A segment of automatically controlled highway is being equipped with sensors spaced equally along its length. The maximum error in estimating traffic volume, which occurs halfway between any two sensors, can be expressed as (d/s)2, where d is the length of the segment and s is the number of sensors. Each sensor costs p dollars, and designers want to reduce the maximum error as much as possible within a budget for sensors of b dollars.

Identify each of the following for this design problem.

(a) The decision variable

(b) The input parameters

(c) The objective function

(d) The constraints