An application of modern control theory to a time-dependent queuing system for optimal operation

DOI10.1080/00207727908941611zbMath0411.49009OpenAlexW2000628331MaRDI QIDQ4199306

Mansoor Alam

Publication date: 1979

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207727908941611

zbMATH Keywords

conjugate gradient algorithmoptimal operationBang-bangclosed-loop service policytime-dependent queuing system

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence of optimal solutions to problems involving randomness (49J55)

Cites Work

• Unnamed Item
• The conjugate gradient method for optimal control problems with bounded control variables
• Applying a New Device in the Optimization of Exponential Queuing Systems
• Optimum Maintenance Policy for an Equipment Subject to Deterioration and Random Failure
• A Simple Approximation to the Average Queue Size in the Time-Dependent M/M/1 Queue
• Optimal maintenance policy for equipment subject to random deterioration and random failure A modern control theory approach
• An Application of Optimal Control Theory to Repairman Problem with Machine Interference
• Characterization and Computation of Optimal Policies for Operating an M/G/1 Queuing System with Removable Server
• Optimal Control of a Service Facility with Variable Exponential Service Times and Constant Arrival Rate

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