Quantity Discount Supply Chain Models with Fashion Products and Uncertain Yields

Table 4

Numerical results for all models (𝑚=0.15,𝑛=0.1,𝑙=0.3).

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	—	—	429.1	423.2	1.014	7519.6	12523.1	20042.7
C: centralized decision	—	—	438.7	438.7	1	—	—	20112.3
QD: quantity discount with the supplier as a dominant party	0.1	422.7	434.2	428.6	1.013	7589.2	12523.1	20112.3
	0.2	425.6	434.2	428.6	1.013	7589.2	12523.1	20112.3
	0.3	426.6	434.2	428.6	1.013	7589.2	12523.1	20112.3
	0.4	427.1	434.2	428.6	1.013	7589.2	12523.1	20112.3
QD: quantity discount with the manufacturer as a dominant party	0.1	403.6	434.6	430.5	1.01	7519.6	12592.7	20112.3
	0.2	416.2	434.6	430.5	1.01	7519.6	12592.7	20112.3
	0.3	420.7	434.6	430.5	1.01	7519.6	12592.7	20112.3
	0.4	423.1	434.6	430.5	1.01	7519.6	12592.7	20112.3