Research Article

Optimal Ordering Policy and Coordination Mechanism of a Supply Chain with Controllable Lead-Time-Dependent Demand Forecast

Table 2

The optimal solution to Model (I) and (II) with different values of 𝛿 .

𝛿 Decentralized decision-making modelCentralized decision-making model Δ 𝑙
Model (I)Model (II)
Optimal solutionProfit allocationOptimal solutionProfit allocation
𝑡 𝐷 𝑞 𝐷 Π 𝑟 ( 𝑞 𝐷 , 𝑡 𝐷 ) Π 𝑚 Π 𝑙 ( 𝑞 𝐷 , 𝑡 𝐷 ) 𝑡 𝐶 𝑞 𝐶 Π 𝑟 ( 𝑞 𝐼 , 𝑡 𝐼 ) Π 𝑚 Π 𝑙 ( 𝑞 𝐼 , 𝑡 𝐼 )

0.10120.002057.6182601028828548120.002306.4175701153229103555
0.50122.582058.0181341029028424144.002328.5173631164329006582
1.00144.002061.7180371030928345164.002348.2172231174128964619
2.00164.002065.4179551032728282180.002364.7171061182428929647
5.00180.002068.5178671034328210200.002386.6169751193328908698
6.00185.152069.6178471034828195200.002386.6169751193328908713
8.00200.002072.6178451036328208200.002386.6169751193328908700
10.00200.002072.6178451036328208200.002386.6169751193328908700