Diffusion approximation for \(GI/G/1\) controlled queues
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Publication:1205367
DOI10.1007/BF01158808zbMath0760.60087MaRDI QIDQ1205367
Michael I. Taksar, Elena V. Krichagina
Publication date: 1 April 1993
Published in: Queueing Systems (Search for Journal in Brave)
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Diffusion processes (60J60)
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Cites Work
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- Stochastic differential equations with reflecting boundary condition in convex regions
- Reflected Brownian motion on an orthant
- Optimal correction problem of a multidimensional stochastic system
- Diffusion approximation for a queue in a multi-server system with multistage service
- Optimal and Approximately Optimal Control Policies for Queues in Heavy Traffic
- Instantaneous Control of Brownian Motion
- Open Queueing Networks in Heavy Traffic
- Connections between Optimal Stopping and Singular Stochastic Control I. Monotone Follower Problems
- Average Optimal Singular Control and a Related Stopping Problem
- Connections Between Optimal Stopping and Singular Stochastic Control II. Reflected Follower Problems
- Stochastic differential equations with reflecting boundary conditions
- Nearly Optimal State Feedback Controls for Stochastic Systems with Wideband Noise Disturbances
- Nearly Optimal Singular Controls for Wideband Noise Driven Systems
- Some solvable stochastic control problemst†
- Limit theorems for pathwise average cost per unit time problems for controlled queues in heavy traffic
- Optimal Operation of an M/G/1 Priority Queue with Removable Server
- A class of singular stochastic control problems
- Queuing With Fixed and Variable Channels
- On queueing systems with variable service capacities
- Complements to heavy traffic limit theorems for the GI/G/1 queue
- Stochastic Order Relationships Between GI/G/k Systems
- Semi-Markov Decision Processes with Unbounded Rewards
- On lipschitz continuity of the solution mapping to the skorokhod problem, with applications
- Numerical Methods for Stochastic Control Problems in Continuous Time
