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Pugh matrix template

A Pugh matrix chooses among competing concepts by comparing each one with a single reference concept, the datum, one criterion at a time. Every cell gets a plus (better than the datum), an S (the same) or a minus (worse). It is named for Stuart Pugh and is also called controlled convergence, because the team uses it to improve the concepts as well as to narrow them. This template has the matrix for up to 12 criteria and 8 concepts, a second sheet for the next round with a new datum, and a worked example of choosing how to feed parts into a press. The Excel version counts pluses, sames and minuses, shows the net, flags a minus on a must-have criterion, adds an optional weighted net and proposes the datum for round 2.

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Page 1 of the Pugh matrixDecision, team, date and round fields, a table of 12 criteria with weight and must-have columns, a datum column and six concept columns, rows for pluses, sames, minuses, net, weighted net and must-have minuses, and boxes for the decision on each concept.
Datum and up to 8 concepts12 criteria with weights and must-haves+, S and - marksNet and weighted netMust-have flagRound 2 sheetDecision for each conceptWorked example

When to use it

When to use a Pugh matrix

  • When a team has a handful of competing ways to solve one problem, such as how to feed, clamp, convey or inspect a part, and has to narrow them before paying for detail.
  • When there is a current solution to measure against. Today's way is the natural datum, and the question becomes whether each alternative beats it.
  • Early, before the facts are complete. The marks are relative and coarse, so the matrix works on sketches and descriptions, where a 1 to 10 score would be invented precision.
  • When the choice has to be defended later. The sheet records the criteria, which concept was better on what, and why a concept was dropped.
  • Not for ranking a long backlog of improvement ideas by size of benefit. The prioritization matrix does that.

How to fill it in

  1. 1

    Name the decision and list the concepts

    Write the decision in one line. List 5 to 10 front-runners and describe or sketch each to the same level of detail, so a rough idea is not marked against a detailed one. The sheet holds 8 concepts.

  2. 2

    Write the criteria and mark the must-haves

    About ten criteria, driven by what the customer and the plant need, plus internal needs such as cost, ease of making and risk. Put Y beside any criterion where a concept that is worse than the datum should not go ahead as it is. Weights from 1 to 5 are optional; set them before anyone marks a concept.

  3. 3

    Pick the datum

    Any concept can be the datum, but an existing one helps, so most teams use today's solution. The datum is never marked. It is the yardstick.

  4. 4

    Mark every concept against the datum

    For each criterion enter + if the concept is better, S if it is the same or you are not sure, and - if it is worse. Take one criterion at a time across all the concepts. Argue about the marks, not about the totals.

  5. 5

    Read the totals, then study the minuses

    The sheet shows pluses, sames, minuses, the net and the weighted net, and flags a minus on a must-have. For each minus ask whether the team can accept it or cure it by borrowing from another concept. Mark each concept carry forward, combine and improve, or drop.

  6. 6

    Run round 2 with a stronger datum

    Take a strong concept as the new datum. The Round 2 sheet copies the criteria over; list the improved or combined concepts and mark them again, with more detail in the criteria. Stop when one concept stands out and the team agrees. If none does, the criteria may be vague or the concepts too alike. If nothing beats the datum, the datum may be the best choice.

How a Pugh matrix works

Mark, study, improve, then take a stronger datum

The matrix is not run once. After each round the team studies where each concept is weak, improves or combines the concepts, and compares them again with a stronger concept as the new datum.

  1. 1MarkEach concept against the datum, criterion by criterion: +, S or -.
  2. 2StudyCount the marks, then read every minus. Can it be accepted or cured?
  3. 3ImproveCombine concepts and fix minuses. Drop concepts with nothing going for them.
  4. 4New datumTake a stronger concept as the datum and add detail to the criteria.
Go round again

Reading the sheet

What the Excel version reports for each concept

The classic Pugh matrix is a count of marks. The weights, the must-have flag, the reading and the next-datum rule are this template's own additions, and the page says so wherever they appear.

  • Net

    How it is worked out
    Pluses minus minuses
    What to do with it
    The classic count. Tied concepts get the same rank and the sheet says so: do not choose on a tie.
  • Weighted net

    How it is worked out
    Each criterion's weight (1 to 5, blank counts as 1) times +1, 0 or -1, added
    What to do with it
    Optional second view. If it names a different leader from the net, talk about the weights first.
  • Minuses on must-haves

    How it is worked out
    Count of minuses on criteria marked Y
    What to do with it
    The reading says Misses a must-have. The team decides whether to fix the concept or drop it.
  • Reading

    How it is worked out
    Ahead of, behind or level with the datum on weighted net, with a note when the plain count disagrees
    What to do with it
    A description of the numbers, not a verdict.
  • Datum for the next round

    How it is worked out
    Highest weighted net among concepts with no must-have missed, then highest net, then list order
    What to do with it
    A proposal. If no concept is above 0 the sheet says the datum may be best.

A filled-in example

Illustrative, not a benchmark

An example: choose how to feed parts into a stamping press, against today's manual feed (illustrative marks, not measurements).

Round 1: four ways to feed the press, each marked against manual feed

Round 1 of the press feeder example: four concepts marked against manual feed, with pluses, minuses, net and weighted net.
Criterion (weight)Gravity chuteVibratory bowlRobot pick and placeMagazine and pusher
Operator hands stay out of the die area (5, must-have)++++
Reaches the target parts per minute (4, must-have)-+++
Changeover between part numbers (4)--+-
Purchase and installation cost (3)+--S
Floor space (2)S--S
Maintenance effort (3)+--S
Jam and misfeed risk (4)--+S
Part orientation reliability (4)-++-
Press downtime to install (3)S--S
Operator skill and training needed (2)SS-S
Pluses and minuses3 and 43 and 65 and 52 and 2
Net-1-300
Weighted net-5-6+8+1
Must-haves missed1000

The robot and the magazine tie at a net of 0. Weighted net is +8 for the robot and +1 for the magazine. The chute misses the target rate, a must-have, and is flagged.

The robot and the magazine tie on the plain count; the weights separate them. The chute has a minus on a must-have. Study the minuses before choosing.
  • Ten criteria, two of them must-haves: operator hands stay out of the die area (weight 5) and reaches the target parts per minute (weight 4). Four concepts: a gravity chute, a vibratory bowl feeder, a robot pick and place and a magazine with a pneumatic pusher.
  • Round 1 against manual feed. The chute has 3 pluses, 3 sames and 4 minuses (net -1, weighted -5) and is flagged because it misses the rate. The bowl feeder has 3 pluses and 6 minuses (net -3, weighted -6). The robot has 5 pluses and 5 minuses (net 0, weighted +8). The magazine has 2 pluses, 6 sames and 2 minuses (net 0, weighted +1).
  • The robot and the magazine tie on the plain count. The weights separate them, and the robot becomes the datum for round 2.
  • The team adds a changeover cartridge and an orientation guide to the magazine, and shrinks the robot to a compact cell. Round 2 against the robot: the plain magazine nets +2 (weighted +1), the improved magazine has 5 pluses and 1 minus (net +4, weighted +9), the compact cell nets +1 (weighted +3).

The improved magazine leads round 2 and misses no must-have. Its S marks on changeover, orientation and the target rate are guesses until a mock-up runs, so the next step is a trial, not an order. To recompute any figure: net is pluses minus minuses, and weighted net is the sum of each weight times +1, 0 or -1.

Common mistakes

  • Choosing on the total

    The Cambridge Institute for Manufacturing describes the method as non-numeric. Two concepts can tie on the count with very different minuses, as the robot and the magazine do in the example. Study each minus: can it be accepted, or cured by borrowing from another concept?

  • Comparing concepts at different levels of detail

    A sketch marked against a finished product gets scored on how much is known, not on merit. Bring every concept to the same level of detail before marking.

  • Letting a weak datum set the result

    Every mark is relative to the datum. A datum that is poor on one criterion makes every concept look good on it. Run round 2 with a different, stronger datum and see whether the leader holds.

  • Marking S when you do not know

    An S on a concept nobody has built is a guess that looks like agreement. List the S marks that decide the choice and test them with a mock-up or a trial before committing money.

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FAQ

Pugh matrix template: common questions

  1. A table that compares several concepts with one reference concept, the datum, on a list of criteria. Each cell is + (better than the datum), S (the same) or - (worse). It is named for Stuart Pugh and is also called controlled convergence, because the team improves and narrows the concepts over repeated rounds.

  2. Any concept can be the datum. The Cambridge Institute for Manufacturing says it can help if it is a product that already exists, so most teams use today's solution. Then repeat with a strong concept as the new datum: a 2009 simulation study by Frey and others found that a strong datum helps the set of concepts converge.

  3. The classic method counts pluses and minuses and does not weight them. Weights here are an optional extra, whole numbers from 1 to 5 set before anyone marks a concept. The sheet shows the net and the weighted net side by side; if they name different leaders, talk about the weights before choosing.

  4. The prioritization matrix scores each idea from 1 to 5 on weighted criteria and ranks a backlog. A Pugh matrix compares a few competing concepts with one datum as better, same or worse, then repeats with a new datum. Use the first to decide which problems to work on, and the second to choose between ways to solve one of them.

  5. Then the datum may be the best choice, as the University of Illinois course slides on concept selection note. Before you accept that, check the criteria for vagueness and ask whether the minuses can be cured by improving or combining concepts. The Excel version says so when no concept has a weighted net above 0.

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