The Interconnected Network or the Internet has revolutionized digital communications. It has expanded worldwide over the past four decades due to numerous features such as connectivity, transparency, hierarchy, and openness. Several drawbacks, including mobility, scalability, controllability, security,etc., have been presented due to continuous developments. Although several network paradigms exist to address such drawbacks, many issues still persist. This research proposed a future network paradigm that addresses multilevel security shortcomings. It suggested the following: (i) a two-router network-based cyber security architecture for multilevel data sharing; (ii) using a scheduler to deal with the multilevel transmitted packets scheduling problem; (iii) five algorithms for the studied difficult problem; and (iv) providing an experimental result to show the optimal results obtained by the developed algorithms and comparing it with algorithms in the literature. The experimental result shows that the random-grouped classification with shortest scheduling algorithm (RGS) performed the best at 37.7% with a gap of 0.03. This result proves the practicality of our approach in terms of two-machine scheduling problems.