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@article{191736,
        author = {Kishore J},
        title = {A Multivariable Regression and Optimization Model for Yield and Profit Maximization in Commercial Dragon Fruit Farming},
        journal = {International Journal of Innovative Research in Technology},
        year = {2026},
        volume = {12},
        number = {8},
        pages = {8775-8784},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=191736},
        abstract = {Dragon fruit (Hylocereus spp.) cultivation has grown as a high value horticulture enterprise in India, due to the increasing domestic demand, suitable agro-climatic conditions and its strong potential to export. However, scientific optimization of resource use through mathematical modeling remains limited at the commercial farm level. This study develops a comprehensive mathematical and statistical framework for prediction of growth, estimation of yield, and profit optimization using real-time data collected from a commercial dragon fruit farm comprising 6,000 active plants, with a scalability analysis for a planned expansion of 10,000 additional plants. Plant growth is modeled using logistic function, while yield is predicted using multivariable linear regression involving water input, fertilizer dosage, temperature, and plant age. A stochastic probability model is employed to quantify flower-to-fruit conversion under varying climatic conditions. Profit is formulated as a nonlinear multivariable function, and optimization techniques are applied to determine the optimal combination of water and fertilizer that maximizes net returns under real-world cost and resource constraints. The results indicate the existence of a unique optimal input region beyond which marginal returns diminish despite increased resource expenditure. This work provides a scalable, data-driven decision-support framework for precision dragon fruit farming and establishes a strong interdisciplinary link between applied mathematics and sustainable agricultural production systems.},
        keywords = {Dragon fruit cultivation; Mathematical modeling; Multivariable regression; Logistic growth model; Profit optimization; Stochastic modeling; Precision agriculture; Applied mathematics in farming},
        month = {January},
        }