PI环境下考虑保鲜努力的冷链产品生产-库存-运输联合优化模型与求解

doi:10.16381/j.cnki.issn1003-207x.2022.1949

Abstract

Abstract:

Due to the lack of collaboration and interconnections between firms， the cost and wastage are usually quite high in traditional cold chain logistics. The advent of Physical Internet has motivated us to explore the potential value of the integrated production-inventory-transportation optimization problem for cold chain products. Consequently， the production-inventory-transportation joint optimization problem considering cold chain products in Physical Internet is proposed. Considering the characteristics of perishable cold chain products and high logistics costs， the freshness-keeping efforts and the decay of freshness are integrated to the production-inventory-transportation model in Physical Internet. The relevant mixed integer linear programming model is constructed to quantify the advantage of Physical Internet. Improved particle swarm optimization is designed to solve the model. Moreover， the validity and accuracy of model and algorithm are verified by computational experiments about production-inventory-transportation system of Shenyang Northeast Cold Fresh Port. The influence of different parameters on preservation effort cost and freshness attenuation is obtained via sensitivity analysis， which can provide scientific decision-making reference for enterprise operation and management.

Key words: Physical Internet, freshness-keeping effort, freshness decay, production-inventory-transport joint optimization, improved partial swarm optimization algorithm

CLC Number:

C931

Shoufeng Ji, Hongyu Liu, Lijie Wang, Yuanyuan Ji. Joint Optimization Model and Algorithm of Cold Chain Product Production-inventory-transportation Considering Freshness-keeping Effort in the Physical Internet[J]. Chinese Journal of Management Science, 2025, 33(8): 166-176.

Figures/Tables 16

温度(℃)	保鲜努力 $τ$
2	0.8
4	0.65
6	0.5
8	0.35
10	0.2

温度	保鲜努力 $τ$	绝对温度(K)	COP	冷却成本系数
2℃	0.8	275.15	11.96	1.58
4℃	0.65	277.15	13.20	1.43
6℃	0.5	279.15	14.69	1.29
8℃	0.35	281.15	16.54	1.14
10℃	0.2	283.15	18.88	1.00

保鲜努力 $τ$	保质期(天)	新鲜度 $θ$ 衰减量(%)
0.8	34	2.9
0.65	29	3.4
0.5	24	4.2
0.35	19	5.3
0.2	14	7.1

时间	运输路径	运输过程保鲜努力		工厂储存保鲜努力
时间	运输路径	工厂	PI枢纽	D1	D2
$ς = 1$	D1→H1→N2→N5→N9→N8	0.35	0.65	0.5	0.5
	D2→H2→N4→N6	0.5	0.65
	D1→H3→N3→N7→N12	0.5	0.35
	D1→H4→N10→N1→N11	0.65	0.35
$ς = 5$	D2→H1→N4→N1	0.8	0.8	0.5	0.5
	D1→H2→N11→N6→N7	0.8	0.8
	D2→H3→N9→N2→N12→N10	0.8	0.65
	D2→H4→N3→N8→N5	0.8	0.8
$ς = 10$	D1→H1→N12→N3→N7→N9	0.5	0.35	0.2	0.65
	D2→H2→N4→N5→N2	0.65	0.35
	D2→H3→N1→N11→N10	0.8	0.5
	D2→H4→N6→N8	0.65	0.65
$ς = 14$	D2→H1→N7→N12→N8	0.5	0.65	0.5	0.2
	D2→H2→N6→N4→N10	0.35	0.8
	D2→H3→N2→N1→N5→N11→N9	0.65	0.65
	D1→H4→N3	0.8	0.65

保鲜努力 $τ$	冷却成本系数
0.8	1.58
0.65	1.43
0.5	1.29
0.35	1.14
0.2	1.00

零售店	保鲜努力 $τ$
N1	0.48
N2	0.45
N3	0.41
N4	0.53
N5	0.46
N6	0.52
N7	0.43
N8	0.41
N9	0.46
N10	0.45
N11	0.43
N12	0.40

零售店	保鲜努力 $τ$
N1	0.60
N2	0.60
N3	0.46
N4	0.78
N5	0.62
N6	0.78
N7	0.45
N8	0.46
N9	0.64
N10	0.63
N11	0.79
N12	0.47

α

β

总经济成本(元)

0.04

0.06

0.08

0.1

0.12

0.14

0.15

194881.5708

208484.3045

221889.8453

235247.6140

248859.4952

263840.8365

β

α

总经济成本(元)

0.05

0.1

0.15

0.2

0.25

0.1

243152.9521

239850.8301

235247.6140

232649.1307

229057.0427

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Joint Optimization Model and Algorithm of Cold Chain Product Production-inventory-transportation Considering Freshness-keeping Effort in the Physical Internet

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