![Sample our Engineering & Technology journals, sign in here to start your access, latest two full volumes FREE to you for 14 days]({"type":"image" , "src" : "/sda/5933/TOC-Subject-Sample-2021-Engineering-Tech.jpg"})
Abstract
Distance functions are employed to estimate actual distances in a transportation network. The ℓ bp -norm, which is a weighted sum of order p, is a generalization of the weighted ℓ p -norm, a well-known distance-predicting function. We derive some mathematical properties of the new norm and of a goodness-of-fit criterion. These properties are used to develop computational procedures to determine the best-fitting parameter values of the ℓ bp -norm for a transportation network. We apply the new norm to 17 geographic regions and find significant improvements in the accuracy of distance estimations over the weighted ℓ p -norm.