The model we use here is similar to Anderson’s in that the only spatially
variable cost is commuting and hence maximizing aggregate housing rent is
equivalent to minimizing total commuting costs. The city consists of P
identical households who can reside in n residential zones Ž .i . Each of these
zones has Ni housing units. Workplaces are fixed and in each of m employment zones Ž .j there are Ej jobs. Each household has a single employed
worker, who incurs commuting costs ci j. The following linear program assigns
households to zones in a manner which minimizes aggregate commuting costs