Ant Colony Optimization algorithm is one among the best optimization algorithm for Non deterministic polynomial-hard problems like maximum power for agitation and minimum of just suspension speed problems. The objective of this research is to satisfy the maximum power of Mechanical stirrer vessel equipment in mixing of solid and liquid phases with reference to solid particle diameter, jacketed vessel diameter and height, density of the slurry by varying the weight percentage. This effects the Zwietering's mass ratio, Kinematic viscosity of slurry, Reynolds's number and Froude number which varies the Zwietering's constant value, impeller diameter and just suspension speed for uniform distribution which should be less than the impeller speed. The developed algorithm had been justified with standard mathematical functions and found satisfactory in above stated problems, sensitivity analysis also conducted. Finally, it has been concluded that the developed algorithm solves the problem in less computation time efficiently.