TY - GEN
T1 - A successive Lagrangian relaxation method for solving flowshop scheduling problems with total weighted tardiness
AU - Nishi, Tatsushi
AU - Hiranaka, Yuichiro
AU - Inuiguchi, Masahiro
PY - 2007
Y1 - 2007
N2 - Lagrangian relaxation technique has been used for solving a wide variety of scheduling problems to obtain near optimal solutions. The approach has been successfully applied to jobshop scheduling problems by relaxing the capacity constraints on machines by using Lagrange multipliers. The relaxed problem can be decomposed into independent job-level subproblems which can be solved by dynamic programming. By extending the technique, in this paper, we propose a successive Lagrangian relaxation method for solving flowshop scheduling problems with total weighted tardiness. In the proposed method, the quality of lower bound is improved by successively solving the Lagrangian dual problem embedding cuts into the Lagrangian relaxation problem. The state space reduction for dynamic programming is also incorporated. The effectiveness of the proposed method is demonstrated from numerical experiments.
AB - Lagrangian relaxation technique has been used for solving a wide variety of scheduling problems to obtain near optimal solutions. The approach has been successfully applied to jobshop scheduling problems by relaxing the capacity constraints on machines by using Lagrange multipliers. The relaxed problem can be decomposed into independent job-level subproblems which can be solved by dynamic programming. By extending the technique, in this paper, we propose a successive Lagrangian relaxation method for solving flowshop scheduling problems with total weighted tardiness. In the proposed method, the quality of lower bound is improved by successively solving the Lagrangian dual problem embedding cuts into the Lagrangian relaxation problem. The state space reduction for dynamic programming is also incorporated. The effectiveness of the proposed method is demonstrated from numerical experiments.
UR - http://www.scopus.com/inward/record.url?scp=44449126736&partnerID=8YFLogxK
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U2 - 10.1109/COASE.2007.4341703
DO - 10.1109/COASE.2007.4341703
M3 - Conference contribution
AN - SCOPUS:44449126736
SN - 1424411548
SN - 9781424411542
T3 - Proceedings of the 3rd IEEE International Conference on Automation Science and Engineering, IEEE CASE 2007
SP - 875
EP - 880
BT - Proceedings of the 3rd IEEE International Conference on Automation Science and Engineering, IEEE CASE 2007
T2 - 3rd IEEE International Conference on Automation Science and Engineering, IEEE CASE 2007
Y2 - 22 September 2007 through 25 September 2007
ER -