Answer to an open problem about stochastic comparison of parallel systems with geometric components

Mahmoud Affouf; Jiantian Wang

doi:10.1016/j.orl.2023.02.001

Answer to an open problem about stochastic comparison of parallel systems with geometric components

Mahmoud Affouf, Jiantian Wang

Mathematics

Kean University

Research output: Contribution to journal › Article › peer-review

Abstract

Mao and Hu [5] left an open problem about the hazard rate order between two parallel systems of n geometric components. Du et al. [3] solved the problem for n=2. Wang [6] gave the answer to the problem for n up to 9. In this short note, we solve the open problem for any n.

Original language	English
Pages (from-to)	176-178
Number of pages	3
Journal	Operations Research Letters
Volume	51
Issue number	2
DOIs	https://doi.org/10.1016/j.orl.2023.02.001
State	Published - Mar 2023

Keywords

Hazard rate order
Parallel system
Stochastic comparison

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10.1016/j.orl.2023.02.001

Cite this

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title = "Answer to an open problem about stochastic comparison of parallel systems with geometric components",

abstract = "Mao and Hu [5] left an open problem about the hazard rate order between two parallel systems of n geometric components. Du et al. [3] solved the problem for n=2. Wang [6] gave the answer to the problem for n up to 9. In this short note, we solve the open problem for any n.",

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author = "Mahmoud Affouf and Jiantian Wang",

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year = "2023",

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doi = "10.1016/j.orl.2023.02.001",

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AU - Affouf, Mahmoud

AU - Wang, Jiantian

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N2 - Mao and Hu [5] left an open problem about the hazard rate order between two parallel systems of n geometric components. Du et al. [3] solved the problem for n=2. Wang [6] gave the answer to the problem for n up to 9. In this short note, we solve the open problem for any n.

AB - Mao and Hu [5] left an open problem about the hazard rate order between two parallel systems of n geometric components. Du et al. [3] solved the problem for n=2. Wang [6] gave the answer to the problem for n up to 9. In this short note, we solve the open problem for any n.

KW - Hazard rate order

KW - Parallel system

KW - Stochastic comparison

UR - https://www.scopus.com/pages/publications/85148030005

U2 - 10.1016/j.orl.2023.02.001

DO - 10.1016/j.orl.2023.02.001

M3 - Article

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VL - 51

SP - 176

EP - 178

JO - Operations Research Letters

JF - Operations Research Letters

IS - 2

ER -

Answer to an open problem about stochastic comparison of parallel systems with geometric components

Abstract

Keywords

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