Inter-planetary network (IPN) systems on earth and spacecrafts communicate with systems on other planets. Communications and data are often relayed and delivered by the IPN systems. Delay/Disruption Tolerant Networking (DTN) have several unique characteristic features with significant challenges such as intermittent link connectivity, long and variable propagation delays, link bandwidth asymmetry, high link error rates and Power constraints. It is vital to overcome these challenges to achieve maximum flow for IPN systems. The aim of this project is to address the issue of achieving maximum flow in Inter-planetary network. To tackle these issues, a DTN model as time aggregated graph (TAG) was proposed and a bidirectional storage transfer series was used to correlate various time intervals and aid in maximizing flow. Our results suggest that the maximum flow can be achieved by seeking an augmenting path, computing its maximum flow, and getting its residual network using an iterative approach. In future, we intend to investigate the increase in difficulty of achieving maximum flow.