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Albayati, Fatema, Almosa, Nadia, Ghazi, Hayder. (1405). A Multi-Objective Mixed-Integer Model for Asymmetric Roadside Greenbelt Design in Arid Highway Corridors. فصلنامه علمی زیست فناوری گیاهان زراعی, (), -. doi: 10.30473/coam.2026.79174.1456
Fatema Ali Albayati; Nadia Ali Abbas Almosa; Hayder F. Ghazi. "A Multi-Objective Mixed-Integer Model for Asymmetric Roadside Greenbelt Design in Arid Highway Corridors". فصلنامه علمی زیست فناوری گیاهان زراعی, , , 1405, -. doi: 10.30473/coam.2026.79174.1456
Albayati, Fatema, Almosa, Nadia, Ghazi, Hayder. (1405). 'A Multi-Objective Mixed-Integer Model for Asymmetric Roadside Greenbelt Design in Arid Highway Corridors', فصلنامه علمی زیست فناوری گیاهان زراعی, (), pp. -. doi: 10.30473/coam.2026.79174.1456
Albayati, Fatema, Almosa, Nadia, Ghazi, Hayder. A Multi-Objective Mixed-Integer Model for Asymmetric Roadside Greenbelt Design in Arid Highway Corridors. فصلنامه علمی زیست فناوری گیاهان زراعی, 1405; (): -. doi: 10.30473/coam.2026.79174.1456

A Multi-Objective Mixed-Integer Model for Asymmetric Roadside Greenbelt Design in Arid Highway Corridors

Control and Optimization in Applied Mathematics
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 11 مهر 1405    اصل مقاله (1013.65 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.30473/coam.2026.79174.1456
نویسندگان
Fatema Ali Albayati* 1؛ Nadia Ali Abbas Almosa2؛ Hayder F. Ghazi1
1Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq
2College of Information Technology, University of Babylon, Babylon, Iraq
چکیده
We formulate roadside greenbelt design in arid highway corridors as a constrained multi-objective mixed-integer nonlinear program on a discretized cross-section consisting of a median and two verges. Activating a cell installs a cluster of one species, and a per-zone irrigation variable fixes the realized crown geometry. Three functionals are minimized: the daily sensible-heat release, the worst-case A-weighted level at residential receivers, and a roadside risk index that combines fixed-object hazard with aeolian shelter. The irrigation volume is bounded by an ε-constraint. We prove that the marginal risk response is non-monotone in lateral offset, with a unique interior minimizer beyond the clear zone; that the functionals select incompatible sides, so that every efficient design is transversely asymmetric; and that the scalarized problem is NP-hard. A converged evolutionary study on a 1 km corridor at 33.3◦N recovers both structural predictions: the designs place 63–100% of the activated verge cells on the receiver side, that is, the side carrying the modeled residences.

تازه های تحقیق
  • Cross-sectional highway greenbelt design is posed as a three-zone, cell-activation MINLP with irrigation-coupled crown growth.
  • Proves that the marginal safety effect of roadside planting is non-monotone in lateral offset, with a unique interior minimiser.
  • Shows acoustic and safety objectives structurally disagree on which verge to plant, forcing transverse asymmetry in every efficient design.
  • Establishes NP-hardness of the scalarised design problem, including a strongly NP-hard case under crown-spacing constraints.
  • NSGA-II study on a 1 km, 550-cell corridor recovers both structural predictions without any built-in side or offset preference.
کلیدواژه‌ها
Multi-objective optimization؛ Mixed-integer nonlinear programming؛ Pareto front؛ Roadside safety؛ Spatial discretization
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