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I am lookig for statistical papers on task prioritisation problems. In particular I am looking for solutions to the following problem or slight variations thereof:

You have a set of tasks, each with a known value and a known deadline. The time it takes to complete a task is a random variable with a known distribution (for example an exponential distribution). If you don't complete a task before its deadline you lose its value. Each time you complete a task or exceed its deadline you get to pick the next one. Which selection strategy minimises the expected loss?

My google searches have so far just brought up useless blah blah about time management, but maybe I'm searching for the wrong keywords. Any pointers would be greatly appreciated.

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