Carbon capture and storage (CCS) is one of the technologies to reduce greenhouse gas emissions (GHG) to capture of CO 2 from the flue gas of a power plant that typically use coal as a Source of energy and then store it in a suitable geological storage (in specific locations). In practice, these sites may not be readily available for storage at the same time that the Sources (GHG producing) are operating which gives rise to multi -period planning problems. This study presents a mathematical approach by considering constraints limit flowrate received by Sink, various time availability of Sink and Source and calculation with the purpose to determine the minimum cost network which is getting the maximum load that is exchanged from Source to Sink. Illustrative case studies are given to demonstrate the application of mathematical models to obtained with the exact result of the exchange network from Source to Sink. Derived from network obtained from the calculation of the Maximum Load Source to Sink and results may vary in accordance with the limitations that exist in the mathematical model. The case study has been prepared with 2 cases, first 6 Source and 3 Sink with value of Source Load is greater than the amount available on the Sink. Also, second case is 2 Source and 5 Sink with value of Source Load is smaller than the amount available on the Sink. In addition, Case Studies to minimize the cost of pipeline construction and distribution of CO 2 by plant and storage location determination in Java. Flowrate restriction factor that goes into Sink, Source and Sink establishment time and cost are taken into account can affect the networks that can be exchanged from the Source to the Sink.