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Scheduling with Testing

Retsef Levi (), Thomas Magnanti () and Yaron Shaposhnik ()
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Retsef Levi: Sloan School of Management, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Thomas Magnanti: Sloan School of Management, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139; and Singapore University of Technology and Design, Singapore 138682
Yaron Shaposhnik: Simon Business School, University of Rochester, Rochester, New York 14627

Management Science, 2019, vol. 65, issue 2, 776-793

Abstract: We study a new class of scheduling problems that capture common settings in service environments, in which one has to serve a collection of jobs that have a priori uncertain attributes (e.g., processing times and priorities) and the service provider has to decide how to dynamically allocate resources (e.g., people, equipment, and time) between testing (diagnosing) jobs to learn more about their respective uncertain attributes and processing jobs. The former could inform future decisions, but could delay the service time for other jobs, while the latter directly advances the processing of the jobs but requires making decisions under uncertainty. Through novel analysis we obtain surprising structural results of optimal policies that provide operational managerial insights, efficient optimal and near-optimal algorithms, and quantification of the value of testing. We believe that our approach will lead to further research to explore this important practical trade-off.

Keywords: scheduling; dynamic programming; service operations; approximation algorithms (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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