关键词: 双资源柔性作业车间, 工人数量, 成本, 车间调度, 教学优化算法

Abstract: Under the background of the shortage of workers and the increasing of workers costs， it was very important to complete the manufacturing tasks with a reasonable allocation scheme of the number of workers.  Previous studies of flexible job-shop scheduling considering worker constraints assumed that the number of workers was given.  In order to optimize the number allocation of workers with different technical levels and flexible job-shop scheduling in an integrated way， considering the penalty cost， worker base cost and performance cost， a mixed integer programming model was established to minimize the total cost， and an improved TLBO algorithm was proposed to solve the problems.  In the algorithm， an activity scheduling decoding method was designed based on the three-layer coding of worker number allocation， operation sequencing and machine selection.  A hybrid heuristic initialization method was used for initialization. An effective neighborhood structure was designed for the problem features.  The tests of several groups of examples were verified that the proposed algorithm may determine the actual number of workers with different technical levels and obtain the excellent scheduling scheme， and is superior to the comparison algorithms in performance. 

Key words:  , dual resource constrained flexible job-shop, number of worker, cost, shop scheduling, teaching-learning-based optimization（TLBO） algorithm