Assessment and Selection of Mathematical Trends to Increase the Effectiveness of Product Sales Strategy

This paper explores the application of a mathematical trend model to analyze product sales performance. A logistic trend model was utilized to analyze product sales performance, employing monthly sales data collected over three years. The model assessed impacts across various phases of the product l...

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Main Authors: Marcela Malindzakova, Gabriela Izarikova
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/15/9/4695
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author Marcela Malindzakova
Gabriela Izarikova
author_facet Marcela Malindzakova
Gabriela Izarikova
author_sort Marcela Malindzakova
collection DOAJ
description This paper explores the application of a mathematical trend model to analyze product sales performance. A logistic trend model was utilized to analyze product sales performance, employing monthly sales data collected over three years. The model assessed impacts across various phases of the product life cycle. Significant sales trends were identified and modeled from historical data, demonstrating how sales dynamics mirror broader economic phenomena and consumer behaviors. In addition to logistic trends, linear and quadratic trends were also evaluated. To assess the significance of the sales trends for three products, the Mann–Kendall test was applied. The results indicate a statistically significant positive trend in the sales of product A. For evaluating the quality of data fit in model comparison, the Akaike Information Criterion (AIC) and the Bayesian Information Criterion (BIC) were deemed appropriate. The analysis revealed that the logistic model effectively delineates different sales phases—from introduction to maturity—and highlights opportunities for optimizing strategic sales planning and customer satisfaction in alignment with market demands. The study’s findings are crucial for businesses seeking to enhance product lifecycle management and boost sales forecasting precision.
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spelling doaj-art-3756cab89abc4697be742a19c811ad382025-08-20T02:30:45ZengMDPI AGApplied Sciences2076-34172025-04-01159469510.3390/app15094695Assessment and Selection of Mathematical Trends to Increase the Effectiveness of Product Sales StrategyMarcela Malindzakova0Gabriela Izarikova1Institute of Logistics and Transport, Faculty of Mining, Ecology, Process Control and Geotechnologies, Technical University of Kosice, 042 00 Košice, SlovakiaDepartment of Applied Mathematics and Informatics, Faculty of Mechanical Engineering, Technical University of Kosice, 042 00 Košice, SlovakiaThis paper explores the application of a mathematical trend model to analyze product sales performance. A logistic trend model was utilized to analyze product sales performance, employing monthly sales data collected over three years. The model assessed impacts across various phases of the product life cycle. Significant sales trends were identified and modeled from historical data, demonstrating how sales dynamics mirror broader economic phenomena and consumer behaviors. In addition to logistic trends, linear and quadratic trends were also evaluated. To assess the significance of the sales trends for three products, the Mann–Kendall test was applied. The results indicate a statistically significant positive trend in the sales of product A. For evaluating the quality of data fit in model comparison, the Akaike Information Criterion (AIC) and the Bayesian Information Criterion (BIC) were deemed appropriate. The analysis revealed that the logistic model effectively delineates different sales phases—from introduction to maturity—and highlights opportunities for optimizing strategic sales planning and customer satisfaction in alignment with market demands. The study’s findings are crucial for businesses seeking to enhance product lifecycle management and boost sales forecasting precision.https://www.mdpi.com/2076-3417/15/9/4695Gompertz curvelogistics trendthe product sale strategycompetitiveness of product sales
spellingShingle Marcela Malindzakova
Gabriela Izarikova
Assessment and Selection of Mathematical Trends to Increase the Effectiveness of Product Sales Strategy
Applied Sciences
Gompertz curve
logistics trend
the product sale strategy
competitiveness of product sales
title Assessment and Selection of Mathematical Trends to Increase the Effectiveness of Product Sales Strategy
title_full Assessment and Selection of Mathematical Trends to Increase the Effectiveness of Product Sales Strategy
title_fullStr Assessment and Selection of Mathematical Trends to Increase the Effectiveness of Product Sales Strategy
title_full_unstemmed Assessment and Selection of Mathematical Trends to Increase the Effectiveness of Product Sales Strategy
title_short Assessment and Selection of Mathematical Trends to Increase the Effectiveness of Product Sales Strategy
title_sort assessment and selection of mathematical trends to increase the effectiveness of product sales strategy
topic Gompertz curve
logistics trend
the product sale strategy
competitiveness of product sales
url https://www.mdpi.com/2076-3417/15/9/4695
work_keys_str_mv AT marcelamalindzakova assessmentandselectionofmathematicaltrendstoincreasetheeffectivenessofproductsalesstrategy
AT gabrielaizarikova assessmentandselectionofmathematicaltrendstoincreasetheeffectivenessofproductsalesstrategy