
We all know the story about the emperor’s new clothes. I’ve been thinking about prioritization and scheduling, and as far as I know, no one is promoting that we maximize value – they (and we) have been promoting that we do the most valuable stuff first. Doing the most valuable things first does not result in getting value the fastest. In this article, we show why not.
Genesis
About a month ago, I read an article by Kelly Waters on how to prioritize intuitively. He presents a magic square diagram, showing both the “how valuable is it” and the “how hard is it to do” axes. I’m oversimplifying, read his article for more details – he incorporates elements of risk, complexity, etc. I really liked that he was addressing the “missing element” of how much work is involved. However, his diagrammatic approach, while presenting this information very well, does not really yield insights into what to do first. Kelly and I had a great discussion over the next couple weeks, exploring the interplay of work and value in prioritization, trying to find a way to encourage value-maximizing decisions.
Prioritize By Value
We have talked about prioritizing the most valuable requirements first repeatedly. And in the last of those links, we accidentally hinted at, but didn’t grasp the real goal:
We will only consider those steps where the profitability of change exceeds our hurdle rate for investment.
We’ve also talked in the past about using use cases as the basis for scheduling, as each use case represents realizable value. For the rest of this article, we’ll talk in the context of scheduling use cases across releases.
Consider a very simple example – you have five use cases, with values of 10, 9, 9, 8, and 7 respectively (the units don’t matter). If you sort those use cases in order by value, from left to right, they would look like the following:

The size of each box shows the relative value of having the use case implemented.
Based on our previous guidance (and everyone else’s), you would implement them in order, from left to right. Makes sense. Do the most valuable thing first. Do the next most valuable thing next. Repeat until the value is not high enough to continue.
What About The Amount of Work?
OK, the amount of work required should play a role too. In our time-boxing article, we describe each release as having a given capacity, which you can visualize in terms of cost (resource) and time (duration of applying resources):

We fill up that capacity with use cases, based upon how much work is involved.

We can estimate the work involved with each use case by any of a number of methods – but the earliest estimates can be developed using use case points.
Consider the following “work” measurements, identified for each of our use cases from above:

We have the same sequence of use case implementation (based on value), but now we can visually see that there are different amounts of work associated with each use case. The area of each box represents the relative level of effort required to implement the use case.
Prioritize By Value Results
The best way to explain the flaw with the classical “prioritize by value” approach is to show what happens after the first release. Consider that you can accomplish 30 units of work in the first release.

We can schedule the first two use cases for this release. The size of the time-box above represents the amount of work that can be accomplished. With the first two use cases scheduled, the time-box will look like the following:

We have completely used up the available capacity of the team (Work = W = 30 = 10 + 20) by delivering the two most valuable use cases. We have delivered 19 units of value (Value = V = 10 + 9 = 19).
Value Maximization
When we consider both the value (V) and the cost (in terms of work, W) of each use case, we see that some use cases generate more value per unit of work than other use cases. If we consider the ratios of value to work (V/W), and sort the use cases based on this approach, we would see the following:

And with the previous specific value and work values:

If we were to organize our delivery of use cases based on this ratio, we would be saying “prioritize the most effective use cases in terms of value per unit of work.” This may seem counter intuitive, but it makes sense – get the most bang for the buck earlier, and you will get more value faster.
Consider what our first release would look like:

We would complete three use cases (using 25 units of available work), and we would deliver 25 units of value. We would also be able to start working on one of the use cases that would be delivered in the next release.
True Maximization
To find the mathematically proven maximal value, we have to do a bunch more work. This prioritization exercise is actually an example of the bin-packing problem, an np-complete computer science puzzle. To make a long story short, we can’t use a simple heuristic and guarantee that in all cases it will be optimal. But we can do better than “most valuable first.”
If we use the scheduling rule as follows:
Schedule the use cases in order based on the highest value-to-work ratio, skipping use cases that are “too big” for the current release.
Then we will get value out of the system as fast as possible. There are a couple problems with this approach:
- It does not take into account that you can apply work from one release to a use case that is scheduled in a future release. Intuitively, any “remaining time” after scheduling complete use cases should be spent on the next highest-ratio use case. I haven’t proven that mathematically, but it makes sense.
- Use cases, and their underlying requirements, and the implementation tasks to support those requirements are not actually independent. You may need to introduce one use case before another – the second use case may not be possible without the first one. Implementing a requirement that is shared across use cases will reduce the “remaining work” for those other use cases – causing a need to recalculate ratios. Implementation tasks are often dependent upon one another. The discrete tasks to support a valuable use case may require implementation work that is also leveraged in lower value use cases. Further, some implementation tasks must be performed sequentially. You can’t optimize a query before defining a database schema, for example.
The second problem actually applies to any prioritization approach that incorporates value. The nature of software development introduces constraints (X must be completed before Y can be started). Those constraints narrow the possible scheduling choices. And they make it impractical to determine the “optimal” solution. At least with commercially available tools, excluding expert systems, which can be used to solve this type of problem.
Conclusion
- Sequencing use cases based solely on value does not maximize the delivery of value over time.
- Sequencing those use cases based upon the ratio of value to effort will increase the rate at which value is delivered to customers.
- It is impractical (and possibly marginally valuable) to determine the optimal sequence for scheduling use cases to maximize value.
You should use the “highest ratio first” approach, and when a use case can’t be delivered yet because of interdependencies, skip it. Also – apply judgement to sanity check if you are doing something that seems odd – like delaying a high ratio, high value use case. Explore with the development team if there are ways to adjust their dependencies to allow for a “more valuable” delivery sequence


