<p>This research paper focuses on advancing the system availability of computer network links by integrating dual Internet Service Providers (ISPs). The network architecture comprises three clients, a dual ISP setup, and a server arranged in a serial configuration. To model the network’s behavior and compute its long-term availability, the study employs differential-difference equations. Through a series of numerical experiments, the research presents comprehensive data in tables and graphs, elucidating the influence of various system parameters on the enhancement of availability. The core methodology involves leveraging optimization techniques such as the genetic algorithm, brute force method, and Markov analysis to fine-tune the availability of the system. These methodologies are applied to explore and analyze the intricate dynamics of the network, seeking optimal configurations that maximize system availability. The results of these analyses are systematically presented, offering valuable insights into the impact of different approaches on the overall performance of the network. The numerical experiments and optimization techniques collectively underscore the effectiveness of incorporating dual ISPs in the network architecture. By strategically integrating redundancy through dual ISP connections, the study demonstrates a tangible improvement in system availability. The findings highlight the resilience and robustness achieved by introducing dual ISPs, ultimately leading to a more reliable and continuously available network infrastructure.</p>