scheme we propose two models: the model based on Erlang law and those based on modified Engset law. For PP scheme we also proposed two models: one is based on the bi-dimensional Markov chain and the other on the modified Engset law. Both consider voice-data interaction according to the PP scheme. In all cases we define specific performance parameters. We also implement the studied models and evaluate the proposed performance parameters. Finally we compare the results in order to find the adequate model to use for dimensioning purposes.
Dimensioning Rules Regarding Radio Resources in GSM/GPRS Networks
2009
Many works have studied traffic modeling in GSM/GPRS networks trying to establish different performance parameters needed for dimensioning purposes. An important element of these networks is the radio resources. Sharing resources between different users and different services is a key concept of radio resources dimensioning in GSM/GPRS networks. In this paper we focus on the problem of performance evaluation in GSM/GPRS networks. We consider different resources allocation strategies such as: CP (Complete Partitioning) and PP (Partial Partitioning) and we study the influence of different operational details concerning TS (time-slots) assignment: FR (full rate), HR (half rate) and packing. Finally, we establish dimensioning rules based on traffic evaluation and quality of service level for GSM/GPRS users. For voice users the quality of service is given by the blocking probability calculated according to the proposed packing rule and for GPRS users the individual throughput and the blocking probability represent the performance parameters. We consider also the preemption probability of voice over data users.
Influence of Intra-cell Connections on the Traffic Calculation of Radio Resources in Mobile Network
Frequenz, 2013
In this paper we analyze the influence of the connections between users, belonging to the same cell, on the increase of traffic loss. The utilization of Erlang model in this case gives underestimated loss. We calculate some simple examples in the case of GSM. Several numerical examples prove that traffic loss increases with the increase of intra-cell traffic in total traffic and with the increase of the number of channels in the group. The results are confirmed by the computer simulation.
Dimensioning of signaling capacity on a cell basis in GSM/GPRS
The 57th IEEE Semiannual Vehicular Technology Conference, 2003. VTC 2003-Spring.
Accurate dimensioning of signaling capacity is decisive for the efficient operation of mobile telecommunication networks. In this paper, an automatic optimization algorithm for adaptation of permanent signaling resources in GSM/GPRS is proposed, which is based on statistical measurements of signaling and call traffic. Analysis of real network indicators demonstrates that overall revenue losses caused by blocking effects may be greatly minimized.
Scalability analysis of a model for GSM Mobile Network design
2010
This work shows a mathematical and computational tool to design a GSM (Global System for Mobile Communications) Network, in the point of view of BSC (Base Station Controllers) allocation and dimensioning. It optimizes the total transmission cost and BSC acquisition cost. It determines how much BSC are need, in what sites they has to be allocated, what model each one must have to support the total traffic demand without wasting money with their acquisition and what BTS (Base Transceiver Station) must be linked to what BSC for transmission cost reduction. Its core is a integer programming (IP) model as presented in Wolsey et al [8]. The approach of data generation to the model from the real world is explained too. In this model, the BSC nodes are allocated taking account both factors: Transmission and BSC acquisition costs. The transmission cost involves distance and capacity of the E1 lines. The links between BTS and BSC are allocated, and the ones between BSC and MSC are dimensioned in number of E1 lines. The choice of the BSC model that has the best capacity to the total traffic demand gives flexibility for the mobile network design comparing with fixed capacity models. It is important since in real cases, the BSC equipments supplier gives configuration options from low capacity and price, until high capacity with good relative cost. This model uses the traffic demand in Erlangs instead of number of voice channels. This approach allows the links between BSC and MSC (Mobile Switching Center) dimensioning using the statistic gain of telephony switches. Otherwise, simple deterministic sum of voice channels would be very simplistic, but would oversize the links too. Other important contribution in this model is the fact that it addresses the new resources allocation technique of BSC switches that rises its capacity. The traditional way of resources allocation (processors, for instance) to the radio channels was deterministic and fixed. Thus, its capacity was given by total number of voice channels (4096, for instance). Nowadays, the BSC can handle a pool of resources that are allocated on-demand. The capacity rises and is given by its total traffic in Erlang.
Lecture Notes in Computer Science, 2004
In this paper, we focus on a simple yet important objective: to provide Erlang-like models for GPRS/EDGE radio engineering. To this end, we develop a constructive model based on an original discretetime Markov process that captures the detailed behavior of the radio allocator when a finite number of users are performing ON/OFF sessions in the cell. After a preliminary focus on infinite-length sessions, which provide a simpler analytical framework, we include finite-length sessions and study their specific effects.
Modelling of Cellular Networks with Traffic Overflow
Mathematical Problems in Engineering, 2015
The paper proposes a new method for modelling multiservice cellular networks with traffic overflow. The proposed method employs a model of Erlang's Ideal Grading (EIG) with multiservice traffic and differentiated availability. The fundamental advantage of the proposed method, as compared to other relevant methods, is a major simplification in modelling systems with traffic overflow that results from the elimination of the necessity of a determination of the parameters of overflow traffic, that is, the average value and the variance. According to the proposed method, calculations in the overflow system can be reduced to calculations in a system composed of one grading only. The paper presents the method for determining availability in such a grading that models a system with traffic overflow. The results of analytical calculations were compared with the results of simulation experiments. The results of the research study confirm high accuracy of the proposed method.