Duality properties of a one-dimensional random walk and a new computational algorithm

Duality properties of a one-dimensional random walk and a new computational algorithm

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Article ID: iaor1991274
Country: Netherlands
Volume: 44
Issue: 3
Start Page Number: 414
End Page Number: 423
Publication Date: Feb 1990
Journal: European Journal of Operational Research
Authors: ,
Keywords: queues: theory
Abstract:

Several dual problems are presented of a one-dimensional random walk in the presence of at least one boundary. These lead to a simple but computationally stable algorithm for finding the equilibrium probabilities of the original random walk using a ‘reduced’ difference equation. An application of its use in the theory of risk is given.

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