Order acceptance and scheduling on two identical parallel machines

Xiuli Wang, Guodong Huang, Xiuwu Hu and T C Edwin Cheng
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Xiuli Wang: Nanjing University of Science and Technology, Nanjing, People’s Republic of China
Guodong Huang: Nanjing University of Science and Technology, Nanjing, People’s Republic of China
Xiuwu Hu: Nanjing University of Science and Technology, Nanjing, People’s Republic of China
T C Edwin Cheng: The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

Journal of the Operational Research Society, 2015, vol. 66, issue 10, 1755-1767

Abstract: We study the order acceptance and scheduling problem on two identical parallel machines. At the beginning of the planning horizon, a firm receives a set of customer orders, each of which has a revenue value, processing time, due date, and tardiness weight. The firm needs to select orders to accept and schedule the accepted orders on two identical parallel machines so as to maximize the total profit. The problem is intractable, so we develop two heuristics and an exact algorithm based on some optimal properties and the Lagrangian relaxation technique. We evaluate the performance of the proposed solution methods via computational experiments. The computational results show that the heuristics are efficient and effective in approximately solving large-sized instances of the problem, while the exact algorithm can only solve small-sized instances.

Date: 2015
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