On the Two Mathematical Models for Optimal Riding Plan on Bicycle

Abstract

The purpose of this paper is to examine the two maathematical model for optimal riding plan on bicycle. Both models include three characteristics: rider's power, bike type, and slope, and under a target time constraint, rider choices the riding plan to optimize his/her objective function. One is the model to minimize his/her exhausting level (Yamamoto, 2008). The other is our new model to minimize his/her power level. Theoretical analysis and sumilating some numerical examples on computer show the properties of both optimal riding plans.