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A Stackelberg Solution to Joint Optimization Problems: A Case Study of Green Design
Author(s) -
Yitao Liu,
Yangjian Ji,
Jianxin Jiao
Publication year - 2013
Publication title -
procedia computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.334
H-Index - 76
ISSN - 1877-0509
DOI - 10.1016/j.procs.2013.01.035
Subject(s) - computer science , stackelberg competition , joint (building) , mathematical optimization , optimization problem , operations research , algorithm , mathematical economics , architectural engineering , mathematics , engineering
Design of complex engineered systems often involves optimization of multiple competing problems that are supposed to compromise to arrive at equilibrium optima, entailing a joint optimization problem. This paper reveals the leader-follower decision structure inherent in joint optimization problems. A Stackelberg game solution is formulated to model a leader-follower joint optimization problem as a two-level optimization problem between two decision makers, implicating a mathematical program that contains sub-optimization problems as its constraints. A case study of coffee grinder green design demonstrates the potential of Stackelberg solution to joint optimization of modularity subject with conflicting goals

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