Development of a Nonlinear Integer Optimization Model for Tenant Mix Layout in a Shopping Centre

Table 4

Matching principle of level and retail type.

Brand level	Area rules	Retail types
1	S(f,x,y) ≥ 0.25G and S(f,x,y) = max(s)	15, 16
2	S(f,x,y) < 0.25G and S(f,x,y) = max(s), or S(f,x,y) > 0.05G and S(f,x,y) ≠ max(s)	5, 6, 7, 8, 9
	S(f,x,y) ≥ 0.25G and S(f,x,y) = max(s)	4
3	S(f,x,y) > 0.1G and S(f,x,y) ≠ max(s), or S(f,x,y) < 0.25G and S(f,x,y) = max(s)	17, 19
	S(f,x,y) > 20 and S(f,x,y) ≤ 0.1G	17, 18, 19
	S(f,x,y) < 0.1G	20, 21
4	S(f,x,y) > 20 and S(f,x,y) ≠ max(s), or S(f,x,y) < 0.25G and S(f,x,y) = max(s)	11, 12, 13, 14
	S(f,x,y) < 20	10
5	S(f,x,y) < 0.1G	1, 2, 3, 22

is the area vector of a single floor.