Monotonicity of the Loss Probabilities of Single Server Finite Queues with Respect to Convex Order of Arrival or Service Processes

DOI10.1017/S026996480000187XzbMath1134.60402MaRDI QIDQ3415994

Masakiyo Miyazawa, J. George Shanthikumar

Publication date: 19 January 2007

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

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (5)

Convexity of single stage queueing systems with bulk arrival ⋮ Simple analytical solutions for the , , and related queues ⋮ Error bounds for state space truncation of finite Jackson networks ⋮ Relationships in stationary jump processes with countable state space and their applications to queues ⋮ The effect of service time variability on maximum queue lengths in M^X/G/1 queues

Cites Work

• Temporal stochastic convexity and concavity
• Queueing systems with vacations - a survey
• Stochastic convexity and its applications

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