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Optimal control of a bioeconomic crop-energy system with energy reinvestment | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 17 آبان 1404 اصل مقاله (2.59 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.31369.2815 | ||
| نویسنده | ||
| Othman Cherkaoui Dekkaki* | ||
| College of Computing, Mohammed IV Polytechnic University, Benguerir Morocco. | ||
| چکیده | ||
| We develop a continuous-time optimal control model for allocating agricultural crop residues between bioenergy production and soil fertility restoration. The system includes a circular reinvestment channel: a portion of the accumulated bioenergy stock is reinvested to enhance soil fertility, thereby closing the loop between energy use and ecological regeneration. The dynamics are governed by a three-state system with a single allocation control. The objective is to maximize a discounted net benefit that accounts for energy revenue, soil value, and operational costs. We apply the Pontryagin Maximum Principle in current-value form to derive necessary optimality conditions and a bang–interior–bang control; no singular arc under our parameterization. Direct optimization confirms a quasi-turnpike phase and shows how the planning horizon and reinvestment efficiency shift switching times and interior duration. The results highlight the strategic role of energy reinvestment in sustainable residue management. | ||
| کلیدواژه‌ها | ||
| Optimal control؛ Bioeconomic modeling؛ Agricultural residue management؛ Energy-soil feedback؛ Pontryagin Maximum Principle | ||
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