Theory of linear and integer programming
Theory of linear and integer programming
The pointwise stationary approximation for M1/M1/s
Management Science
Strong approximations for Markovian service networks
Queueing Systems: Theory and Applications
Designing a Call Center with Impatient Customers
Manufacturing & Service Operations Management
A Call-Routing Problem with Service-Level Constraints
Operations Research
Commissioned Paper: Telephone Call Centers: Tutorial, Review, and Research Prospects
Manufacturing & Service Operations Management
A Method for Staffing Large Call Centers Based on Stochastic Fluid Models
Manufacturing & Service Operations Management
Dynamic Routing in Large-Scale Service Systems with Heterogeneous Servers
Queueing Systems: Theory and Applications
Queueing Systems: Theory and Applications
A Staffing Algorithm for Call Centers with Skill-Based Routing
Manufacturing & Service Operations Management
Fluid Models for Multiserver Queues with Abandonments
Operations Research
Queueing Systems: Theory and Applications
Optimal Control of a High-Volume Assemble-to-Order System
Mathematics of Operations Research
Call-Routing Schemes for Call-Center Outsourcing
Manufacturing & Service Operations Management
A Staffing Algorithm for Call Centers with Skill-Based Routing
Manufacturing & Service Operations Management
Queueing Systems: Theory and Applications
A time-varying call center design via lagrangian mechanics
Probability in the Engineering and Informational Sciences
Forecast errors in service systems
Probability in the Engineering and Informational Sciences
Pointwise Stationary Fluid Models for Stochastic Processing Networks
Manufacturing & Service Operations Management
Cross-Selling in a Call Center with a Heterogeneous Customer Population
Operations Research
Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools
Mathematics of Operations Research
On a Data-Driven Method for Staffing Large Call Centers
Operations Research
Service Interruptions in Large-Scale Service Systems
Management Science
Bid-Price Controls for Network Revenue Management: Martingale Characterization of Optimal Bid Prices
Mathematics of Operations Research
Control of systems with flexible multi-server pools: a shadow routing approach
Queueing Systems: Theory and Applications
The cμ/θ Rule for Many-Server Queues with Abandonment
Operations Research
Shadow-Routing Based Control of Flexible Multiserver Pools in Overload
Operations Research
Robust Design and Control of Call Centers with Flexible Interactive Voice Response Systems
Manufacturing & Service Operations Management
Dynamic Pricing with Financial Milestones: Feedback-Form Policies
Management Science
Does the Erlang C model fit in real call centers?
Proceedings of the Winter Simulation Conference
A Fluid Limit for an Overloaded X Model via a Stochastic Averaging Principle
Mathematics of Operations Research
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This paper analyzes a call center model with m customer classes and r agent pools. The model is one with doubly stochastic arrivals, which means that the m-vector of instantaneous arrival rates is allowed to vary both temporally and stochastically. Two levels of call center management are considered: staffing the r pools of agents, and dynamically routing calls to agents. The system managers objective is to minimize the sum of personnel costs and abandonment penalties. We consider a limiting parameter regime that is natural for call centers and relatively easy to analyze, but apparently novel in the literature of applied probability. For that parameter regime, we prove an asymptotic lower bound on expected total cost, which uses a strikingly simple distillation of the original system data. We then propose a method for staffing and routing based on linear programming (LP), and show that it achieves the asymptotic lower bound on expected total cost; in that sense the proposed method is asymptotically optimal.