Mathematics – Optimization and Control
Scientific paper
2010-10-07
Mathematics
Optimization and Control
8 pages, Submitted to American Controls Conference, San Francisco, CA, June 2011
Scientific paper
We consider the optimal duration allocation in a decision making queue. Decision making tasks arrive at a given rate to a human operator. The correctness of the decision made by human evolves as a sigmoidal function of the duration allocated to the task. Each task in the queue loses its value continuously. We elucidate on this trade-off and determine optimal policies for the human operator. We show the optimal policy requires the human to drop some tasks. We present a receding horizon optimization strategy, and compare it with the greedy policy.
Bullo Francesco
Carli Ruggero
Langbort Cédric
Srivastava Vaibhav
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