Optimization via trunk reservation in single resource loss systems under heavy traffic

DOI10.1214/AOAP/1043862424zbMath0890.60088OpenAlexW2015861993MaRDI QIDQ1379722

P. J. Hunt, C. N. Laws

Publication date: 23 June 1998

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1043862424

zbMATH Keywords

optimizationtime-scale separationtrunk reservationloss network

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Optimal stochastic control (93E20) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (11)

A Theory of Auto-Scaling for Resource Reservation in Cloud Services ⋮ OPTIMAL ADMISSION AND ROUTING WITH CONGESTION-SENSITIVE CUSTOMER CLASSES ⋮ Large deviations of mean-field interacting particle systems in a fast varying environment ⋮ Optimal trunk reservation for an overloaded link ⋮ On equilibrium analysis of acyclic multiclass loss networks under admission control ⋮ Asymptotically exact analysis of a loss network with channel continuity ⋮ Asymptotic analysis of a loss model with trunk reservation. I: Trunks reserved for fast traffic ⋮ Exponential penalty function control of loss networks ⋮ Optimality of randomized trunk reservation for a problem with a single constraint ⋮ Asymptotic Analysis of a Loss Model with Trunk Reservation II: Trunks Reserved for Slow Traffic ⋮ Optimal Admission Controls for Erlang's Loss System with Phase-Type Arrivals

Cites Work

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• Asymptotic analysis of single resource loss systems in heavy traffic, with applications to integrated networks
• Pathological behaviour in loss networks
• A Queueing Reward System with Several Customer Classes
• A paradox of congestion in a queuing network

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