Advanced Queuing Theory Analysis

Advanced queuing theory analysis applies mathematical models of waiting lines to real-world service systems—call centers, hospitals, banks—where the cost of idle capacity and the cost of long waits must be balanced against each other under uncertain, fluctuating demand. Researchers study how staffing levels, routing rules, and scheduling policies interact to determine whether a system remains stable or collapses into congestion, with particular attention to behavior under heavy traffic, where classical approximations often break down. Open questions include how to make staffing decisions in real time when arrival rates are unknown or nonstationary, and how to fairly allocate service capacity across competing customer classes without sacrificing overall efficiency. Work at the intersection of stochastic optimization and data-driven operations is pushing toward models that can adapt dynamically as conditions change, rather than relying on steady-state assumptions that rarely hold in practice.

Works

55,576

Total citations

639,635

Keywords

Call CenterQueueing SystemsService SystemsWorkload ManagementStaffing OptimizationPatient Flow