Optimal Scheduling Algorithm for Minimizing the Quadratic Penalty Function of Completion Times

작업 완료시간의 2차벌과금함수를 최소화하는 알고리즘에 관한 연구

This paper deals with a single machine scheduling problem with a quadratic penalty function of completion times. The objective is to find a optimal sequence which minimizes the total penalty. A new type of node elimination procedure and precedence relation is developed that determines the ordering between adjacent jobs and is incorporated into a branch and bound algorithm. In addition, modified penalty function is considered and numerical examples are provided to test the effectiveness of the optimum algorithm.