Under the present invention, a stability and updateability (SUP) ratio for a grid computing environment is generated. Thereafter, a size of a set (e.g., at least one) of scale free graphs for the grid computing environment is estimated. Then, based on at least one predetermined parameter such as a quantity of nodes in the grid computing environment, the set of scale free graphs is actually generated. Based on the set of scale free graphs a set of perturbed scale free graphs is generated. In one example, this may be accomplished using a preferential rewiring technique. This process is repeated for each of the monitoring and discovery services, which will yield at least two sets of perturbed scale free graphs. Using these sets of graphs, a set of monitoring and discovery service (MDS) topology graphs for the grid computing environment will be generated and deployed for optimization.