Optimal control of a deterministic multiclass queuing system for which several queues can be served simultaneously

DOI10.1016/J.SYSCONLE.2011.04.010zbMath1222.49042OpenAlexW1995506132MaRDI QIDQ553382

Jacobus E. Rooda, Stefan Lämmer, Erjen Lefeber

Publication date: 27 July 2011

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.04.010

zbMATH Keywords

optimal control\(\mu c\)-rulemulticlass queuing systemsimultaneous service

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Queues and service in operations research (90B22)

Related Items (1)

Optimal routeing in two-queue polling systems

Uses Software

• MPT

Cites Work

• A simplex based algorithm to solve separated continuous linear programs
• K competing queues with geometric service requirements and linear costs: The \(\mu\) c-rule is always optimal
• An algorithm for multi-parametric quadratic programming and explicit MPC solutions
• Interchange arguments in stochastic scheduling
• Two competing queues with linear costs and geometric service requirements: the μc-rule is often optimal
• The cμ rule revisited
• The explicit linear quadratic regulator for constrained systems

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