Quantity Discount Supply Chain Models with Fashion Products and Uncertain Yields

Table 3

Numerical results for all models (𝑚=0.2,𝑛=0.2,𝑙=0.2).

Model	Quantity discount parameters		Decision making for production and order			Expected profit
	𝛼	𝑞^∗	𝑞0	𝑞1	𝑞0/𝑞1	𝐸(𝜋1)	𝐸(𝜋2)	𝐸(𝜋0)
U: independent and noncoordinated decision	—	—	434.5	429.3	1.012	7108.5	14100.7	21209.3
C: centralized decision	—	—	453.7	453.7	1	—	—	21654.2
QD: quantity discount with the supplier as a dominant party	0.1	412.5	459.2	455.8	1.007	7553.5	14100.7	21654.2
	0.2	433.0	459.0	455.8	1.007	7553.5	14100.7	21654.2
	0.3	443.3	451.5	446.0	1.012	7553.5	14100.7	21654.2
	0.4	444.0	451.5	446.0	1.012	7553.5	14100.7	21654.2
QD: quantity discount with the manufacturer as a dominant party	0.1	351.7	453.4	453.4	1	7186.9	14467.3	21654.2
	0.2	405.8	453.3	453.2	1	7275.9	14378.3	21654.2
	0.3	422.2	453.2	453.1	1	7300.7	14353.5	21654.2
	0.4	430.2	453.2	453.1	1	7312.3	14341.9	21654.2