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- W2141358880 abstract "Abstract : The method of omni-equations along with the conservation method is well-suited to the treatment of the process 'unfinished work'--or 'backlog' for terseness--in the model M/G/1. Since some partial results have also been obtained for the more general model G/G/1 we shall start with G/g/1 under steady-state conditions. Throughout this paper linear omni-equations will be subject to the omni-convention, i.e., it will be understood that the expectation is taken of each side of the omni-equation with respect to each random variable. An analogy was pointed out between the process 'waiting time in M/G/1' and the process 'toss a coin till 'heads' show up' where the tossing time is a random variable. The omni-calculus also sheds some light on the model G/G/1. Keywords include: Backlog, Omni-transform, Single-channel queue, Free-copy, Removal equations, Mixtures, Residual time, Omni-equation." @default.
- W2141358880 created "2016-06-24" @default.
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- W2141358880 date "1985-02-01" @default.
- W2141358880 modified "2023-09-27" @default.
- W2141358880 title "The Omni-Transform in Single-Channel Queues." @default.
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