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Marriage in Honey Bees Optimization (MBO) is a new optimization technique to simulate the social system. But the calculation process is complex and the speed is slow. The paper proposed a faster Marriage in Honey Bees Optimization (FMBO) algorithm with global convergence. By randomly initializing drones and restricting the condition of iteration, the computation process becomes easier and faster. The global convergence characteristic of FMBO is also proved by using the Markov Chain theory. Simulation is carried out with evaluation functions and comparing results are given among FMBO, MBO and Genetic Algorithm.