# Performance Analysis of D2D Communication with Retransmission Mechanism in Cellular Networks
## 2 Related Work  
D2D underlay cellular networks can be subject to interference among cellular users and D2D users because of the spectrum-sharing mechanism. A proper interference management scheme is crucial for maintaining the QoS of D2D and cellular links. The authors in [24] proposed centralized and distributed power control algorithms to improve the coverage probability of cellular users and maximize the sum rate of D2D links in D2D underlay cellular networks. In [25], joint power control and radio resource allocation techniques were adopted to maximize the number of D2D users allowed in the network. The authors in [26] specified accessible regions for D2D users and reusable regions for cellular users. In their approach, once the cellular users entered the reusable region, D2D users in the accessible region were capable of reusing the radio resource. The results showed that both cellular and D2D users could achieve a higher SINR compared with the result in [27]. A resource management and power control scheme was proposed in [28] to mitigate the co-channel interference from D2D users to cellular users. It is well known that mathematical methods play a significant role in system modeling and optimization analysis [29; 30; 31]. To get the probability that a typical mobile user is able to achieve some threshold SINR, the random spatial positions of mobile users need to be modeled by stochastic geometry rather than Monte Carlo methods. In [29], the authors introduced the service success probability to capture the mobility of users and the activeness of communication links in a cache-enabled D2D cellular network. Simulation results revealed the influence of file size distributions on performance metrics. The authors in [30] analyzed the performance of network-assisted D2D discovery in random spatial networks and derived useful guidelines. The Poisson point process was used to model the base station (BS) position, and approximate expressions for the distribution of the distance between two D2D users were derived. The study in [31] focused on a distributed caching device-to-device network in which the contents were cached as several portions in the buffer of other devices. By using the stochastic geometry model, the mobility patterns of D2D users were evaluated. The results demonstrated that user mobility improved the coverage probability. The system models in the aforementioned works were developed for saturated traffic with infinite wireless data generation, which affected the interference state and further network QoS performance evaluation. It is important to establish a dynamic traffic model to describe sporadic wireless data generation instead of saturated traffic. There are some literature works related to performance analysis on D2D communications using the queuing model [15, 32, 33]. In [15], the authors investigated the performance of resource allocation schemes in D2D communications by formulating a queuing model with a resource allocation strategy. In [32], the authors investigated the stability region for overlay D2D communication in which a user-to-user communication and user-to-BS communication coexisted. A new transmission strategy was proposed in [33], which modeled the characteristics of dynamic interference and system behavior as an M/G/1 queuing model. In the existing works, the authors considered both the spatial distribution and unsaturated traffic model by combining the tools from stochastic geometry and queueing theory, such as [17, 18]. The analysis in these works considered the traffic generated at random spatial regions. However, packet retransmissions on each link were not taken into account. For example, in the work in [17], the authors investigated a distributed D2D power allocation framework, in which D2D pairs reused the channel of interior cellular users. By using stochastic geometry, an individual interference budget that each D2D pair may not exceed toward the CUs was derived.