On the value function of the M/Cox(r)/1 queue

DOI10.1239/JAP/1152413728zbMath1101.93089OpenAlexW2083422274MaRDI QIDQ3410920

Sandjai Bhulai

Publication date: 16 November 2006

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1152413728

zbMATH Keywords

Poisson equationvalue functionCoxian distributionone-step policy improvementoptimal routeingM/Cox\((r)/1\) queue

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

Related Items (7)

Waiting time based routing policies to parallel queues with percentiles objectives ⋮ Routing jobs with deadlines to heterogeneous parallel servers ⋮ Optimal Routing of Fixed Size Jobs to Two Parallel Servers ⋮ Size- and state-aware dispatching problem with queue-specific job sizes ⋮ On the Value Function of the M/G/1 FCFS and LCFS Queues ⋮ Dispatching to parallel servers. Solutions of Poisson's equation for first-policy improvement ⋮ Level product form QSF processes and an analysis of queues with <scp>C</scp> oxian interarrival distribution

Uses Software

• EMpht

Cites Work

• Separable routing: A scheme for state-dependent routing of circuit switched telephone traffic
• On the uniqueness of solutions to the Poisson equations for average cost Markov chains with unbounded cost functions
• An explicit solution for the value function of a priority queue
• A heuristic rule for routing customers to parallel servers
• On the structure of value functions for threshold policies in queueing models
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