Optimal control of an M/G/1 queuing system with removable server via diffusion approximation

DOI10.1016/0377-2217(81)90009-6zbMath0466.90028OpenAlexW1985359608MaRDI QIDQ1155503

Toshikazu Kimura

Publication date: 1981

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(81)90009-6

zbMATH Keywords

diffusion approximationremovable servercalculation of probabilistic characteristicscharacterization of the optimal operating policyM/G/1 queuing system

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Diffusion processes (60J60) Probabilistic methods, stochastic differential equations (65C99)

Related Items (21)

Optimal design and control of queues ⋮ Control of a symmetrical redundant service channel using indirect observations of the queue ⋮ Analysis and computational algorithm for queues with state-dependent vacations. I: \newline \(G/M(n)/1/K\) ⋮ Analysis and computational algorithm for queues with state-dependent vacations. II: \newline \(M(n)/G/1/K\) ⋮ A continuous approximation for batch arrival queues with threshold ⋮ An \(M/G/1\) queue under hysteretic vacation policy with an early startup and un-reliable server ⋮ Analytical and computational aspects of the infinite buffer single server \(N\) policy queue with batch renewal input ⋮ Optimal control of a removable and non-reliable server in an infinite and a finite \(M/H_2/1\) queueing system ⋮ Optimal management of the \(N\)-policy \(M/E_{k}/1\) queuing system with a removable service station: A sensitivity investigation. ⋮ Optimal policies for a controlled queueing system with removable server under a random vacation circumstance ⋮ Optimal control of an \(M/G/1/K\) queueing system with combined \(F\) policy and startup time ⋮ A recursive method for the \(F\)-policy \(G/M/1/K\) queueing system with an exponential startup time ⋮ A discrete-time single-server queue with a modifiedN-policy ⋮ Bi-level control for batch arrival queues with an early startup and un-reliable server ⋮ A unifying diffusion model for state-dependent queues ⋮ Optimal management for infinite capacityN-policy M/G/1 queue with a removable service station ⋮ On the optimal control of M/G/1 systems under the cycle criterion ⋮ A recursive method for the \(N\) policy \(G/M/1\) queueing system with finite capacity ⋮ A recursive method to the optimal control of an M/G/1 queueing system with finite capacity and infinite capacity ⋮ Maximum entropy analysis to the \(N\) policy M/G/1 queueing system with a removable server ⋮ Control of the service process in a queueing system

Cites Work

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• Inventory control with two switch-over levels for a class of M/G/1 queueing systems with variable arrival and service rate
• A Diffusion Model Approximation for the GI/G/1 Queue in Heavy Traffic
• On a Switch-Over Policy for Controlling the Workload in a Queueing System with Two Constant Service Rates and Fixed Switch-Over Costs
• On a switch-over policy for controlling the workload in a queueing system with two constant service rates and fixed switch-over costs
• DIFFUSION APPROXIMATION FOR GI/G/1 QUEUING SYSTEMS WITH FINITE CAPACITY : I-THE FIRST OVERFLOW TIME
• Optimal Operating Policies for M/G/1 Queuing Systems
• Optimal Average-Cost Policy for a Queue with Start-Up and Shut-Down Costs
• Characterization and Computation of Optimal Policies for Operating an M/G/1 Queuing System with Removable Server

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