DEPARTURE PROCESSES FROM GI/GI/\infty AND GI/GI/c/c WITH SMOOTHED ARRIVALS

DOI10.17654/AM098040215zbMath1428.60133OpenAlexW2805700989MaRDI QIDQ5208627

Taro Tokuda, Fumiaki Machihara

Publication date: 8 January 2020

Published in: Far East Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/am098040215

zbMATH Keywords

entropysecond law of thermodynamicsdeparture processconventional behavior\(\mathrm{GI}/\mathrm{GI}/\infty\)\(\mathrm{GI}/\mathrm{GI}/c/c\)smoothed arrival

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Measures of information, entropy (94A17)

Related Items (3)

DOES THE MORE VARIABLE INTER-ARRIVAL TIME INCREASE THE CONGESTION IN THE INFINITELY MANY SERVERS SYSTEM AND THE LOSS SYSTEM? ⋮ DEPARTURE PROCESSES FROM GI/GI/\infty AND GI/GI/c/c WITH SMOOTHED ARRIVALS ⋮ MAXIMUM BLOCKING PROBABILITY IN GI/GI/cc SYSTEMS WITH BURSTY ARRIVALS

Cites Work

• Markov chain models - rarity and exponentiality
• Some related paradoxes of queuing theory: new cases and a unifying explanation
• PHASE-TYPE COMPLETELY MONOTONIC ARRIVALS CAUSE PARADOXICAL BEHAVIOR
• HYPEREXPONENTIAL WAITING TIME STRUCTURE IN HYPEREXPONENTIAL H_K/H_L/1 SYSTEMS
• DEPARTURE PROCESSES FROM GI/GI/\infty AND GI/GI/c/c WITH SMOOTHED ARRIVALS
• Elements of Information Theory
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