In optimized container management system, a booking request with customer locations, booking time, container type, movement mode, depot locations and depot locations stock information are received as input in a solver in a container management system received in a container management system. Based on the movement mode of booking request received by customer, solver algorithm is invoked to build a bipartite graph. A bipartite graph with nodes representing customer locations and depot locations are generated, based on the movement mode. Edges between the customer locations and the depot locations are generated based on a container balancing criteria of a solver algorithm. For remaining booking request, edges between the customer locations and the depot locations are generated based on a cost minimization criteria of the solver algorithm. The depot locations are assigned to the corresponding customer locations based on satisfying the container balancing criteria and the cost minimization criteria.