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Worker Allocation Models with Learning and Forgetting

current models take too long to run, so we suggest an approximation to shorten run times and expand their use.

Austin Chacosky

on 12 April 2013

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Transcript of Worker Allocation Models with Learning and Forgetting

12 1 2 3 6 9 11 10 4 5 7 8 Worker Allocation Models with
Learning and Forgetting ~ Austin Chacosky Pitcher 1st Base Tom Mark 40 65 72 Compare 87 2012 Roster # Name Position Tom Mark John Ruby Andy Jason Mike Cliff Benny 3 36 57 5 71 2 4 15 8 PITCHER 1ST BASE SHORT-STOP LEFT FIELD 3RD BASE RIGHT FIELD 2ND BASE CATCHER CENTER FIELD What if we take learning rate into account? Pitcher 1st Base Tom Mark 40 + 10 every game 65 + 9 every game 72 + 4 every game 87 + 2 every game Buffer 1 Task 4 Task 2 Task 3 Task 1 Buffer 2 Buffer 3 Work for a task is drawn from the buffer of the previous task in a work flow pattern Dr. David A. Nembhard and Bryan A. Norman created a model that incorporates learning and forgetting into worker assignment decisions Workers are assigned to task on a per period basis Productivity Work Period Workers learn as they perform tasks and their productivity increases as a function of their learning and forgetting characteristics and their starting productivity. 1 1 2 2 3 3 4 5 5 4 Productivity Work Period As the number of workers increases, the solve times increases exponentially 12 1 2 3 6 9 11 10 4 5 7 8 12 1 2 3 6 9 11 10 4 5 7 8 How to approximate learning and forgetting Solve for D for each worker
for each productivity levels ijk Assign workers to productivity levels when workers have been assign to a task D times Results: Drastic reductions in solve time while maintaining solution quality
Average objective value deviation of 4.06% Impacts of Research Tip Economic
Affluence This is a huge mountain Reduce planning time from hours to minutes
Increase management flexibilty to daily workforce absenteeism
Increased total productivity of workforce Questions? Worker allocation models:
assign the workers to tasks in an ideal way
organize a workforce
incourage high worker utilization LFCM
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