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Erlang distributed activity times in stochastic activity networks

Yousry H. Abdelkader (2003)

Kybernetika

It is assumed that activity times in stochastic activity networks (SANs) are independent Erlang random variable (r.v.). A recurrence method of determining the k th moments of the completion time is presented. Applications are provided for illustration and are used to evaluate the applicability and appropriateness of the Erlang model to represent activity network.

Estimates for the arctangent function related to Shafer's inequality

Cristinel Mortici, H. M. Srivastava (2014)

Colloquium Mathematicae

The aim of this article is to give new refinements and sharpenings of Shafer's inequality involving the arctangent function. These are obtained by means of a change of variables, which makes the computations much easier than the classical approach.

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