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Math. Comput. Appl. 2007, 12(3), 125-134; doi:10.3390/mca12030125

On the Inventory Model with Two Delaying Barriers

Gaziantep University, Faculty of Arts and Sciences, Department of Mathematics, 24130, Gaziantep
Published: 1 December 2007
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Abstract

In this paper the process of semi-Markovian random walk with negative drift under angle α (0° < α < 90°), and positive jumps with probability ρ (0 < ρ < 1) having two delaying screens at level zero and a (a > 0) is constructed. The exact expressions for Laplace transforms of the distributions of the first moments in order to reach to these screens by the process and, in particularly, the expectations and the variances of indicated distributions are obtained.
Keywords: Semi-Markovian random walk; inventory level; delaying screen; positive jumps; Laplace transforms Semi-Markovian random walk; inventory level; delaying screen; positive jumps; Laplace transforms
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Unver, I. On the Inventory Model with Two Delaying Barriers. Math. Comput. Appl. 2007, 12, 125-134.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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