The Longer Queue Model

DOI10.1017/S0269964800001376zbMath1134.60395MaRDI QIDQ3415951

Leopold Flatto

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 (12)

Asymptotic Analysis of Two Coupled Queues with Vastly Different Arrival Rates and Finite Customer Capacities ⋮ The Tail Behavior of a Longest-Queue-Served-First Queueing System: A Random Walk in the Half Plane ⋮ Quasi-Birth-and-Death Processes, Lattice Path Counting, and Hypergeometric Functions ⋮ Stationary analysis of the shortest queue problem ⋮ Rare event asymptotics for a random walk in the quarter plane ⋮ A 3-queue polling system with join the shortest-serve the longest policy ⋮ Queue-length balance equations in multiclass multiserver queues and their generalizations ⋮ Repair systems with exchangeable items and the longest queue mechanism ⋮ On the nonsymmetric longer queue model: joint distribution, asymptotic properties, and heavy traffic limits ⋮ Two coupled queues with vastly different arrival rates: critical loading case ⋮ Martingales and buffer overflow for the symmetric shortest queue model ⋮ A polling system with `join the shortest -- serve the longest' policy

Cites Work

• A two-queue, one-server model with priority for the longer queue
• Boundary value problems in queueing theory
• Two queues in parallel
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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