A Dynamic Model for Managing Volunteer Engagement

• 成果类型: Article
• 署名作者: Ata, Baris; Tongarlak, Mustafa H.; Lee, Deishin; Field, Joy
• 署名单位: University of Chicago; Bogazici University; Western University (University of Western Ontario); Boston College
• 刊物名称: OPERATIONS RESEARCH
• ISSN/ISSBN: 0030-364X
• DOI: 10.1287/opre.2021.0419
• 发表日期: 2024
• 关键词: heavy-traffic analysis; open processing networks; parallel-server system; service rate control; Asymptotic Optimality; scheduling networks; multiclass queue; channel subject; power-control; arrival

摘要

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.