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arXiv · 2506.06900

Sequencing, task failures, and capacity when failures are driven by a non-homogeneous Poisson process

Lingjiong Zhu·Anand Paul·Haldun Aytug
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Abstract

We study the optimal sequencing of a batch of tasks on a machine subject to random disruptions driven by a non-homogeneous Poisson process (NHPP), such that every disruption requires the interrupted task to be re-processed from scratch, and partially completed work on a disrupted task is wasted. The NHPP models random disruptions whose frequency varies systematically with time. In general the time taken to process a given batch of tasks depends on the order in which the tasks are processed. We find conditions under which the simplest possible sequencing rules - shortest processing time first (SPT) and longest processing time first (LPT) - suffice to minimize the completion time of a batch of tasks.

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Lingjiong Zhu, Anand Paul, Haldun Aytug. 2025-06-07. Sequencing, task failures, and capacity when failures are driven by a non-homogeneous Poisson process. https://arxiv.org/abs/2506.06900

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