Processor-sharing queues: some progress in analysis
Queueing Systems: Theory and Applications
G-Networks: Development of the Theory of Multiplicative Networks
Automation and Remote Control
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Processor sharing: A survey of the mathematical theory
Automation and Remote Control
Asymptotic expansions for the conditional sojourn time distribution in the M/M/1-PS queue
Queueing Systems: Theory and Applications
The M/G/1 processor-sharing queue with disasters
Computers & Mathematics with Applications
Waiting times for M/M systems under state-dependent processor sharing
Queueing Systems: Theory and Applications
Automation and Remote Control
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We derive the Laplace-Stiltjes transforms of busy period and sojourn time distributions in the M/G/1 queue with egalitarian processor sharing (EPS) and the possibility of (external) catastrophes. Each arrival of the catastrophes immediately removes all the positive jobs (and hence unfinished work) in this non work-conserving queueing system. One of the main results is obtained by means of the so-called method of decomposition into delay elements introduced by the first author.