Research Article

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

Table 1

Parameters used in the model.

NotationDefinition

rBBasic rent for the first floor (US$/m2)
chAdjustment coefficient of shop grade (for basic rent)
cfAdjustment coefficient of the floor (for basic rent)
FThe floor number
f1Floor threshold coefficient
cpoRegulation coefficient of the entrance and exit and elevator (for basic rent)
(xstore, ystore)The (x, y) coordinates of the centre of the store
(xentr, yentr)The (x, y) coordinates of the centre of entry and exit
(xelev, yelev)The (x, y) coordinates of the centre of the elevator
SanchorThe size of the anchor store (m2)
S(f,x,y)The store’s area of coordinates (f, x, y); f is the floor of the store
danchorEuropean distance between other stores and the anchor store
Externality coefficient of the anchor store
niThe number of potential consumers of retail type i
costiThe annual consumption capacity of consumers for goods of type i
SiThe total area of stores with retail type i
piUnit area sales when the total area of the retail type i store is Si
Strav(i)The maximum size of a retail type, which potential consumers are willing to search to find products that meet their needs
S(f,i)The total area of the i retail type stores on floor f
αThe proportion of customers entering other stores of the same type of retail for the purpose of comparison shopping
The proportion of real consumers that individual stores lose in competition
Sthre(i)The total area of a store with retail type i when the retail sales of per unit area reach the maximum
pmThe threshold that stores with retail type i should pay a percentage rent
Smax(i), Smin(i)The total area of stores with retail type i when the sales are pm (two possibilities)