Dynamic Slope Scaling Procedure and Lagrangian Relaxation with Subproblem Approximation

2006 ◽  
Vol 35 (1) ◽  
pp. 121-130 ◽  
Author(s):  
Siriphong Lawphongpanich
Keyword(s):  
Lagrangian Relaxation ◽  
Scaling Procedure ◽  
Dynamic Slope Scaling ◽  
Dynamic Slope Scaling Procedure

Inventory-Transportation Integrated Optimization Problem in Many-to-Many Distribution Network

2012 ◽  
Vol 178-181 ◽  
pp. 1965-1969
Author(s):  
Ying Mei Pei ◽  
Chun Ming Ye ◽  
Li Hui Liu
Keyword(s):  
Inventory Control ◽  
Lagrangian Relaxation ◽  
Lagrange Multiplier ◽  
Optimization Problem ◽  
Distribution Network ◽  
Integrated Optimization ◽  
Scaling Procedure ◽  
Dynamic Slope Scaling ◽  
Transportation Scheduling ◽  
Dynamic Slope Scaling Procedure

In order to solve the Inventory-transportation Integrated Optimization problem (ITIO problem) in a distribution network consisting of many warehouses and many retailers, the Lagrange multiplier method, the scenario-based Dynamic Slope Scaling Procedure (DSSP) heuristics and the Lagrangian relaxation-based DSSP heuristics were applied to integrate the system of inventory control and transportation scheduling respectively and in proper sequence. The more efficient Lagrangian relaxation-based DSSP heuristics is found in solving the ITIO problem. And furthermore, the comparative experiments prove the heuristics can get the optimized results in less calculating time and the efficiency of this method is also proved in solving the ITIO problem in a many-to-many distribution network.

Lagrangian Relaxation Based Inter-Layer Signal Via Assignment for 3-D ICs

2009 ◽  
Vol E92-A (4) ◽  
pp. 1080-1087 ◽  
Author(s):  
Song CHEN ◽  
Liangwei GE ◽  
Mei-Fang CHIANG ◽  
Takeshi YOSHIMURA
Keyword(s):  
Lagrangian Relaxation

Opportunistic Lagrangian Relaxation for Joint Replacement Policy

2014 ◽  
Vol 39 (3) ◽  
pp. 263-271
Author(s):  
Guo-Yu TU ◽  
Peter B LUH ◽  
Qian-Chuan ZHAO
Keyword(s):  
Lagrangian Relaxation ◽  
Joint Replacement ◽  
Replacement Policy
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