Optimal Control of a Two-Station Brownian Network

DOI10.1287/moor.15.2.215zbMath0714.90042OpenAlexW2035755977MaRDI QIDQ3200866

Lawrence M. Wein

Publication date: 1990

Published in: Mathematics of Operations Research (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1721.1/48696

zbMATH Keywords

singular control problemmulticlass queueing networksheavy traffic analysisBrownian network

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Linear programming (90C05) Stochastic network models in operations research (90B15) Deterministic scheduling theory in operations research (90B35) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Deterministic network models in operations research (90B10) Application models in control theory (93C95) Optimal stochastic control (93E20) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (12)

Numerical methods for controlled and uncontrolled multiplexing and queueing systems ⋮ Control and scheduling in a two-station queueing network: Optimal policies and heuristics ⋮ Scheduling in a multi-class series of queues with deterministic service times ⋮ Using information about machine failures to control flowlines ⋮ On scheduling a multiclass queue with abandonments under general delay costs ⋮ Controlled and optimally controlled multiplexing systems: A numerical exploration ⋮ On the improvement from scheduling a two-station queueing network in heavy traffic ⋮ A review of open queueing network models of manufacturing systems ⋮ Dynamic scheduling in manufacturing systems using Brownian approximations ⋮ Bounds on the Mean Delay in Multiclass Queueing Networks under Shortfall-Based Priority Rules ⋮ Optimal control of assignment of jobs to processors under heavy traffic ⋮ Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling

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