再制造物流网络优化设计的扩展模型

马祖军; 代颖

再制造物流网络优化设计的扩展模型

马祖军^1,,
代颖²

1.
西南交通大学物流学院, 四川成都 610031
2.
西南交通大学经济管理学院, 四川成都 610031

基金项目:

国家自然科学基金项目 70502025

四川省哲学社会科学研究规划项目 SC06C007

西南交通大学基础科学研究基金项目 2005801

详细信息

作者简介:
马祖军(1974-), 男, 浙江开化人, 西南交通大学教授, 管理学博士, 从事物流系统优化与管理研究

中图分类号: F252
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- 被引次数: 0
出版历程
- 收稿日期: 2006-12-10
- 刊出日期: 2007-06-25

Extended model for optimal design of remanufacturing logistics network

Ma Zu-jun^1
,,
Dai Ying²

1.
School of Logistics, Southwest Jiaotong University, Chengdu 610031, Sichuan, China
2.
School of Economics and Management, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

More Information

Author Bio:
Ma Zu-jun(1974-), male, DM, professor, +86-28-87600248, zjma@home.swjtu.edu.cn

摘要

摘要: 针对再制造物流网络与传统生产分销物流网络的集成优化设计问题, 综合考虑网络中正向和逆向物流的设施集成与运输整合, 以及设施建设成本的规模经济效应, 基于混合整数非线性规划方法, 建立了一种再制造物流网络优化设计的扩展模型, 用来确定网络中各种设施的数量、位置及规模, 并在由此构成的各条物流路径上合理分配物流量, 使运营周期内的净收益最大。最后, 通过一个算例对模型进行了数值演算和验证。计算结果表明: 该模型能根据物流网络的实际调查数据, 得到网络的最优目标函数与决策变量值, 能有效辅助再制造物流网络优化设计。
- 物流工程 /
- 再制造物流网络 /
- 优化设计 /
- 扩展模型
Abstract: The problem on designing an appropriate integrated logistics network structure for hybrid manufacturing/remanufacturing systems was investigated, the integration of various facilities and combined transportation of forward and reverse logistics in the network was considered, the impact of scale economics on the cost of establishing those facilities was studied, an extended model for the optimal design of remanufacturing logistics network was developed based on mixed integer nonlinear programming approach. According to the model, the numbers, locations and capacities of various facilities and the allocation of corresponding goods flows in the network were ascertained, the objective was to maximize the net revenue in operation period.Finally, the model was tested and verified by a numerical example. Computation result shows that the optimal objective function and decision-making variables of the net can be gained by using the model, and logistics network and the model can be used to assist the decision-making of the network design.
- logistics engineering /
- remanufacturing logistics network /
- optimal design /
- extended model

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图 1 集成物流网络结构

Figure 1. Network structure of integrated logistics

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表 1 消费区域k的有关数据

Table 1. Relative data of consumption region k

k	1	2	3	4	5	6
坐标/(km, km)	(26, 30)	(12, 235)	(53, 260)	(209, 32)	(235, 52)	(262, 260)
d_k/件	190	210	270	220	250	300
r_k/件	170	180	230	200	210	260
c $_{k}^{s p}$ ^/元	8 180	8 150	8 060	8 120	8 200	8 100
c_k^co/元	880	850	760	820	900	800

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表 2 备选工厂i的有关数据

Table 2. Relative data of alternative plant i

i	1	2	3
坐标/(km, km)	(53, 148)	(268, 34)	(132, 188)
f_i^p/万元	120	160	130
v_i^p/元	1 000	850	870
α_i	0.80	0.50	0.65
A_i^p/件	780	920	840
c_i^pn/元	3 500	3 400	3 450
c_i^pr/元	1 800	1 700	1 750

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表 3 备选分销中心j的有关数据

Table 3. Relative data of alternative distribution center j

j	1	2	3	4
坐标/(km, km)	(58, 40)	(47, 25)	(213, 71)	(242, 165)
f_j^w/万元	18	14	17	15
v_j^w/元	150	190	170	180
β_j	0.75	0.60	0.80	0.70
A_j^w/件	600	500	580	550
c_j^wp/元	105	120	110	115

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表 4 备选回收中心l的有关数据

Table 4. Relative data of alternative return center l

l	1	2	3
坐标/(km, km)	(58, 40)	(47, 25)	(106, 184)
f_l^t/万元	17	16	17
v_l^t/元	220	230	215
γ_l	0.70	0.60	0.55
A_l^t/件	450	430	460
c_l^tp/元	160	165	155

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表 5 其他处理点m的有关数据

Table 5. Relative data of other disposal site m

m	1	2
坐标/(km, km)	(78, 135)	(146, 254)
A_m^d/件	400	350
c_m^d	55	60

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表 6 决策变量的最优值

Table 6. Optimal values for decision-making variables

y₂^p	a₂^p	x₂₁^pw	x₂₂^pw	x₂₃^pw	y₃^p	a₃^p	x₃₁^pw	x₃₂^pw	y₁^w	a₁^w	x₁₂^wz	x₁₃^wz	x₁₄^wz	y₂^w	a₂^w	x₂₁^wz	x₂₄^wz	y₃^w	a₃^w	x₃₄^wz	x₃₅^wz	x₃₆^wz	y₁^t	a₁^t	x₂₁^zt	x₃₁^zt	x₄₁^zt
1	920	108	232	580	1	520	492	28	1	600	210	270	120	1	260	190	70	1	580	30	250	300	1	360	180	30	120

x₅₁^zt	x₁₃^tp	x₁₁^td	y₂^t	a₂^t	x $_{12}^{z t}$	₄₂^xzt	x₅₂^zt	x₂₂^tp	x₂₃^tp	x₂₁^td	y₃^t	a₃^t	x₃₃^zt	x₆₃^zt	x₃₃^tp	x₃₁^td	x₃₂^td	y₁^s	x₂₁^zs	x₃₁^zs	x₄₁^zs	x₁₃^sp	y₂^s	x₁₂^zs	x₄₂^zs	x₂₂^sp	x₂₃^sp
30	216	144	1	430	170	80	180	230	28	172	1	460	200	260	276	84	100	1	180	30	120	216	1	170	70	230	28

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参考文献(13)

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