Ant Colony Optimization (ACO) is a very popular
metaheuristic for solving computationally hard combinatorial
optimization problems. Runtime analysis of ACO with respect
to various pseudo-boolean functions and different graph based
combinatorial optimization problems has been taken up in recent
years. In this paper, we investigate the runtime behavior of an
MMAS*(Max-Min Ant System) ACO algorithm on some well
known hypergraph covering problems that are NP-Hard. In
particular, we have addressed the Minimum Edge Cover problem,
the Minimum Vertex Cover problem and the Maximum Weak-
Independent Set problem. The influence of pheromone values
and heuristic information on the running time is analysed. The
results indicate that the heuristic information has greater impact
towards improving the expected optimization time as compared
to pheromone values. For certain instances of hypergraphs, we
show that the MMAS* algorithm gives a constant order expected
optimization time when the dominance of heuristic information
is suitably increased.