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Task Allocation And Division of Labor (Variable Threshold)

This article discusses the concept of specialization with fixed thresholds in task allocation and division of labor. It highlights the limitations of fixed systems and proposes a variable threshold model that can overcome these limitations. The model takes into account factors such as age, learning, and forgetting, and allows for specialization within a population. The article also explores optimization strategies and the advantages of the variable threshold model over fixed systems.

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Task Allocation And Division of Labor (Variable Threshold)

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  1. Task Allocation And Division of Labor (Variable Threshold) By Greg Wilke and Jason Osborn

  2. Yesterday and Today • Discussed specialization with fixed thresholds. • Fixed systems have limits. • Variable systems can overcome limitations of fixed systems.

  3. Limitations of Fixed Systems • Can’t handle genesis of task allocation, including temporal polyethism. • Can’t account for strong task specialization within castes

  4. More Limitations • Only valid over sufficiently short time scales. • Recent experiments with honey bees show that age and/or learning affect task allocation.

  5. Adjusting-Threshold Model • Same as before except thresholds now vary with age. • Threshold limits dependent on tasks performed. • Lowered when task is performed • Raised when task is not performed

  6. Learning and forgetting ξ and φ are the coefficients of learning and forgetting, respectively

  7. Accounting for tasks performed Let Xij be the fraction of time spent on task j.

  8. What does it mean? • Specialization can occur within an initially Homogeneous population • Individuals become more specialized as they perform the same task • If for some reason the task cannot be or does not need to be performed, individuals re-specialize.

  9. Optimization • Adjust the rate that an ant forgets information. • If φ<0.4, all specialists. • If φ>2, no specialists.

  10. Major Advantages • Removal of Ants with lower thresholds alters the thresholds of higher ants. • Fixed systems cannot respond to the change in demand.

  11. Questions?

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