Abstract

The paper gives an optimization model for a special type of exercise session, circuit training. Circuit training involves a series of exercises performed in rotation with minimal rest. The goal of our model is to minimize the total circuit time while accomplishing a number of training goals. Our primary model is a linear integer program; additional constraints are added for muscle group and intensity requirements. The model is implemented and tested on algebraic modeling language AMPL. Our computational results show that the model can return an exercise schedule for a typical real-life data set within a few seconds.

Highlights

  • Having an efficient workout routine is important for improving one’s health, fitness, or athletic performance

  • Circuit training involves a series of exercises performed in rotation with minimal rest

  • Some examples are listed below. - There might be limited amount of time available for the workout; on the other hand, rest time is needed between exercises. - The muscle groups targeted by the workout should get certain amount of work; on the other hand, the muscle groups should not be overworked. - A certain level of intensity should be maintained during the workout

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Summary

Introduction

Having an efficient workout routine (or an exercise session) is important for improving one’s health, fitness, or athletic performance. A workout might have different goals, such as gaining strength, losing weight, increasing durability, training certain muscle groups, or some combination of those. There are different requirements and restrictions that should be taken into account when building a workout. - There might be limited amount of time available for the workout; on the other hand, rest time is needed between exercises. - The muscle groups targeted by the workout should get certain amount of work; on the other hand, the muscle groups should not be overworked. - A certain level of intensity should be maintained during the workout Some examples are listed below. - There might be limited amount of time available for the workout; on the other hand, rest time is needed between exercises. - The muscle groups targeted by the workout should get certain amount of work; on the other hand, the muscle groups should not be overworked. - A certain level of intensity should be maintained during the workout

Melkonian DOI
The Primary Integer Programming Model for Circuit Training
The Model with Muscle Group Requirements
The Model with Intensity Requirements
Intensity Constraints
Suggestions for Including the Intensity Constraints in the Model
Computational Results
The AMPL Model
The Output for the Sample Data
Future Directions
Full Text
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