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Scheduling tasks with failure probabilities to minimize expected cost

Mordechai I. Henig and David Simchi‐Levi

Naval Research Logistics (NRL), 1990, vol. 37, issue 1, 99-109

Abstract: A project is made of several tasks which can be executed in parallel. Each task is associated with performance cost and failure probability. If all tasks succeed a reward is obtained. We suggest a dynamic programming algorithm to solve the problem of scheduling the tasks in order to maximize the expected discounted profit. We show that the general problem is NP‐complete, but that there are cases where the dynamic programming algorithm is polynomially bounded.

Date: 1990
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https://doi.org/10.1002/1520-6750(199002)37:13.0.CO;2-5

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