Optimizing the Joint Replenishment and Channel Coordination Problem under Supply Chain Environment Using a Simple and Effective Differential Evolution Algorithm

Table 1

Four benchmark functions.

Test functions	DL	Arr	𝑓min
𝑓1(𝑥)=^𝐿𝑙=1𝑥𝑙+^𝐿𝑙=1𝑥𝑙	10	[−10,10]^𝐿	0
𝑓2(𝑥)=^𝐿𝑙=1𝑥𝑙+0.5^2	30	[−100,100]^𝐿	0
𝑓3(𝑥)=^𝐿𝑙=1−𝑥𝑙sin𝑥𝑙	30	[−500,500]^𝐿	−12569.5
𝑓4(𝑥)=−20exp−0.2∑^𝐿𝑙=1𝑥^2𝑙𝐿1−exp𝐿^𝐿𝑙=1cos2𝜋𝑥𝑙+20+𝑒	10	[−32,32]^𝐿	0

DL denotes the dimensionality of the test problem, Arr denotes the ranges of the variables, and 𝑓_min is a function value of the global optimum.