Hi, instead of modifying the mutation rule it would be better in a first step to generate a larger initial population. Indeed, the new mutation rule will be adapted to a particular problem only.

Reformulate the requirements based on the data on the issue, using the concept of software engineering

there are also certain characteristics in my problem that i want to exploit

When I use an evolutionary algorithm with several ending criteria (e.g., number of generations, proximity to the best solutions), I normally, accept bad individuals in order to go ahead any minimum local situation. The exploration demands multiverse values and a very good random initial population.

also can applying hybridization with another AI algorithm to get best solutions