High Rectangular City Example Demand 50% workload x=-0.25 Equal travel time Boundary line
x y -1 +1 x=-0.25 x=0.75 * 1-w w High Demand Area: 50% workload Rectangular City Example Equal travel time Boundary line
Optimal districting dIspatch the closest available serveris often not optimal, where ' optimal implies minimizing mean travel time o May not be good for reducing workload imbalance either oB With numerical example in book the optimal boundary line is shifted to the right by 10/126 miles
Optimal Districting a“Dispatch the closest available server’ is often not optimal, where ‘optimal’ implies minimizing mean travel time aMay not be good for reducing workload imbalance either aWith numerical example in book, the optimal boundary line is shifted to the right by 10/126 miles
High Rectangular City Example Demand 50% workload 1-)=73/126h*=53/126 x=-0.25 10/126 Equal travel time Optimal Boundary line Boundary line
x y -1 +1 x=-0.25 x=0.75 * Equal travel time Boundary line 1-w*=73/126 w*=53/126 High Demand Area: 50% workload Optimal Boundary Line 10/126 Rectangular City Example
Boundary Line Comparison o Equal travel time boundary line T(AW=12)=0.46246 △W=0.05236 a Optimal boundary line T(A)=0.46166 △W=0.04405
Boundary Line Comparison aEqual travel time boundary line `T(Aw=1/2)=0.46246 ` ∆W = 0.05236 aOptimal boundary line `T(Aw*)=0.46166 ` ∆W = 0.04405