A Strategy to Strengthen and Enhance the Telecommunication Network in Sri Lanka by Using Concepts of Graph Theory and Linear Programming Models

The telecommunication sector in Sri Lanka is one of the most dynamic sectors, contributing significantly, both directly and indirectly, to investment, employment, productivity, and overall economic growth. According to the transformation of the telecommunication network of Sri Lanka, this study proposes a structure to increase the average upload and download speeds by using some concepts in pure Mathematics. The research design has aligned into two categories as interpretation and optimization. They established by using the concept of Graph Theory and linear programming models respective. We forecast the public switched telephone network (PSTN) model for the local network. Then we ranked carrier systems of Sri Lanka according to their services without violating privacy. Next, we created the minimum traffic flow, local model, based on the traffic flows. Then we proposed cable systems around Sri Lanka. After that, we calculated the required signal towers for the uniform coverage by considering the population density. Linear programming models had generated to optimize the traffic flows. We could obtain six hundred twenty-five linear programming models due to different coefficients in each case. So, we have separated those models into three sectors: low, moderate, and high. Three examples had discussed by considering them. The solutions had evaluated by using the PHP Simplex calculator.