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

Sustainable multi-commodity capacitated facility location problem with complementarity demand functions
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具有互补需求函数的可持续多商品能力设施选址问题

DOI:
10.1016/j.tre.2020.102165
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发表时间:
2021
期刊:
Transportation Research Part E
影响因子:
--
通讯作者:
Lingling Zhang
Lingling Zhang
中科院分区:
其他
文献类型:
--
作者:
Weiwei Liu;Nan Kong;Mingzheng Wang;Lingling Zhang

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我们研究了一个涉及可持续性问题的多商品容量限制设施选址问题(例如,限制碳排放)。此外,这个问题还包含了互补需求函数。我们表明,这种结合可以导致上级决策分析和计算。所得的公式是一个0-1混合整数非凹二次规划的平衡约束。我们采用分段线性包络方法将该公式转化为一个0-1混合整数凹规划。然后,我们提出了一个有效的分支和细化算法的全局收敛性。数值算例验证了碳排放限额和碳交易对公司决策的影响。
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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