InteractiveMap of Operations Research
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ApplicationIntermediate04.06
Networks, Games & Systems

Facility Location

Choose where to place warehouses, clinics, depots, and capacity.

Overview

Facility Location focuses on choose where to place warehouses, clinics, depots, and capacity. In the map of OR, it connects p-median, Set covering, Capacitated location to decisions that must be modeled, solved, explained, and revised as evidence changes.

Location models balance fixed cost, service distance, capacity, coverage, risk, and network flows across long-lived infrastructure decisions. The practical use case is clearest in Warehouses, Clinics, Charging stations, Emergency services, where the method helps turn constraints and tradeoffs into a decision artifact someone can inspect.

Core ideas

p-median

p-median is a core checkpoint for Facility Location: define it concretely, attach units or rules where possible, and test whether stakeholders interpret it the same way.

Set covering

Set covering is a core checkpoint for Facility Location: define it concretely, attach units or rules where possible, and test whether stakeholders interpret it the same way.

Capacitated location

Capacitated location is a core checkpoint for Facility Location: define it concretely, attach units or rules where possible, and test whether stakeholders interpret it the same way.

Hub location

Hub location is a core checkpoint for Facility Location: define it concretely, attach units or rules where possible, and test whether stakeholders interpret it the same way.

Coverage

Coverage is a core checkpoint for Facility Location: define it concretely, attach units or rules where possible, and test whether stakeholders interpret it the same way.

How to use it

  1. 1Start with Warehouses: write the decision, time horizon, actors, and objective in operational language.
  2. 2Translate the problem into p-median, Set covering, and Capacitated location; define units and data sources for each one.
  3. 3Build a small instance of Facility Location that can be solved or simulated by hand inspection before using full production data.
  4. 4Compare the recommendation against a baseline policy, not just against mathematical optimality.
  5. 5Document assumptions, sensitivity results, and the conditions under which the recommendation should be revisited.

Applications

WarehousesClinicsCharging stationsEmergency services
  • Warehouses: compare feasible policies, quantify the operating tradeoffs, and make the assumptions behind the recommendation visible.
  • Clinics: compare feasible policies, quantify the operating tradeoffs, and make the assumptions behind the recommendation visible.
  • Charging stations: compare feasible policies, quantify the operating tradeoffs, and make the assumptions behind the recommendation visible.
  • Emergency services: compare feasible policies, quantify the operating tradeoffs, and make the assumptions behind the recommendation visible.

Common pitfalls

  • Applying Facility Location because the label sounds appropriate while leaving the actual decision boundary vague.
  • Treating p-median as a technical detail instead of a modeling choice that affects the recommendation.
  • Reporting one answer without showing sensitivity to demand, capacity, costs, or behavioral assumptions.
  • Ignoring implementation details such as data quality, explainability, ownership, and how users will override bad recommendations.

Resources