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Heuristic Method for Minimizing Distance without Using Calculus and Its Significance

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Title: Heuristic Method for Minimizing Distance without Using Calculus and Its Significance
Language: English
Authors: Retamoso, Ivan
Source: Mathematics Teaching Research Journal. Fall 2022 14(4):225-236.
Availability: City University of New York. Creative Commons. 205 East 42 Street, New York, NY 10017. Web site: https://commons.hostos.cuny.edu/mtrj
Peer Reviewed: Y
Page Count: 12
Publication Date: 2022
Document Type: Journal Articles
Reports - Descriptive
Descriptors: Heuristics, Calculus, Problem Solving, Geometric Concepts, Problem Sets
ISSN: 2573-4377
Abstract: A very common Applied Optimization Problem in Calculus deals with minimizing a distance given certain constraints, using Calculus, the general method for solving these problems is to find a function formula for the distance that we need to minimize, take the derivative of the distance function, set it equal to zero, and solve for the input value, that should most of the time, lead to the optimal solution. In this article we provide alternatives for solving some Applied Optimization Problems related to minimizing a distance, without the use of the Derivative from Calculus, and instead, using a "Reflection Principle" based on symmetry, Geometric properties, and heuristic methods.
Abstractor: As Provided
Entry Date: 2023
Accession Number: EJ1360984
Database: ERIC
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  Data: City University of New York. Creative Commons. 205 East 42 Street, New York, NY 10017. Web site: https://commons.hostos.cuny.edu/mtrj
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  Data: A very common Applied Optimization Problem in Calculus deals with minimizing a distance given certain constraints, using Calculus, the general method for solving these problems is to find a function formula for the distance that we need to minimize, take the derivative of the distance function, set it equal to zero, and solve for the input value, that should most of the time, lead to the optimal solution. In this article we provide alternatives for solving some Applied Optimization Problems related to minimizing a distance, without the use of the Derivative from Calculus, and instead, using a "Reflection Principle" based on symmetry, Geometric properties, and heuristic methods.
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