Maximizing the average score in a timed test

<p>The article considers the problem of finding a test taker's strategy for passing a time-limited test. A certain number of points is awarded for each test task. The criterion is the average number of points scored for the test. The random factors taken into account in the model are the time it takes the test taker to solve each task and the correctness of his solution, modeled by a random variable with the Bernoulli distribution. The problem is formulated in terms of stochastic linear programming with probabilistic constraints and a quality criterion in the form of the mathematical expectation of the number of points scored for the test. The solution algorithm, results of a numerical experiment and their comparative analysis with the results of solving a similar problem with other quality criteria previously obtained by the authors are presented.</p>

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Publication Details

Journal
Modelling and Data Analysis
Published
2025-04-09
DOI
https://doi.org/10.17759/mda.2025150109
Primary Topic
Optimization and Mathematical Programming
Type
article
Field-Weighted Citation Impact
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article

Maximizing the average score in a timed test

A. Stepanov
Modelling and Data Analysis
Optimization and Mathematical Programming
article

Maximizing the average score in a timed test

A. Stepanov
article en

Abstract

<p>The article considers the problem of finding a test taker's strategy for passing a time-limited test. A certain number of points is awarded for each test task. The criterion is the average number of points scored for the test. The random factors taken into account in the model are the time it takes the test taker to solve each task and the correctness of his solution, modeled by a random variable with the Bernoulli distribution. The problem is formulated in terms of stochastic linear programming with probabilistic constraints and a quality criterion in the form of the mathematical expectation of the number of points scored for the test. The solution algorithm, results of a numerical experiment and their comparative analysis with the results of solving a similar problem with other quality criteria previously obtained by the authors are presented.</p>

Modelling and Data AnalysisVol. 15(1)
Moscow Aviation Institute (RU)
Openalex Percentile: Top 93%
Optimization and Mathematical Programming
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Maximizing the average score in a timed test — A. Stepanov · Modelling and Data Analysis (2025) | TGRS Research Map | TGRS