Game Theoretic Approaches to Parallel Machine Scheduling

Game Theoretic Approaches to Parallel Machine Scheduling

A bi-objective optimization problem viewed as a non-cooperative game of two players

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In a scheduling problem than considers identical machines, the job assignments can become pretty challenging, given that these jobs require the least time in their waiting line and at the same time, the total completion of the jobs need to finish as soon as possible. This is a why a bi-objective optimization problem is approached, where both makespan and total flow time need to be minimized. A mechanism proposed to solve this problem with a setting of a 2-player non-cooperative game, under tht framework of a 2x2 non-zero sum matrix; where each player aims for a different objective suggested in...