Optimal Assignment of Three Special Workers for Production Network System

Abstract

Abstract－In this paper, we focus on the property of the optimal assignment with minimized total expected risk (cost) in the limited-cycle model. First, the reset model, a simple model of the limited-cycle model, is presented. Then, the optimal assignment problem under the reset model is defined. After that, for the cases of three special worker groups, the conditions for the optimal assignment are proposed with a mathematical approach. Finally, the assignment optimization rules about untrained or well-trained workers are discussed by numerical analyses.