The GIPSY system provides a framework for a distributed multi-tier demand-driven evaluation of heterogeneous programs, in which certain tiers can generate demands, while others can respond to demands to work on them. They are connected through a virtual network that can be flexibly reconfigured at run-time. Although the demand generator components were originally designed specifically for the eductive (demand-driven) evaluation of Lucid intensional programs, the GIPSY's run-time's flexible framework design enables it to perform the execution of various kinds of programs that can be evaluated using the demand-driven computational model. Management of the GISPY networks has become a tedious (although scripted) task that took manual command-line console to do, which does not scale for large experiments. Therefore a new component has been designed and developed to allow users to represent, visualize, and interactively create, configure and seamlessly manage such a network as a graph. Consequently, this work presents a Graphical GMT Manager, an interactive graph-based assistant component for the GIPSY network creation and configuration management. Besides allowing the management of the nodes and tiers (mapped to hosts where store, workers, and generators reside), it lets the user to visually control the network parameters and the interconnection between computational nodes at run-time. In this paper we motivate and present the key features of this newly implemented graph-based component. We give the graph representation details, mapping of the graph nodes to tiers, tier groups, and specific commands. We provide the requirements and design specification of the tool and its implementation. Then we detail and discuss some experimental results.