Nonlinear Work: When Superposition Fails

More often than we'd like, our projects are late or over budget. Or we find that the problem we've tackled is much more difficult than we thought. We aren't stupid (though some might argue otherwise), and we aren't trying to gild lilies our build empires (though some might argue with that, too). Still, these things happen with such regularity that there must be an explanation.

Part of the answer might be that much of the work we do is of a nature that our minds have difficulty comprehending. One property that gives us trouble is nonlinearity.

For example, consider the issue raised by Fred Brooks in The Mythical Man-Month. If three people can complete a task in six months, many would suppose that nine people can complete it in two months. We now understand that this belief is unfounded, and that our expectations are rarely met.

To understand why, let's begin by defining linear work. Work is linear when the outcomes are directly traceable from, and scale with, inputs. When work is linear, we can successfully plan the outcomes before we begin, because we can predict the course of the effort. To make linear tasks go faster, we can divide them into parts that we execute in parallel, without risking complication.

For example, two identical, independent assembly lines can produce output at double the rate of one single line, assuming that their supply and delivery chains are also independent. A manufacturing process implemented as independent assembly lines is a linear process.

But In a system that doesn't
obey superposition, the whole
can be different from
the sum of its partsnonlinear work doesn't follow this pattern. Although most of the work we do in project-oriented organizations behaves linearly in response to small adjustments, the nonlinearities dominate when we scale those adjustments to a size where we expect to derive large benefits. One attribute of nonlinear work that explains this phenomenon is its failure to obey superposition.

In a system that doesn't obey superposition, the whole can be different from the sum of its parts. In such cases, as we apply more and more resources, the yield per unit of resource can decline. In the case of Brooks's mythical man-month, this can happen because of increased need for management and communication, and increased difficulty in scheduling.

But superposition can fail for a wide variety of reasons. For example, when we decompose a problem into parts, and try to work on the parts separately, one task team might require — solely for scheduling purposes — that another task team take an approach that is less effective than it would have taken if it were free to act independently. We can easily generate numerous examples like this that show failures of superposition that confound our expectations.

In three weeks, we'll continue this exploration of the reasons why nonlinear work is so difficult to manage.  Next in this series  Top    Next Issue

Are your projects always (or almost always) late and over budget? Are your project teams plagued by turnover, burnout, and high defect rates? Turn your culture around. Read 52 Tips for Leaders of Project-Oriented Organizations, filled with tips and techniques for organizational leaders. Order Now!

Your comments are welcome

About Point Lookout

Thank you for reading this article. I hope you enjoyed it and found it useful, and that you'll consider recommending it to a friend.

Point Lookout is a free weekly email newsletter. Browse the archive of past issues. Subscribe for free.

Support Point Lookout by joining the Friends of Point Lookout, as an individual or as an organization.

Do you face a complex interpersonal situation? Send it in, anonymously if you like, and I'll give you my two cents.

Related articles

More articles on Project Management:

The Cheapest Way to Run a Project Is with Enough Resources

Cost reduction is so common that nearly every project plan today should include budget and schedule for several rounds of reductions. Whenever we cut costs, we risk cutting too much, so it pays to ask, "If we do cut too much, what are the consequences?"

My Right Foot

There's nothing like an injury or illness to teach you some life lessons. Here are some things I learned recently when I temporarily lost some of my independence.

Mitigating Risk Resistance Risk

Project managers are responsible for managing risks, but they're often stymied by insufficient resources. Here's a proposal for making risk management more effective at an organizational scale.

Design Errors and Group Biases

Design errors can cause unwanted outcomes, but they can also lead to welcome surprises. The causes of many design errors are fundamental attributes of the way groups function. Here is Part II of our exploration.

Wishful Thinking and Perception: I

How we see the world defines our experience of it, because our perception is our reality. But how we see the world isn't necessarily how the world is.

See also Project Management for more related articles.

Forthcoming issues of Point Lookout

Coming July 25: Exploiting Functional Fixedness: II

A cognitive bias called functional fixedness causes difficulty in recognizing new uses for familiar things. It also makes for difficulty in recognizing devious uses of everyday behaviors. Here's Part II of a catalog of deviousness based on functional fixedness. Available here and by RSS on July 25.

And on August 1: Strategies of Verbal Abusers

Verbal abuse at work has special properties, because it takes place in an environment in which verbal abuse is supposedly proscribed. Yet verbal abuse does happen at work. Here are three strategies abusers rely on to avoid disciplinary action. Available here and by RSS on August 1.

Coaching services

I offer email and telephone coaching at both corporate and individual rates. Contact Rick for details at rbrengpHrlXUHRgHSKpWnner@ChacwBoYiEbkZMRhPyhuoCanyon.com or (650) 787-6475, or toll-free in the continental US at (866) 378-5470.

Get the ebook!

Past issues of Point Lookout are available in six ebooks:

• Get 2001-2 in Geese Don't Land on Twigs (PDF, USD 11.95)
• Get 2003-4 in Why Dogs Wag (PDF, USD 11.95)
• Get 2005-6 in Loopy Things We Do (PDF, USD 11.95)
• Get 2007-8 in Things We Believe That Maybe Aren't So True (PDF, USD 11.95)
• Get 2009-10 in The Questions Not Asked (PDF, USD 11.95)
• Get all of the first twelve years (2001-2012) in The Collected Issues of Point Lookout (PDF, USD 28.99)

Are you a writer, editor or publisher on deadline? Are you looking for an article that will get people talking and get compliments flying your way? You can have 500 words in your inbox in one hour. License any article from this Web site. More info

Public seminars

The Power Affect: How We Express Our Personal Power

Many people who possess real organizational power have a characteristic demeanor. It's the way they project their presence. I call this the power affect. Some people — call them power pretenders — adopt the power affect well before they attain significant organizational power. Unfortunately for their colleagues, and for their organizations, power pretenders can attain organizational power out of proportion to their merit or abilities. Understanding the power affect is therefore important for anyone who aims to attain power, or anyone who works with power pretenders. Read more about this program.

• A recording of a program presented 6:00 PM June 29 (Eastern Time), Monthly Webinar, Technobility Webinar Series. You can earn 1.0 Category 'A' PDU by viewing this program. View this program now.