A Pricing Model to Optimize Transmission Strategies for Mobile Devices

A Pricing Model to Optimize Transmission Strategies for Mobile Devices

Mohamed El Amrani (Information Processing and Decision Support Laboratory, Sultan Moulay Slimane University, Morocco), Hamid Garmani (Information Processing and Decision Support Laboratory Sultan Moulay Slimane University, Morocco), Driss Ait Omar (Information Processing and Decision Support Laboratory Sultan Moulay Slimane University, Morocco), Mohamed Baslam (Information Processing and Decision Support Laboratory Sultan Moulay Slimane University, Morocco) and Brahim Minaoui (Information Processing and Decision Support Laboratory Sultan Moulay Slimane University, Morocco)
DOI: 10.4018/978-1-7998-3355-0.ch008

Abstract

The simultaneous multiple data transmission can improve the use of the network. Unlike existing solutions in the literature, in this chapter, the authors propose a solution to the network resource allocation problem under the selfish behavior of mobile device with multiple connections to several available network interfaces simultaneously, to resolve the conflict of interest in network. They analyze the impact of interactions between users based on two conflicting factors (i.e., throughput and monetary cost). Also, a diverse set of user service types is taken into consideration, which makes the proposed approach suitable for an integrated service network. Analytical and numerical results demonstrate the validity of the proposed approach, which show that the non-cooperative game has an equilibrium point that depends on all parameters of the system, and they show that this situation between mobile devices is much more beneficial in terms of the performance of mobiles, cost, and the data transfer rate.
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Introduction

Normally, a single connection does not allow full use of the network, especially when the quality of the network is not good. To accommodate the explosive growth in mobile data traffic, multihoming networks where users with multiple network interfaces can simultaneously transmit data traffic over this interfaces. Traditional modeling does not specifically consider this situation according to the needs of users (e.g., voice and video traffic). But today, mobile devices need more and more transmission speed and often when these latter are authorized to use multiple connections (sessions) and they share, simultaneously, multiple network interfaces (Wifi, Bluetooth, 3G,4G, ...), by ensuring user’s satisfaction to offer multifarious services in the most resource- and cost-efficient manners . In this case mobile devices, interact with each other, which means that the pay-off (maximizing net data transfer and minimizing cost) of each device (user) depends not only on the number of concurrent connections established by it, but also on the number of concurrent established connections by the other devices using the same network interfaces as it. These common uses between devices create an atmosphere of interaction that translates by the number of concurrent established connections by each mobile device. The choice of this number must be taken in such a way that each device maximizes its gain while maintaining the stability of the systems (Mobile devices in equilibrium).

So, the objective of this work is to establish a complete and a realistic model, which takes into consideration the interaction between mobile devices and the state of the system. After we show existing and uniqueness of equilibrium, and based on this model, we will show the effectiveness of the equilibrium, we analyze the impact of the model parameters on the state of the system.

The rest of this paper is as follows: in the section 2 we present related works and in the section 3 we develop our model. Section 4 provides theorems for the existence and uniqueness of equilibria, the section 5 presents a numerical study to validate our claims. Finally, we conclude the paper is section 6.

The resource management of devices that have multiple interface is not obvious. Several works have begun this problem, and the researchers who deal with the notion of bandwidth aggregation, this last is an important technical that allows devices to use multiple network interfaces to improve throughput, which can be studied at different network layers, Application, transport, network and link (Ramaboli et al. 2012) (Chebrolu et al. 2005) (Chebrolu and Rao 2006) (Habak et al. 2015). Various methods focus on the transport layer. In (Nguyen et al. 2011), authors use a Multi-TCP protocol on mobile devices and provide an analysis of the overall throughput of the network. In (Liu et al. 2001), authors study the impact of concurrent downloading on the fairness and system's transient behavior.

The contributions that are most related to ours are (Lu et al. 2013) and (Zhang et al. 2005); (Lu et al. 2013) presents a concurrent transmission method for mobile device in multihoming devices, based on the use of strategies: maximum throughput strategy, minimum delay strategy and minimum consumption strategy. In (Zhang et al. 2005), authors study a selfish behavior of TCP users in which users are allowed to open multiple concurrent connections to maximize their individual goodputs.

Problem Modeling

We first define the transmission of mobile as an interaction game. The definition of the utility function will be presented in the next subsection.

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