@article {11515935620160506,
	title = {Achieving QoS in Virtual MIMO systems: a satisfaction equilibrium analysis.},
	journal = {EURASIP Journal on Wireless Communications \& Networking},
	volume = {2016},
	number = {1},
	year = {2016},
	pages = {1 - 13},
	abstract = {This paper presents a game theoretic framework to analyze a cellular-WLAN heterogeneous network from a virtual multiple-input multiple-output (VMIMO) perspective. Namely, we restrict to the uplink case and consider a non-cooperative game where each user seeks to meet some quality of service (QoS). Moreover, mobile users are allowed to re-inject, through their WLAN interfaces, a part of their throughput in the induced game. Thus, the interaction among users defines a distributed VMIMO with a possibly throughput exchange. This mechanism will help all users to meet their respective QoS expressed by the perceived average throughput. The average throughput is considered to be the utility function used in this framework. Now, each mobile user experiences a certain throughput composed of two parts: (1) the throughput received from cellular subsystem and (2) the throughput received from WLAN subsystem. Naturally, we use the concept of satisfaction equilibrium to predict the behavior of the ne},
	keywords = {Cellular/WLAN heterogeneous network, Equilibrium {\textendash} Research, Game theory, Game theory {\textendash} Research, MIMO systems {\textendash} Research, Quality of service, Quality of service {\textendash} Research, Satisfaction equilibrium, Virtual multiple input multiple output, Wireless LANs {\textendash} Research},
	issn = {16871472},
	url = {http://search.ebscohost.com/login.aspx?direct=true\&db=iih\&AN=115159356\&site=ehost-live},
	author = {Bennani, Hassan and Sabir, Essaid and Kobbane, Abdellatif and Ben-Othman, Jalel and El-Koutbi, Mohamed}
}
@article { ISI:000375569000001,
	title = {Achieving QoS in Virtual MIMO systems: a satisfaction equilibrium analysis},
	journal = {EURASIP JOURNAL ON WIRELESS COMMUNICATIONS AND NETWORKING},
	year = {2016},
	month = {MAY 6},
	abstract = {This paper presents a game theoretic framework to analyze a cellular-WLAN heterogeneous network from a virtual multiple-input multiple-output (VMIMO) perspective. Namely, we restrict to the uplink case and consider a non-cooperative game where each user seeks to meet some quality of service (QoS). Moreover, mobile users are allowed to re-inject, through their WLAN interfaces, a part of their throughput in the induced game. Thus, the interaction among users defines a distributed VMIMO with a possibly throughput exchange. This mechanism will help all users to meet their respective QoS expressed by the perceived average throughput. The average throughput is considered to be the utility function used in this framework. Now, each mobile user experiences a certain throughput composed of two parts: (1) the throughput received from cellular subsystem and (2) the throughput received from WLAN subsystem. Naturally, we use the concept of satisfaction equilibrium to predict the behavior of the network. Indeed, we provided a sufficient condition for the existence of such an equilibrium. Next, we prove the uniqueness of the equilibrium and compute it explicitly. Afterward, we propose a fully distributed algorithm inspired from the well-known Banach-Picard learning algorithm. Our scheme has many good features facilitating its implementation and usability. Indeed, it accurately converges to the equilibrium (if exists), it is very fast, and it requires no external information. Simulation results validate the algorithm and show its robustness and illustrate numerically the proposed learning scheme for quality-of-service management in such a heterogeneous network.},
	issn = {1687-1499},
	doi = {10.1186/s13638-016-0612-6},
	author = {Bennani, Hassan and Sabir, Essaid and Kobbane, Abdellatif and Ben-Othman, Jalel and El-Koutbi, Mohamed}
}
@conference { ISI:000361140000010,
	title = {A Tax-inspired Mechanism Design to Achieve QoS in VMIMO Systems : Give to Receive !},
	booktitle = {2014 INTERNATIONAL WIRELESS COMMUNICATIONS AND MOBILE COMPUTING CONFERENCE (IWCMC)},
	series = {International Wireless Communications and Mobile Computing Conference},
	year = {2014},
	note = {10th International Wireless Communications \& Mobile Computing Conference (IWCMC), Nicosia, CYPRUS, AUG 04-08, 2014},
	pages = {56-62},
	publisher = {IEEE; IEEE Cyprus Sect; Frederick Univ},
	organization = {IEEE; IEEE Cyprus Sect; Frederick Univ},
	abstract = {In this paper, we model a Virtual MIMO system using a game-theoretic approach. We are interested in the uplink, considering a non-coopertive game, where each user try to satisfy a quality of service. The uplink of a direct-sequence code division multiple access (DS-CDMA) data network is considered and a non-cooperative game is proposed in which users are allowed to choose their uplink receivers as well as to satisfy their quality of service. The utility function used in this framework is defined so that the throughput used by the user is divided into two components : the throughput received from cellular Network, and throughput received from Virtual MIMO System. In addition, this framework is used to study a constrained Nash equilibrium for the proposed game, and the impact of the interaction among users.},
	isbn = {978-1-4799-0959-9},
	issn = {2376-6492},
	author = {Bennani, Hassan and Sabir, Essaid and Kobbane, Abdellatif and Walid, Abdellaziz and Ben-Othman, Jalel}
}
