Analytic Hierarchy Process AHP
Contents |
[edit] Introduction
The analytic hierarchy process (AHP - or analytical hierarchy process) is a form of multi-criteria decision making (MCDM) that applies mathematics and psychology to the selection process - with minimal bias - when no clear choice is apparent. AHP can help to identify the most beneficial solution using a systematic approach that ranks different options based on importance.
AHP was developed in the 1970s by Thomas Saaty, a university professor who specialised in statistics and operations research. Along with AHP, Saaty created two other decision-making approaches - the Analytic Network Process or ANP (for decisions that depend on feedback) and Neural Network Process or NNP (which incorporates the mathematics of ANP and applies neural firing and synthesis).
[edit] Overview
AHP takes a problem and examines it in three phases:
- The goal. What issue needs to be resolved?
- The solutions. What are all of the available alternatives?
- The criteria. What criteria will be used to judge the possible solutions?
After phase three has been determined, it is then possible to calculate an importance weighting for each criterion. This is achieved through pairwise comparisons, a method of analysis that evaluates two criteria at the same time rather than comparing several criteria at once. Pairwise comparisons make it easier to select the most appropriate choice once the utility factor has been calculated. Utility is defined as a numerical representation of how useful or beneficial something is.
[edit] Addressing the calculation process
Linear algebra is a type of mathematics that can be used along with pairwise comparisons to prioritise the criteria, based on the weight of its importance. Criteria with higher numbers are seen as more important.
Despite being technically valid and practically useful, AHP has been criticised for its reliance on mathematics. However, basic AHP calculations can be performed by readily available tools such as Excel. More advanced software is also available to automate the process.
To assist in the calculation process, Saaty created a sample nine-point scale, which is reproduced in the study, Analytic Hierarchy Process-Based Construction Material Selection for Performance Improvement of Building Construction: The Case of a Concrete System Form.
| Definition | Intensity of importance |
| Equally important | 1 |
| Moderately more important | 3 |
| Strongly more important | 5 |
| Very strongly more important | 7 |
| Extremely important | 9 |
| Intermediate values | 2, 4, 6, 8 |
[edit] Applying AHP
Because AHP is designed to assist in the analysis of complex situations, it has been used in business, manufacturing and other industries. Rather than prescribing a "correct" decision, AHP helps decision makers find one that best suits their values and their understanding of the problem.
For this reason, AHP is sometimes used in engineering, construction management, portfolio management, facilities maintenance, material selection and other important situations. In the US, engineers used an AHP rating system to prioritise maintenance projects for thousands of public structures, including nearly 3,000 bridges in need of repair.
As a material selection tool, AHP is designed to look beyond a product’s price or life cycle while removing conflicting or biased evaluation criteria based on less quantifiable factors such as personal preference or previous experience. Instead, it helps make selections based on qualitative properties such as performance.
[edit] Critique of AHP
Arroyo, Tommelein and Ballard (2014) offered a critique of AHP in a paper in the Journal of Construction Engineering and Management. They suggested that Choosing by Advantages (CBA) is preferable to AHP at least in the context of detailed design.
CBA:
- provides a more context-based analysis than AHP,
- does not incorporate conflicting judgments for weighing factors as AHP does,
- does not assume linear trade-offs between factors as AHP does,
- does not assume that factors have zero as a natural scale as AHP does,
- focuses on differentiating between alternatives more than AHP,
- maintains the result of the decision when non-differentiating factors are removed, whereas AHP may not, and
- defers subjective judgments until late in the decision-making process, whereas AHP requires expressing them earlier.
CBA is now being used in UK by Highways England and the East Thames Crossing project among others.
For more on CBA see e.g.
- Deciding a Sustainable Alternative by Choosing by Advantages' in the AEC industry
- Applying Choosing by Advantages in the Public Tendering Procedure
- Does Choosing by Advantages Promote Inclusiveness in Group Decision-Making?
- Does Your Decision-Making Process Protect Customer Value?
- Choosing by Advantages for the Selection of a New Member of the Project Team
[edit] Related articles on Designing Buildings Wiki
- Case-based reasoning CBR.
- Decision making on building design and construction projects.
- Double diamond design process.
- Project manager.
- Six sigma.
[edit] External resources
- Analytic Hierarchy Process-Based Construction Material Selection for Performance Improvement of Building Construction: The Case of a Concrete System Form.
- Using the analytic hierarchy process (ahp) to select and prioritize projects in a portfolio.
- What to Do? Let’s Think It Through! Using the Analytic Hierarchy Process to Make Decisions.
- Comparing AHP and CBA as Decision Methods to Resolve the Choosing Problem in Detailed Design
Featured articles and news
A case study and a warning to would-be developers
Creating four dwellings for people to come home to... after half a century of doing this job, why, oh why, is it so difficult?
Reform of the fire engineering profession
Fire Engineers Advisory Panel: Authoritative Statement, reactions and next steps.
Restoration and renewal of the Palace of Westminster
A complex project of cultural significance from full decant to EMI, opportunities and a potential a way forward.
Apprenticeships and the responsibility we share
Perspectives from the CIOB President as National Apprentice Week comes to a close.
The first line of defence against rain, wind and snow.
Building Safety recap January, 2026
What we missed at the end of last year, and at the start of this...
National Apprenticeship Week 2026, 9-15 Feb
Shining a light on the positive impacts for businesses, their apprentices and the wider economy alike.
Applications and benefits of acoustic flooring
From commercial to retail.
From solid to sprung and ribbed to raised.
Strengthening industry collaboration in Hong Kong
Hong Kong Institute of Construction and The Chartered Institute of Building sign Memorandum of Understanding.
A detailed description from the experts at Cornish Lime.
IHBC planning for growth with corporate plan development
Grow with the Institute by volunteering and CP25 consultation.
Connecting ambition and action for designers and specifiers.
Electrical skills gap deepens as apprenticeship starts fall despite surging demand says ECA.
Built environment bodies deepen joint action on EDI
B.E.Inclusive initiative agree next phase of joint equity, diversity and inclusion (EDI) action plan.
Recognising culture as key to sustainable economic growth
Creative UK Provocation paper: Culture as Growth Infrastructure.
Futurebuild and UK Construction Week London Unite
Creating the UK’s Built Environment Super Event and over 25 other key partnerships.
Welsh and Scottish 2026 elections
Manifestos for the built environment for upcoming same May day elections.
Advancing BIM education with a competency framework
“We don’t need people who can just draw in 3D. We need people who can think in data.”

























