OPTIMALITY OF TRUNK RESERVATION FOR AN M/M/K/N QUEUE WITH SEVERAL CUSTOMER TYPES AND HOLDING COSTS

DOI10.1017/S0269964811000179zbMath1254.90044MaRDI QIDQ2884253

Fenghsu Yang, Eugene A. Feinberg

Publication date: 24 May 2012

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

zbMATH Keywords

Markov decision processtrunk reservationcustomer classesstationary optimal policyaverage rewardsbias optimal policy\(M/M/k/N\)Blackwell optimal policiescanonical optimal policy

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Markov and semi-Markov decision processes (90C40)

Related Items

OPTIMAL ADMISSION AND ROUTING WITH CONGESTION-SENSITIVE CUSTOMER CLASSES ⋮ On the optimality of a maintenance queueing system ⋮ Bias optimality of admission control in a non-stationary repairable queue ⋮ An Overview for Markov Decision Processes in Queues and Networks ⋮ Optimality of admission control in a repairable queue ⋮ Optimality of admission control in an M∕M∕1∕N queue with varying services ⋮ Optimal pricing for a \(\mathrm{GI}/\mathrm{M}/k/N\) queue with several customer types and holding costs

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