A Study on the Optimal Assignment Rule in Parallel Production Systems with Continuous Target Variable of Processing Time

Abstract

It is possible that workers' error, variation of processing time, lack of parts and machine failure will affect the delivery date of each production process. The consecutive delay in the process can lead to the postponing of manufacturing production. By optimizing the workers' assignments, it is possible to achieve the delivery date of the product and reduce the total expected cost of the product. This study takes a parallel production line as an example and considers the problem of optimal assignment of workers to each process when the target processing time follows a continuous distribution to minimize the total expected cost.