Routing and Staffing When Servers Are Strategic

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چکیده

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ar X iv : 1 40 2 . 36 06 v 1 [ cs . G T ] 1 4 Fe b 20 14 Routing and Staffing when Servers are Strategic

Traditionally, research focusing on the design of routing and staffing policies for service systems has modeled servers as having fixed (possibly heterogeneous) service rates. However, service systems are generally staffed by people. Furthermore, people respond to workload incentives; that is, how hard a person works can depend both on how much work there is, and how the work is divided between...

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Routing and Staffing in Large-Scale Service Systems: The Case of Homogeneous Impatient Customers and Heterogeneous Servers

Motivated by call centers, we study large-scale service systems with homogeneous impatient customers and heterogeneous servers. The servers differ with respect to their speed of service. For this model, we propose staffing and routing rules that are jointly asymptotically optimal as the system approaches the heavy-traffic many-server QED regime. Our routing rule is FSF, which assigns customers ...

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Technical Appendix for: Routing and Staffing in Large-Scale Service Systems: The Case of Homogeneous Impatient Customers and Heterogeneous Servers

Proof of Proposition 3.1: We prove the Proposition using sample-path coupling arguments. Consider two coupled systems both with the same initial conditions, and the same sequence of arrivals. System 1 operates under an arbitrary policy π ∈ Πp while System 2 operates under FSFp. For all t ≥ 0 and i = 1, 2, let Q(t), Y (t), and Ab(t) be the queue length at time t, the head-count at this time, and...

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Online Companion for: Routing and Staffing in Large-Scale Service Systems: The Case of Homogeneous Impatient Customers and Heterogeneous Servers

This online companion serves as a technical appendix to the above paper. It includes some general description of the system dynamics, and details the proof of the various results stated in the body of the paper. A System Dynamics and Fluid Model In this section we describe the dynamics of the system in terms of its flow balance equations. We also describe the fluid model associated with the QED...

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ژورنال

عنوان ژورنال: Operations Research

سال: 2016

ISSN: 0030-364X,1526-5463

DOI: 10.1287/opre.2016.1506