# Mathematical Models for Named Data Networking Producer Mobility Techniques: A Review
## 1 Introduction  
Named Data Networking (NDN), alternatively referred to as \"future network technology\", is anticipated to encounter heightened expectations due to the increasing demands of the digital age beyond the original vision of its inventors. Consequently, scholars and experts in academia and industry are currently focused on advancing the next-generation network, addressing the various limitations of the emerging Internet, and assuring its sustained progress [1]. The computer business encounters substantial obstacles in effectively handling the extensive content disseminated by solutions, which include the Internet of Things (IoT), Blockchain technology, Cloud-Edge technology, and Artificial Intelligence (AI). When combined with mobility support, these technologies present unique characteristics that must be addressed in distinct ways [2]. Based on statistical data, it is anticipated that the growth rate for mobility traffic consumers could surpass that of conventional datapackets [3], and the proliferation of network devices necessitating constant and widespread accessibility is experiencing a significant surge. Communication networks necessitate the incorporation of dynamic mobility. The Transmission Control Protocol over Internet Protocol (TCP/IP) protocol is a networking architecture that operates in a persistent session, increasing network latency during mobility events for reconnection requests to be sent for each interruption in a mobility scenario. Table 1 presents the comparison between traditional Internet Protocol (IP) networking with NDN. Note that NDN's content-centric strategy enhances content retrieval efficiency by eliminating the requirement for specific host addresses. Consumers indicate interest in the material by name, allowing for detailed and adaptable data retrieval. Hence, in-network caching and content-based routing in NDN effectively enhance bandwidth utilization. The intrinsic caching mechanism eliminates duplication and enhances overall efficacy in content dissemination. Consequently, the scalability and adaptability of NDN are enhanced by its adaptive routing and forwarding mechanisms, as well as its utilization of content-based naming. The network adapts to fluctuating circumstances, optimizing the distribution of material and incorporating content signing and verification, making security an intrinsic feature. Therefore, trustworthiness is achieved using content-centric authentication, which offers a more resilient security framework than TCP/IP. The NDN architecture handles the issue of producer mobility by continuously updating routing tables, making it particularly suitable for situations where content producers relocate inside the network. This is a notable improvement compared to TCP/IP, which might necessitate further techniques to ensure that effective content retrieval in mobile situations smoothly integrates with edge computing by facilitating the proximity of computation to the data source. Subsequently, this is accomplished by obtaining and analyzing data locally, decreasing the need for centralized data centers, and facilitating Quality of Service by allowing for the distribution of content in a prioritized manner according to