Kassoum Traore Processing Time of an Application in a Stochastic Hiring Model

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Department of Mathematics

Prairie View A&M University, Prairie View, TX

COLLOQUIUM

Kassoum Traore

kasstraore@live.com

Graduate Student at Prairie view A&M

Presents

Processing Time of an Application in a

Stochastic Hiring Model

Mentor: Dr. A.M. Haghighi

When: Friday, December 06, 2013

Time: 2 pm

Where: W.R. Banks Building -309

Abstract

In this study, we consider a hiring process as a network queueing model with three stages. Applications arrive at the first stage in batches of variable sizes according to

Poisson process and are compiled in a box. The batches of variable sizes (within a given minimum and maximum) are processed by a single-processor according to exponential distribution. The accepted portion of each processed batch moves to the second stage, the interview phase, and are piled in another box. The interviews are conducted according to

Erlang phase type; each phase according to exponential distribution. The successful applications are, then, directed to the final stage, hiring phase. We use two different probability distributions for the batch size of the model. We find the mean, variance and the waiting time at each stage. A particular case of interest is discussed. A numerical example is also provided in each stage.

Questions: contact Dr. Natali Hritonenko nahritonenko@pvamu.edu

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