Analytic Hierarchy Process (AHP)

Introduction: Analytic Hierarchy Process (AHP)

The Analytic Hierarchy Process (AHP) is a structured decision-making method developed by Thomas L. Saaty in the 1970s. It helps decision-makers handle complex problems by breaking them down into a hierarchy of goals, criteria, and alternatives, and then systematically comparing them.

Background

AHP was created to combine both quantitative data and qualitative judgement in decision-making. Instead of relying on intuition alone, it provides a logical framework for comparing options step by step. It has since been applied in business, government, and Lean Six Sigma projects worldwide.

Key Elements / Features

1. Define the goal – State the decision objective clearly.
2. Build the hierarchy – From overall goal to criteria, sub-criteria, and alternatives.
3. Pairwise comparisons – Compare criteria and alternatives two at a time, usually on a scale from 1 to 9.
4. Calculate weights – Assign priorities to reflect importance.
5. Consistency check – Ensure that judgements are logical and consistent.
6. Select the best alternative – The option with the highest overall score is chosen.

Applications / Examples

• Business strategy: Selecting suppliers, projects, or investments.
• Public policy: Prioritising infrastructure or allocating resources.
• Lean Six Sigma: Ranking improvement initiatives.
• Personal decisions: Choosing study programmes or job offers.

For example, a company choosing a supplier might rank criteria such as price, quality, delivery, and sustainability. After weighting and scoring, the supplier with the highest score becomes the preferred option.

Relevance / Impact

AHP balances subjective and objective factors, encourages consensus, and delivers a clear numerical ranking of alternatives. While it can be time-consuming for large problems, it remains one of the most trusted methods for structured decision-making.

See also

• Prioritisation Matrix
• Decision Matrix
• Multi-Criteria Decision Making (MCDM)
• Lean Six Sigma