Thursday, March 12, 2026

Problem Solving (Part 7): Compare to Decide — Finding the Optimum Solution

Photo by Jason Dent on Unsplash
In Part 6, we talked about analyzing each solution independently.

Now we move to the step most people think they’re doing from the beginning:

Comparison.

This is where you place viable solutions side-by-side and determine which one is optimum—not just acceptable.

The distinction matters.


Analysis vs. Comparison

Analysis answers:

“Does this solution meet the standard?”

Comparison answers:

“Which solution best solves the problem?”

If you compare before analyzing, you risk bias.
If you analyze without comparing, you risk indecision.

Both are necessary—but in the right order.


What Comparison Actually Means

During comparison, leaders:

  • Evaluate each solution against the others

  • Use previously defined evaluation criteria

  • Identify relative strengths

  • Identify relative weaknesses

  • Determine the best overall fit

The objective is not perfection.

The objective is optimization.


Use a Decision Matrix
Photo by Markus Spiske on Unsplash

The most common comparison tool is a decision matrix.

A decision matrix:

  • Lists evaluation criteria

  • Assigns weights (if appropriate)

  • Scores each solution

  • Produces a structured comparison

It removes personality from the process.


Simple Civilian Example

Problem: Improve student engagement.

Evaluation Criteria:

  • Cost

  • Time to implement

  • Impact on engagement

  • Sustainability

Solutions:

  • Adjust schedule

  • Implement project-based learning

  • Increase technology integration

Each solution is scored against each criterion.

If impact is weighted more heavily than cost, that weight influences the final result.

Suddenly, the decision becomes transparent.


Coaching Example

Problem: Defensive performance decline.

Criteria:

  • Player fit

  • Implementation speed

  • Risk exposure

  • Long-term growth

You score:

  • Scheme change

  • Personnel rotation

  • Conditioning emphasis

The matrix reveals which option best balances effectiveness and sustainability.


Business Example

Problem: Market share decline.

Criteria:

  • Revenue growth potential

  • Cost

  • Risk

  • Brand alignment

  • Speed to market

Options:

  • New product launch

  • Pricing strategy change

  • Market repositioning

The decision matrix forces clarity.


Why This Step Builds Credibility

Comparison:

  • Shows transparency

  • Reduces favoritism

  • Protects leaders from accusations of bias

  • Strengthens stakeholder trust

  • Documents the decision process

Photo by Austin Chan on Unsplash
When challenged, leaders can point to the framework.

Not emotion. Not preference. Not pressure.

Structure.


What “Optimum” Really Means

The optimum solution:

  • Meets screening criteria

  • Achieves benchmarks

  • Scores highest against weighted evaluation criteria

  • Aligns with mission and values

  • Balances short-term and long-term impact

It may not be perfect.

But it is the best fit given available information and constraints.


Avoid These Pitfalls

During comparison:

  • Do not introduce new criteria

  • Do not shift weights to favor a preferred option

  • Do not ignore the matrix because you “have a feeling”

  • Do not rush because of external pressure

Discipline builds trust.


Why Leaders Struggle Here

Because comparison requires commitment.

Once you determine the optimum solution, you must be prepared to:

  • Recommend it

  • Defend it

  • Implement it

Comparison forces ownership.


Final Thought

Good leaders generate options.
Great leaders compare them objectively.

Put the solutions side-by-side.
Use your criteria.
Apply your weights.
Make the choice that best achieves the mission.

In Part 8, we’ll cover making and implementing the decision—because analysis without action is just academic.

Leadership moves forward.


Teach it. Coach it. Lead.

JVD


Sources & Credits

Concepts in this article are derived from FM 6-0, Commander and Staff Organization and Operations, Chapter 4, regarding comparing possible solutions and the use of decision matrices.

This post was drafted with the assistance of AI (ChatGPT) and edited by Mr. VanDusen.

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