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Imagine a fire truck stuck in traffic while seconds tick away relentlessly. In a metropolis, the difference between a timely intervention and a tragedy often lies in a well-made map. Iranian researchers turned this problem into a mathematical challenge for the city of Birjand, using an artificial "brain" called a genetic algorithm.

The team divided the city into seven zones and simulated vehicle movements at an average 52.5 km/h, setting a 5-minute arrival threshold. The verdict? Two high-density districts (R4 and R5) remained uncovered, while a quiet zone (R6) had wasted resources. The algorithm then "evolved" 100 possible solutions over 20 generations, cutting the total penalized response time to 25.89 minutes.

But it's not just about speed: there's the wallet too. Cost-benefit analysis crowned Station 2 as the top investment, with a net gain of 3,163 billion Iranian rials, beating the competitor even when varying discount rates up to 10%.

The result is a Decision Support System (DSS) combining adaptive planning, data analytics, and civil engineering. A recipe for more resilient cities, where technology doesn't just manage traffic but protects those who live there. Next time you hear a siren, remember: there's a lot of math behind that sound.

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The study published in Future Transportation details a Binary Integer Programming (BIP) framework for the Facility Location Problem applied to fire services. The objective function minimizes the sum of demand-weighted response times, subject to coverage constraints (each zone served by at least one station within 5 mins) and budget limits. Dynamic simulation in MATLAB 2019b modeled Birjand's real road network, calibrating travel times via observed average speed (52.5 km/h).

The Genetic Algorithm (GA) used a population of 100 individuals over 20 generations with tournament selection, single-point crossover, and bit-flip mutation operators. The fitness function included a heavy penalty for uncovered zones (penalty cost), steering the search toward feasible solutions. The optimal output (25.89 min total penalized time) represents a significant improvement over the as-is configuration.

Economic analysis employed Net Present Value (NPV) over a 20-year horizon, discounting benefits (reduced property damage, statistically valued lives saved) and costs (CAPEX/OPEX). Station 2 shows NPV = 3163 M IRR (1% discount rate), with sensitivity analysis confirming robustness up to 10%. The proposed DSS integrates GIS modules for dynamic demand and network updates, enabling "what-if" planning for urban growth scenarios or extreme events.

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Authors:
Farhad Mohammadzadeh
Date Published:
Original Article www.mdpi.com
Fact-check verified on 05/11/2026
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Creative Commons License CC BY-NC-SA 4.0

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