Sustainable multi-commodity capacitated facility location problem with complementarity demand functions

被引:13
|
作者
Liu, Weiwei [1 ]
Kong, Nan [2 ]
Wang, Mingzheng [3 ]
Zhang, Lingling [1 ]
机构
[1] Dalian Univ Technol, Sch Econ & Management, Dalian 116024, Peoples R China
[2] Purdue Univ, Weldon Sch Biomed Engn, W Lafayette, IN 47907 USA
[3] Zhejiang Univ, Sch Management, Hangzhou 310058, Peoples R China
基金
中国国家自然科学基金; 美国国家科学基金会;
关键词
Facility location; Multi-commodity; Carbon emission; Complementarity demand function; Mixed-integer quadratic program; MIXED-INTEGER MODELS; MULTIPRODUCT PRICE; BOUND ALGORITHM; NETWORK DESIGN; INVENTORY; GREEN; COMPETITION;
D O I
10.1016/j.tre.2020.102165
中图分类号
F [经济];
学科分类号
02 ;
摘要
We investigate a multi-commodity capacitated facility location problem involving sustainability concerns (e.g., restrained carbon emission). In addition, this problem incorporates a complementarity demand function. We show that this incorporation can lead to superior decisions both analytically and computationally. The resultant formulation is a 0-1 mixed-integer non-concave quadratic program with equilibrium constraints. We adopt the piecewise-linear envelope method to transform the formulation into a 0-1 mixed-integer concave program. We then propose an efficient branch-and-refine algorithm with global convergence. Numerical examples demonstrate the effect of carbon emission limit and carbon trading on company decisions.
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页数:19
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