A Dynamic Model for Managing Volunteer Engagement

Baris Ata (), Mustafa H. Tongarlak (), Deishin Lee () and Joy Field ()
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Baris Ata: Booth School of Business, University of Chicago, Chicago, Illinois 60637
Mustafa H. Tongarlak: Boğaziçi University, Bebek, 34342 Beşiktaş/Istanbul, Turkey
Deishin Lee: Ivey Business School at Western University, London, Ontario N6G 0N1, Canada
Joy Field: Carroll School of Management, Boston College, Chestnut Hill, Massachusetts 02467

Operations Research, 2024, vol. 72, issue 5, 1958-1975

Abstract: Nonprofit organizations that provide food, shelter, and other services to people in need, rely on volunteers to deliver their services. Unlike paid labor, nonprofit organizations have less control over unpaid volunteers’ schedules, efforts, and reliability. However, these organizations can invest in volunteer engagement activities to ensure a steady and adequate supply of volunteer labor. We study a key operational question of how a nonprofit organization can manage its volunteer workforce capacity to ensure consistent provision of services. In particular, we formulate a multiclass queueing network model to characterize the optimal engagement activities for the nonprofit organization to minimize the costs of enhancing volunteer engagement, while maximizing productive work done by volunteers. Because this problem appears intractable, we formulate an approximating Brownian control problem in the heavy traffic limit and study the dynamic control of that system. Our solution is a nested threshold policy with explicit congestion thresholds that indicate when the nonprofit should optimally pursue various types of volunteer engagement activities. A numerical example calibrated using data from a large food bank shows that our dynamic policy for deploying engagement activities can significantly reduce the food bank’s total annual cost of its volunteer operations while still maintaining almost the same level of social impact. This improvement in performance does not require any additional resources—it only requires that the food bank strategically deploy its engagement activities based on the number of volunteers signed up to work volunteer shifts. Supplemental Material: The e-companion is available at https://doi.org/10.1287/opre.2021.0419 .

Keywords: Policy Modeling and Public Sector OR; volunteer; food bank; food insecurity; dynamic control (search for similar items in EconPapers)
Date: 2024
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