Fig. 12

Advanced multi-panel performance dashboard:green AI vs. metaheuristics. Insight: or-tools achieves 98.7% of Brute force optimality with 93% less runtime. Comprehensive performance dashboard of optimization algorithms in sustainable physical distribution: A multi-dimensional comparative analysis. This multi-panel visualization evaluates seven metaheuristic and classical algorithms—including the proposed MOIAC (OR-Tools), MOIPS, MPACO, Genetic, PSO, ACO, and Greedy—across eight performance dimensions: (a) Total distance (km),(b) Operational cost (× 1000 EGP), (c) CO₂ emissions distribution (pie chart), (d) Efficiency vs. execution time with bubble size reflecting cost, (e) Response time under Zipf-distributed demand (α = 0.9), (f) Radar plot of multi-criteria performance (distance, cost, CO₂, time, speed), (g) Heatmap of normalized performance scores, and (h) Evolution of the objective function over iterations.