Adaptive service rate control of an $M/M/1$ queue with server breakdowns

DOI10.1007/S11134-023-09900-ZzbMATH Open1537.60124MaRDI QIDQ6542675

Guodong Pang, Yi Zheng, Juxihong Julaiti

Publication date: 22 May 2024

Published in: Queueing Systems (Search for Journal in Brave)

Markov decision process $M/M/1$ queue server breakdowns service rate control finite or infinite capacity adaptive (self-tuning) control discounted and long-run average (ergodic) cost criteria

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Optimal stochastic control (93E20) Stochastic learning and adaptive control (93E35) Markov and semi-Markov decision processes (90C40)

Cites Work

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Optimal arrival rate and service rate control of multi-server queues
Dynamic admission and service rate control of a queue
Optimal buffer size and dynamic rate control for a queueing system with impatient customers in heavy traffic
An analog of the minimax theorem for vector payoffs
Optimal adaptive control of priority assignment in queueing systems
Adaptive control of service in queueing systems
Heavy-traffic limits for many-server queues with service interruptions
A finite algorithm for $\epsilon$-optimal solutions of adaptive queueing control
Quasi-likelihood and its application. A general approach to optimal parameter estimation
Adaptive control of a partially observed discrete time Markov process
An approximating diffusion control problem for dynamic admission and service rate control in a $G/ M / N + G$ queue
The Kumar-Becker-Lin scheme revisited
Optimal scheduling of critically loaded multiclass $GI/m/n+m$ queues in an alternating renewal environment
On nearly self-optimizing strategies for a discrete-time uniformly ergodic adaptive model
Fundamentals of Matrix-Analytic Methods
Dynamic Pricing with an Unknown Demand Model: Asymptotically Optimal Semi-Myopic Policies
Dynamic Pricing Without Knowing the Demand Function: Risk Bounds and Near-Optimal Algorithms
Dynamic Control of an M/M/1 Service System with Adjustable Arrival and Service Rates
Service Interruptions in Large-Scale Service Systems
Recursive self-tuning control of finite Markov chains
Adaptive control of Markov chains, I: Finite parameter set
Average Cost Semi-Markov Decision Processes and the Control of Queueing Systems
Dynamic Control of a Queue with Adjustable Service Rate
Optimal time to repair a broken server
Optimal adaptive controllers for unknown Markov chains
Identification and Adaptive Control of Markov Chains
Applying a New Device in the Optimization of Exponential Queuing Systems
On adaptive control of Markov chains using nonparametric estimation
Dynamic service rate control for a single-server queue with Markov-modulated arrivals
Nonparametric Learning Algorithms for Joint Pricing and Inventory Control with Lost Sales and Censored Demand
OPTIMAL CONTROL POLICIES FOR AN M/M/1 QUEUE WITH A REMOVABLE SERVER AND DYNAMIC SERVICE RATES
Diffusion Approximations for G/M/n + GI Queues with State-Dependent Service Rates
Nonparametric Self-Adjusting Control for Joint Learning and Optimization of Multiproduct Pricing with Finite Resource Capacity
Convergence and Approximation of Optimization Problems
Dynamic Power Control in a Wireless Static Channel Subject to a Quality-of-Service Constraint
Queuing with Preemptive Priorities or with Breakdown
Optimality Inequalities for Average Cost Markov Decision Processes and the Stochastic Cash Balance Problem
Prediction, Learning, and Games
Semi-Markov Decision Processes with Unbounded Rewards
Some Queuing Problems with the Service Station Subject to Breakdown
Technical Note—Nonparametric Data-Driven Algorithms for Multiproduct Inventory Systems with Censored Demand
Admission control for a multi-server queue with abandonment

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Adaptive service rate control of an \(M/M/1\) queue with server breakdowns