STABILITY AND PERFORMANCE OF STACK ALGORITHMS FOR RANDOM ACCESS COMMUNICATION MODELED AS A TREE STRUCTURED QBD MARKOV CHAIN
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Publication:2746221
DOI10.1081/STM-100002273zbMath1017.90009MaRDI QIDQ2746221
Benny Van Houdt, Chris Blondia
Publication date: 10 October 2001
Published in: Stochastic Models (Search for Journal in Brave)
Communication networks in operations research (90B18) Combinatorial probability (60C05) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (8)
Solving nonlinear matrix equations arising in tree-like stochastic processes. ⋮ A Fixed Point Approach to the Classification of Markov Chains with a Tree Structure ⋮ On preemptive-repeat LIFO queues ⋮ The classification of matrix GI/M/1-type Markov chains with a tree structure and its applications to queueing ⋮ Tree Structured QBD Markov Chains and Tree‐Like QBD Processes ⋮ Throughput and delay analysis of an opportunistic tree algorithm ⋮ On the link between Markovian trees and tree-structured Markov chains ⋮ Age process, workload process, sojourn times, and waiting times in a discrete time SM[K/PH[K]/1/FCFS queue]
Cites Work
- Classification of Markov processes of M/G/1 type with a tree structure and its applications to queueing models
- Tree algorithms for packet broadcast channels
- Analysis of a stack algorithm for random multiple-access communication
- Estimating the multiplicities of conflicts to speed their resolution in multiple access channels
- Statistical multiplexing of VBR sources: A matrix-analytic approach
- The quasi-birth-death type markov chain with a tree structure
- Matrix product-form solutions for Markov chains with a tree structure
- Classification of Markov Processes of Matrix M/G/l type with a Tree Structure and its Applications to the MMAP[K/G[K]/1 Queues]
- A generalization of the matrix M/G/l paradigm for Markov chains with a tree structure
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