Admission control for a multi-server queue with abandonment

DOI10.1007/S11134-010-9176-ZzbMath1247.90103OpenAlexW1987066066MaRDI QIDQ5962129

Yaşar Levent Koçağa, Amy R. Ward

Publication date: 16 September 2010

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11134-010-9176-z

zbMATH Keywords

Markov decision processadmission controlaverage costcustomer abandonmentdiffusion control problemHalfin-Whitt QED limit regime

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (21)

OPTIMAL ADMISSION AND ROUTING WITH CONGESTION-SENSITIVE CUSTOMER CLASSES ⋮ Service Systems with Slowdowns: Potential Failures and Proposed Solutions ⋮ On scheduling a multiclass queue with abandonments under general delay costs ⋮ Approximate Description of Dynamics of a Closed Queueing Network Including Multi-servers ⋮ Abandonment versus blocking in many-server queues: asymptotic optimality in the QED regime ⋮ Dynamic policy for idling time preservation ⋮ Ergodic control of multi-class \(\mathrm{M}/\mathrm{M}/N+\mathrm{M}\) queues in the Halfin-Whitt regime ⋮ Dynamic control of a single-server system with abandonments ⋮ Optimal admission control for many-server systems with QED-driven revenues ⋮ On the Taylor Expansion of Value Functions ⋮ An approximating diffusion control problem for dynamic admission and service rate control in a $G/ M / N + G$ queue ⋮ Controlling the Running Maximum of a Diffusion Process and an Application to Queueing Systems ⋮ Service Rate and Admission Control in an M/G/1 Queue with State-Dependent Arrival Rates ⋮ An Overview for Markov Decision Processes in Queues and Networks ⋮ Fluid approximations and control of queues in emergency departments ⋮ Convergence of a queueing system in heavy traffic with general patience-time distributions ⋮ Dimensioning a queue with state-dependent arrival rates ⋮ Age-based Markovian approximation of the G/M/1 queue ⋮ Late-rejection, a strategy to perform an overflow policy ⋮ Optimal service rate perturbations of many server queues in heavy traffic ⋮ Optimal admission control in queues with abandonments

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