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Article

On the Inventory Model with Two Delaying Barriers

Gaziantep University, Faculty of Arts and Sciences, Department of Mathematics, 24130, Gaziantep
Math. Comput. Appl. 2007, 12(3), 125-134; https://doi.org/10.3390/mca12030125
Published: 1 December 2007

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

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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. https://doi.org/10.3390/mca12030125

AMA Style

Unver I. On the Inventory Model with Two Delaying Barriers. Mathematical and Computational Applications. 2007; 12(3):125-134. https://doi.org/10.3390/mca12030125

Chicago/Turabian Style

Unver, Ihsan. 2007. "On the Inventory Model with Two Delaying Barriers" Mathematical and Computational Applications 12, no. 3: 125-134. https://doi.org/10.3390/mca12030125

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