Wireless Communications and Mobile Computing

Volume 2018 (2018), Article ID 9706813, 9 pages

https://doi.org/10.1155/2018/9706813

## Revenue-Maximizing Radio Access Technology Selection with Net Neutrality Compliance in Heterogeneous Wireless Networks

Department of Information Security and Communication Technology, Norwegian University of Science and Technology, Trondheim, Norway

Correspondence should be addressed to Elissar Khloussy

Received 4 October 2017; Revised 21 December 2017; Accepted 8 January 2018; Published 31 January 2018

Academic Editor: Vicente Casares-Giner

Copyright © 2018 Elissar Khloussy and Yuming Jiang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

The net neutrality principle states that users should have equal access to all Internet content and that Internet Service Providers (ISPs) should not practice differentiated treatment on any of the Internet traffic. While net neutrality aims to restrain any kind of discrimination, it also grants exemption to a certain category of traffic known as specialized services (SS), by allowing the ISP to dedicate part of the resources for the latter. In this work, we consider a heterogeneous LTE/WiFi wireless network and we investigate revenue-maximizing Radio Access Technology (RAT) selection strategies that are net neutrality-compliant, with exemption granted to SS traffic. Our objective is to find out how the bandwidth reservation for SS traffic would be made in a way that allows maximizing the revenue while being in compliance with net neutrality and how the choice of the ratio of reserved bandwidth would affect the revenue. The results show that reserving bandwidth for SS traffic in one RAT (LTE) can achieve higher revenue. On the other hand, when the capacity is reserved across both LTE and WiFi, higher social benefit in terms of number of admitted users can be realized, as well as lower blocking probability for the Internet access traffic.

#### 1. Introduction

Heterogeneous Wireless Networks (HWNs), where two or more Radio Access Technologies (RATs) coexist in the same geographical area, offer several opportunities to the Internet Service Provider (ISP) such as multiple connectivity options and a low-cost coverage expansion [1]. The ISPs, facing the fast increase in traffic demands, have interest in making the best utilization of all available resources in the HWN in order to increase the capacity of the network and meet, as much as possible, their customers’ expectations and demands.

Managing resources in HWNs involves setting up policies that regulate how the arriving traffic is distributed and served among the available RATs. A well-known key mechanism for resource management in HWNs scenarios is RAT selection. It consists of taking a decision, at each arrival of a new call request, on whether to accept this call or not and the RAT to which it can be admitted.

The decision taken by the RAT selection policy is based on the objective set by the ISP such as the maximization of the generated revenue. However, it is important to set rules that regulate how the traffic is served in order to avoid that the ISP exercises any kind of traffic discrimination. Hence, the principle of net neutrality has gained lots of attention recently.

The main idea behind net neutrality is that ISPs should treat all Internet traffic equally regardless of the content, application, device, sender, or receiver. While net neutrality principle states that all Internet traffic has to receive equal treatment, an exemption is granted to some non-Internet access services that require high transmission quality, known as specialized services (SS) [2]. Some examples of SS include VoLTE, linear broadcasting IPTV, and real-time health services [3]. In order to secure higher Quality of Service (QoS) to SS, the ISP is allowed to dedicate a certain amount of bandwidth to those services, without causing a degradation of the QoS experienced by the Internet access services (IAS) traffic.

However, in order to follow the net neutrality regulations, the ISPs might lose some of the generated revenue. Having revenue maximization as our main focus, we address the following problem:* how the bandwidth reservation for SS traffic would be made in a way that allows maximizing the revenue while being in compliance with net neutrality and how the choice of the ratio of reserved bandwidth would affect the revenue?*

In the present work, we derive RAT selection policies that allow maximizing the revenue while being net neutrality-compliant at the same time. We consider an integrated Long-Term Evolution (LTE)/Wireless Fidelity (WiFi) heterogeneous network. The optimal RAT selection policies are derived with the help of Markov Decision Process (MDP). Two types of traffic are considered, namely, SS and IAS traffic. To reserve bandwidth for SS traffic, two cases are proposed: bandwidth reserved in LTE only and bandwidth reserved in the whole HWN. Our aim is to figure out which way of bandwidth reservation is better to adopt and to investigate how the revenue would be affected by the choice of the ratio of reserved bandwidth to SS traffic.

The main contributions of this paper can be summarized as follows:(1)Investigation of the MDP-based approach for RAT selection, with focus on revenue maximization as objective(2)Integration of net neutrality in the RAT selection policy, with two variants of bandwidth reservation for SS traffic(3)The impact of the ratio of reserved bandwidth for SS traffic being studied with both variants(4)The coverage probability of WLAN being analytically modeled with the help of Poisson Point Process (PPP)(5)The spatial distributions of the cellular base stations (BS), WiFi access points (AP), and the users being also captured with PPP.

The remaining of the paper consists of the following parts: Section 2 presents the motivation and related work in the literature. Section 3 describes the system model. In Section 4, the components of the MDP problem are presented. Section 5 presents and analyzes the obtained results. Finally, we conclude this study in Section 6.

#### 2. Motivation and Related Work

Net neutrality has been heavily discussed in the past decade as a potential way to prevent the ISPs from exercising any type of discrimination on the Internet traffic. Content providers, in general, support net neutrality especially in monopolistic regimes where an ISP might have pricing power over the Internet access market. The ISPs, on the other hand, argue that service differentiation is crucial for QoS enhancement [4].

The use of capacity increase as an alternative to deal with QoS concerns resulting from applying net neutrality has been addressed in the literature. While this seems plausible, early study, for example, [5], already showed that the relationship between the net neutrality regulation and investment incentives is subtle and that it is difficult to draw general unambiguous conclusions regarding this issue. In addition, recent study, for example, [6], further shows that when strict net neutrality is applied, the ISPs will no longer have incentive to invest in expending their infrastructure and enhance the QoS.

Wu in [7] expanded the net neutrality debate by suggesting that policymakers ought to consider how to apply net neutrality regulations to wireless networks. This was opposed by a number of economists (e.g., [8]) who argued that, unlike the wired market, the competition will remain high in the wireless one.

Martínez et al. in [9] provided an initial analysis of the impact of net neutrality on quality of experience-based differentiation in mobile networks. In [10], the authors shed light on the content provider discrimination and discussed the impact of some of the disruptive network applications on net neutrality. In some other work, for example, [4, 11], alternative regulations to net neutrality have been proposed. Authors in [6] studied the paid prioritization where the content providers decide to pay for this priority in monopolistic access market. They showed that, with ISP’s optimal pricing, the service differentiation becomes efficient and the social welfare among the different content providers is close to its maximum. Altman et al. in [12] presented a bargaining framework to decide how much the ISP should charge the content provider.

In a previous work [13], we investigated MDP as a tool for modeling revenue-maximizing RAT selection policies. However, net neutrality was not taken into account in the derived model. The way the traffic was handled provided privileges to the high-priority traffic in getting admission to LTE which offers better QoS guarantees, at the expense of blocking or handing over part of the low-priority traffic from one RAT to another. This allows achieving higher revenue but violates the net neutrality regulations.

Net neutrality and its integration in RAT selection policies have been addressed in [14], where the performance of various RAT selection strategies that are net neutrality-compliant was compared. The objective was to give insight into the effect of applying net neutrality regulations on the revenue and the QoS.

In the present work, we model two variants of RAT selection policy that differ by the way the bandwidth reservation for SS traffic is exercised. Both are net neutrality-compliant and aim to maximize the generated revenue. By comparing their performance, we try to find the most appropriate way of bandwidth reservation for SS traffic and investigate the impact of the ratio of this reserved bandwidth on the generated revenue.

#### 3. System Model

##### 3.1. Network Architecture

We consider the case of an LTE/WiFi overlay network [15]. The traffic arrivals to the different base stations are independently distributed. Hence, without loss of generality, we can shift our focus to a single cell that corresponds to the coverage area of one cellular BS. LTE has global coverage, overlaying the WLAN; that is, within the coverage of the considered BS, there exists one or more WiFi AP(s).

Two types of traffic are served, namely, SS and IAS traffic, where IAS is charged a price , while SS is charged a price . Naturally, this pricing differentiation affects the traffic distribution among SS and IAS. In this paper, we adopt that and the ratio of traffic that is being sent as SS traffic out of the total traffic can be computed with the help of the following demand function that was proposed in [16] and has been adopted in the literature, for example, [17]:which implies that, out of the total traffic, the ratio of IAS traffic is .

##### 3.2. Spatial Distribution

Because of the overlay nature of our studied HWN scenario, a connection request might occur either in an area that is covered by the cellular RAT only or in a dual coverage area. In the latter case, an arriving session request can be admitted to LTE or to WiFi depending on the decision provided by the RAT selection policy. Here arises the need of getting knowledge regarding the spatial distribution of the BSs and the APs. The considered network architecture can be seen as a 2-tier heterogeneous network, where tier-1 is LTE and tier-2 is WiFi. A spatial point process, such as PPP, provides a concise and tractable model for HWNs, by offering a statistical modeling for the spatial distribution of the BSs and APs. In fact, PPP model has been used extensively for modeling unplanned networks [18] which is typically the case of WLAN APs’ deployment. In our considered scenario, the different aspects of the PPP model can be described as follows:(i)The positions of BSs/APs belonging to tier- are modeled according to a homogeneous PPP with intensity , where is defined as the number of BSs/APs per area unit, and with refers to LTE and refers to WiFi.(ii)Users are also scattered in the plane according to a homogeneous PPP with intensity users per area unit, independently of .

Through PPP modeling, different metrics can be captured. In the following, we derive the probability for a user to be under tier-’s coverage and the traffic arrival rates.

###### 3.2.1. Coverage Probability

The cellular system has global coverage; that is, all users in the considered HWN fall under the coverage of the cellular RAT. Hence, the coverage probability of LTE is .

As for the coverage probability of WiFi, it can be derived with the help of PPP as follows. First, we assume that each AP covers a circular area of known radius ; that is, the transmission of each AP can be received clearly by users residing at a distance not exceeding . Second, the interference from neighboring APs is considered negligible. Hence, a typical user is said to be under the coverage of WLAN if the distance separating this user from the nearest AP is less than . Therefore, the probability that a user is under WLAN coverage is equivalent to the cumulative distribution function of , namely, . Without loss of generality, we consider that the typical user is located at the origin of the plane under consideration [18]. Then, knowing that the null probability of a 2D Poisson process in an area is [19], we can derive the coverage probability of WiFi as follows:where is the Euclidean ball of radius centered at origin. Hence, the coverage probability of tier-2 is given by

###### 3.2.2. Traffic Arrivals and Holding Times

With the assumption that each user of class , ( represents SS and represents IAS) generates traffic following a Poisson distribution with average calls/second, the traffic arrival rates and of classes 1 and 2, respectively, can be easily derived as follows:where is the area covered by the targeted cell (in area unit) and is found from (1).

Note that, in (4), appears in both and , together with and , respectively. To simplify the representation, in later analysis and results, we will simply use and with and normalized against .

As for the call holding time for class , the traffic of each class is assumed to be inelastic; that is, the average duration of the service is independent of the allocated number of channels and following exponential distribution with mean , .

#### 4. Markov Decision Process Formulation

An MDP model is provided to derive the optimal RAT selection policy which maximizes our objective function. This model can be uniquely identified by five components: the state space, decision epochs, action space, state dynamics, and the reward function. We define each of these components in the following subsections.

##### 4.1. State Space

The state space represents the number of ongoing sessions in the HWN, that is, the number of SS sessions being served in LTE and WiFi and, similarly, number of IAS sessions being served in both LTE and WiFi. For ease of representation in MDP, we model the problem with one particular AP in WLAN that we call the targeted AP. Hence, a 4D-MDP serves to build our model. On the other hand, we assume a fixed total capacity for both RATs, each being partitioned into a fixed number of basic bandwidth units (bbu) as in, for example, [15, 20, 21]. This implies that a limited number of sessions can be served simultaneously by each RAT. The total capacities of LTE and WiFi can be defined as integers that we denote by and , respectively. Any newly arriving session that cannot be granted its required amount of bbu is blocked. Thus, by restricting the number of ongoing connections in the system, the delivered QoS to the different connections can be maintained at an acceptable level. To simplify the notation, we refer to each type of served traffic as class , with denoting SS traffic and denoting IAS traffic.

We define the following row vectors:(i)State vector of LTE is(ii)State vector of WiFi is(iii)State vector of the system is

where denotes the number of sessions of class in RAT ; represents the set of nonnegative integer numbers.

The state space of the system, which is the set of all feasible states, differs according to the RAT selection policy. The following two cases are to be distinguished: reserved bandwidth for SS traffic in LTE only and reserved bandwidth for SS in both LTE and WiFi.

*State Space: Reserved Bandwidth in LTE Only.* In this case, the state space can be defined as follows:where represents the number of reserved bbu in LTE for the usage of SS traffic.

*State Space: Reserved Bandwidth in LTE and WiFi.* In this case, the reserved bandwidth for SS traffic is spread across the available RATs, namely, LTE and WiFi. The state space in this case becomeswhere denotes the number of bbu reserved for SS traffic in both LTE and WiFi.

##### 4.2. Decision Epochs and Actions

At each arrival of a class session request, , the RAT selection policy makes a decision concerning the admission of this new session. A decision epoch occurs at each new session request. It is defined as the time following immediately an arrival event. As for the events of call completion, they do not require any decision to be taken by the system.

The action taken following each decision epoch can be defined as a vector where denotes the action resulting from the arrival of a class session. A decision can be either to admit the arriving session to LTE or to admit it to WiFi or block it. can be defined as follows:

The action space of the MDP is defined as the set of vectors as follows:However, for a given state , the decision should always lead to a state that is also in . Moreover, when the system is in state , the action should be avoided in order for the system to keep evolving. Hence, for a given state , the state action space is given by the following:where is a vector of zeros except for the* i*th element which is equal to 1.

##### 4.3. State Dynamics

The state dynamics of the MDP are defined by two parameters, namely, the expected sojourn time and the transition probabilities.

###### 4.3.1. Expected Sojourn Time

The sojourn time is defined as the expected time for the system to stay in state given that action is chosen, until a new state is entered. The sojourn time is used to compute the transition probabilities for a continuous-time MDP, and its value can be expressed as follows [22, 23]:where is the arrival rate for class traffic, is found from (4), and is the mean value of the call holding time of class .

###### 4.3.2. Transition Probabilities

Let denote the transition probability from state to state , , provided that action is chosen. The state transition probabilities can thus be written as follows:where is the coverage probability of the targeted AP: and is a function defined as follows:

##### 4.4. Policy and Reward Function

For each state , an action is chosen according to a policy , where is a set of admissible policies defined as follows:

The reward function for choosing action , when the system is in state , can be defined as follows:where is the weight associated with the admission of a class session into RAT , being the set of nonnegative real numbers. Since our objective is to maximize the revenue, the weights in the reward function are assigned the value for and for .

By solving the MDP, an optimal policy that maximizes the reward function can be found. The RAT selection module will then, based on the optimal policy provided by the MDP, decide on the admission or rejection for each arriving session. A summary of the notations used in the paper is presented in Notations.

#### 5. Numerical Results

In this section we present and analyze the results obtained from the implementation of the two variants of the net neutral revenue-maximizing RAT selection policy, namely, bandwidth reservation for SS in LTE only and bandwidth reservation for SS in the HWN as a whole. In addition, the results obtained from a* non-net neutral* revenue-maximizing RAT selection policy (introduced in [13, 14]) are presented as reference. The non-net neutral policy prioritizes the admission of SS services traffic and allows the handover of IAS traffic between LTE and WiFi when there is need to free resources for SS traffic.

To solve the MDP problem and find the optimal policy, we used the relative value iteration algorithm, defined in the MDP toolbox (developed by [24]). If not otherwise stated, the values of the system parameters used in our analysis are as shown in Table 1.