四种碳约束下考虑提前期与供需关系的经销商最优交付策略

doi:10.16381/j.cnki.issn1003-207x.2020.2372

Abstract

Abstract:

In order to fuse carbon constraints into service supply chain decision， a Supply-Delivery problem is broken down into two sub-processes： retailers choose distributors according to their needs； the distributors receive the retailer's order to complete the delivery. In view of the above， four kinds of strategy model-periodicity， cumulativity， globality， and volatility-for distributors with different intensities of carbon constraints are constructed， so that carbon emissions from transport can comply with carbon-bound and the distributors pay the lowest cost. The results show that the periodic restraint strategy is the ideal state with the highest intensity； the cumulative restraint strategy and full-cycle one have some limited flexibility； the full cycle carbon restraint strategy will result in the decrease of the order quantity； the volatility carbon restraint strategy is more suitable for the distributors to respond to carbon restrict and so it is relatively better strategy. In addition， the relationship between the total amount of emissions and the number of deliveries under the four kinds of carbon constraints is analyzed through numerical experiments， and a detailed strategy plan is given.

Key words: four carbon constraints, lead time, demand-supply interactions, optimal delivery strategies, delivery time window

CLC Number:

C935

Tingting Ji,Shoufeng Ji,Yongkang Hu,Pengyun Zhao. Distributor Delivery Strategies considering Lead Time and Demand-Supply Interactions under Four Carbon Constraints[J]. Chinese Journal of Management Science, 2024, 32(3): 266-277.

Figures/Tables 15

参数	描述	数值
$A$	经销商市场范围(平方公里)	700
$?$	提前期(天)	1
$τ$	各门店时间值概率分布均值(元)	1500
$μ$	各门店时间值概率分布标准差(元)	1250

参数	描述	运输卡车类型
参数	描述	3吨	8吨	12吨
$W k$	卡车运重(千克)	1350	5500	8600
$J k$	固定成本(元)	2700	3500	6000
$v k$	可变成本(元/吨 $?$ 千米)	5.2	6.4	8.0
$e k$	运输模式k的单位产品容重的每千米碳排放量(克/千克·千米)	425	675	1250

参数	描述	产品(每箱)
参数	描述	纸巾	床上用品	礼品酒	剃须刀
$c ˉ p$	分销价格(元)	780	1500	4250	36000
$c p$	经销商采购价(元)	624	1200	3400	28800
$σ p$	各门店对产品的时间价值感知系数	1.0	1.1	1.45	1.65
$ρ$	产品包装密度(克/厘米³)	0.5	1.3	1.2	5.4
$ρ ˉ$	容重的临界密度(克/厘米³)	0.75
$w p$	单位质量(千克)	2.0	4.8	6.0	0.7
$w ˉ p$	每箱总容重(千克)	60	42	40	5

产品	纸巾	床上用品	礼品酒	剃须刀
系数 $θ$	0.005	0.006	0.007	0.008

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门店编号及名称	运输距离(千米)	产品种类
门店编号及名称	运输距离(千米)	纸巾	床上用品	礼品酒	剃须刀
1.龙庭店	19.9	0.79	0.89	0.74	0.82
2.常青花园店	19.0	0.74	0.74	0.63	0.71
3.金银湖店	23.1	0.68	0.83	0.75	0.78
4.吴家山店	25.8	0.71	0.81	0.76	0.769
5.天顺园店	21.1	0.78	0.76	0.85	0.62
6.百圣店	19.0	0.69	0.78	0.78	0.85
7.硚口汉西店	14.7	0.61	0.82	0.76	0.71
8.北湖店	13.6	0.63	0.88	0.88	0.83
9.建二商场店	18.2	0.75	0.93	0.78	0.89
10.锦绣龙城店	15.0	0.81	0.84	0.91	0.91
11.庙山店	20.2	0.90	0.69	0.82	0.78
12.江夏店	25.7	0.84	0.72	0.80	0.76
13.沌口店	21.2	0.78	0.83	0.74	0.73
14.友谊店	12.7	0.91	0.78	0.84	0.74
15.余家头店	14.8	0.76	0.63	0.87	0.72

最优交付策略
碳排放总量		4000千克
交付对象	7，8，10，14，15	1，2，6，9	3，4，5，11，12，13
交付时间窗	一三三五五六六日日二二四四五五六六日	一三三五五日日一一三三五五六六日	一四四六六一一四四六六日
交付次数	9	8	6
对应的运输模式	(7)83.83.8.83.833.83.833.8.8 (8)83.83.83.8.83.83.833.83.83 (10)8.83.8.83.8.833.8.833.83.8 (14)8.83.8.83.83.83.833.83.83 (15)83.83.8.833.8.83.833.83.8	(1)83.12.1283.83.83.12.8.12 (2)83.83.128.83.83.83.12.12 (6)83.12.128.12.83.12.83.83 (9)83.12.128.83.83.12.83.12	(3)1283.1283.12883.1288.128.83 (4)1283.1283.12883.1288.128.83 (5)1288.1283.12833.1288.128.83 (11)1283.1283.12883.1283.128.12 (12)1288.1288.12883.1288.128.12 (13)1283.1283.12833.1283.128.83
平均装载率（%）	82.27	81.36	80.41
总排放量	3694.525千克（占允许排放量87.36%）
交付成本	915724.8元
经销商纯利润	1045693.8元

碳排放总量			4000千克
交付对象	7，8，10	1，2，14，15	3，4，5，6，9	11，12，13
交付时间窗	一三三五五六六日日一一三三四四六六日	一三三五五六六日日二二四四六六日	一三三六六日日一一三三四四六六日	一四四六六一一四四六六日
交付次数	9	8	8	6
对应的运输模式	(7)83.83.8.83.8.8.83.83.83 (8)8.83.8.83.83.8.83.83.12 (10)83.8.8.83.8.83.83.83.12	(1)83.83.8.83.83.83.8.83 (2)83.83.83.8.83.83.8.83 (14)83.83.8.83.83.88.83.83 (15)8.83.83.8.83.8.83.83	(3)83.12.8.8.83.8.123.12 (4)83.12.83.8.8.83.12.12 (5)83.83.8.8.83.8.12.12 (6)83.12.83.8.8.83.83.83 (9)83.12.8.8.83.83.12.83	(11)883.128.128.123.12.83 (12)883.123.1283.128.123.833 (13)883.128.128.128.123.833
平均装载率（%）	86.52	87.79	88.67	85.33
总排放量	3,635.276千克（占允许排放量90.88%）
交付成本	890057.6元
经销商纯利润	1188600.2元

碳排放总量			4000千克
交付对象	7，8	1，2	3，10，14，15	4，5，6，9，11，12，13
交付时间窗	一三三四四五五日日二二四四五五六六日	一三三五五日日一一三三四四六六日	一三三六六日日二二四四六六日	一四四六六二二四四六六日
交付次数	9	8	7	6
对应运输模式	(7)83.8.8.833.83.8.83.83.83 (8)83.83.8.83.83.8.83.83.12	(1)83.8.8.83.83.83.8.83 (2)83.8.83.8.83.83.8.12	(3)83.12.8.8.83.8.123.12 (10)83.12.83.8.8.83.12.12 (14)12.83.8.8.83.8.12.12 (15)83.12.83.8.8.83.83.83	(4)128.128.128.123.128.12 (5)128.128.128.123.128.83 (6)1283.123.128.128.123.12 (9)128.128.1283.123.128.12 (11)128.128.128.123.12.83 (12)128.123.1283.128.123.833 (13)1283.128.128.128.123.833
平均装载率（%）	89.74	87.33	88.46	84.67
总排放量	3311.284千克（占允许排放量82.78%）
交付成本	798541.8元
经销商纯利润	1126313.6元

碳排放总量			4000千克
交付对象	7，8，10，14	1，2，4，5，6，11，15	3，9，12	13
交付时间窗	一三三五五六六日日一一三三四四六六日	一三三五五六六日日二二四四六六日	一三三六六日日二二四四六六日	一四四六六一一四四六六日
交付次数	9	8	7	6
对应运输模式	(7)83.88.8.83.8.83.8.88.12 (8)83.88.83.83.8.83.8.88.12 (10)83.123.83.12.8.12.8.88.12 (14)12.88.8.83.8.12.8.88.83	(1)83.12.8.12.83.8.12.12 (2)12.83.8.12.83.8.123.12 (4)83.12.83.83.12.8.123.83 (5)83.83.8.12.12.8.12.12 (6)12.83.83.12.83.83.12.83 (11)83.12.8.83.12.8.123.12 (15)12.83.83.12.12.8.123.83	(3)83.123.123.12.12.128.83 (9)12.128.12.123.12.128.12 (12)83.128.12.123.83.128.12	(13)128.123.1283.123.123.123
平均装载率（%）	92.67	94.33	96.74	95.53
总排放量	3938.784千克（占允许排放量98.47%）
交付成本	1048865.4元
经销商纯利润	1425669.3元

Distributor Delivery Strategies considering Lead Time and Demand-Supply Interactions under Four Carbon Constraints

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