﻿ 基于需求和缺货预测改进的补货-服务水平组合策略优化 Optimizing of Service-Replenishment Policies Based on Improved Forecast Accuracy of Demand and Under-Stocking on Cooperation

Service Science and Management
Vol. 07  No. 06 ( 2018 ), Article ID: 27353 , 5 pages
10.12677/SSEM.2018.76019

Optimizing of Service-Replenishment Policies Based on Improved Forecast Accuracy of Demand and Under-Stocking on Cooperation

Xiusen Li*, Yuejun Pan, Xiaoyi Wang

School of Mathematics and Statistics, Shandong University of Technology, Zibo Shandong

Received: Oct. 12th, 2018; accepted: Oct. 24th, 2018; published: Oct. 31st, 2018

ABSTRACT

Joint strategy of service-replenishment policy based on cooperation and cost sharing between vendor and retailer, is analyzed for typical products as single period, perishable, imperishable and seasonal product. Service-replenishment policy is proposed for each typical product. An improved-forward with changing cycle service-replenishment policy based on improved forecast accuracy of demand and under-stocking is also proposed for imperishable and seasonal product. With increased accuracy of cost of under-stocking accounting, according to the real under-stocking hurt, this policy will also increase both the optimal degree and actual operation. The conclusion is that: joint strategy of service-replenishment policy optimization keeps higher and stable service level, and then, incurs higher and stable replenishment lot size as a result, which will help to harmonize the operation and cooperation of the two parts in reality.

Keywords:Supply Chain, Cycle Service Level (Product Availability), Service-Replenishment Policy, Improved-Forward with Changing Cycle

1. 引言

2. 单周期产品

(一) 合作模式下的最优服务水平

$CS{L}^{*}=\frac{{C}_{u}}{{C}_{u}+{C}_{o}}$ (1)

$CS{L}^{*}=\frac{p-c-1/2mh}{p-c-1/2mh+\gamma \left(c-s\right)+\beta mh}$ (2)

(二) 合作模式下的补货-服务组合策略

$\pi \left(Q\right)={\int }_{Q}^{\infty }Q{C}_{u}{f}_{m}\left(mx\right)\text{d}\left(mx\right)+{\int }_{0}^{Q}\left[mx{C}_{u}-\left(Q-mx\right){C}_{o}\right]{f}_{m}\left(mx\right)\text{d}\left(mx\right)$ (3)

3. 易腐产品

4. 耐腐产品

$CS{L}_{1}^{*}=\frac{p-c-1/2mh}{p-c-1/2mh+\beta mh}$ (4)

0 < α12 < 1,α12 = 1 ，此时 ${C}_{u}=p-c-\left(\frac{1}{2}{\alpha }_{1}hL+\frac{1}{2}{\alpha }_{2}hm\right)$ 。而且随着销售向前推进，实时核算不同阶

$CS{L}_{i}^{*}=\frac{p-c-\left(\frac{1}{2}{\alpha }_{1}hL+\frac{1}{2}{\alpha }_{2}hm\right)}{p-c-\left(\frac{1}{2}{\alpha }_{1}hL+\frac{1}{2}{\alpha }_{2}hm\right)+\beta mh}$ (5)

5. 季节性产品

${C}_{u}=p-c-\left(\frac{1}{2}{\alpha }_{3}hL+\frac{1}{2}{\alpha }_{4}hk\right)$，( $0<{\alpha }_{3},{\alpha }_{4}<1,{\alpha }_{3}+{\alpha }_{4}=1$ )。最后一周期最优服务水平满足： $CS{L}_{n}^{*}=\text{Prob}\left\{\left(L+k\right){x}_{n}\le {Q}_{n}^{*}+{Q}_{n}^{0}\right\}$，即：

$CS{L}_{n}^{*}=\frac{p-c-\left(\frac{1}{2}{\alpha }_{3}hL+\frac{1}{2}{\alpha }_{4}hk\right)}{p-c-\left(\frac{1}{2}{\alpha }_{3}hL+\frac{1}{2}{\alpha }_{4}hk\right)+\gamma \left(c-s\right)+\beta kh}$ (6)

6. 结论

Optimizing of Service-Replenishment Policies Based on Improved Forecast Accuracy of Demand and Under-Stocking on Cooperation[J]. 服务科学和管理, 2018, 07(06): 157-161. https://doi.org/10.12677/SSEM.2018.76019

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9. NOTES

*通讯作者。