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Featured researches published by Abdukerim Haji.


Analysis and Applications | 2010

SEMIGROUP METHODS FOR A PARALLEL MAINTENANCE SYSTEM WITH TWO COMPONENTS

Abdukerim Haji; Bilikiz Yunus

By using the theory of C0-semigroups and spectral theory of positive operators, we prove well-posedness of the parallel maintenance system with two components and study the asymptotic behavior of the time-dependent solution.


international conference on industrial control and electronics engineering | 2012

Asymptotic Stability of a Parallel Maintenance System with Two Components

Abdukerim Haji

In this paper, we study the dynamic solution of a parallel maintenance system with two components. By analyzing the spectral distribution of the system operator, we prove that the dynamic solution converges strongly to the steady-state solution, thus we obtain the asymptotic stability of the system.


Key Engineering Materials | 2012

Well-Posedness of the Gnedenko System with Multiple Vacations

Bilikiz Yunus; Abdukerim Haji

We investigate the solution of the Gnedenko system with multiple vacation of a repairman. By using-semigroup theory of linear operators, we prove well-posedness and the existence of the unique positive dynamic solution of the system.


Semigroup Forum | 2007

A Semigroup Approach to Queueing Systems

Abdukerim Haji; Agnes Radl


Computers & Mathematics With Applications | 2007

Asymptotic stability of the solution of the M/MB/1 queueing model

Abdukerim Haji; Agnes Radl


Journal of Applied Mathematics and Physics | 2015

Well-Posedness of Gaver's Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations

Abdukerim Haji; Bilikiz Yunus


Semigroup Forum | 2013

A semigroup approach to the Gnedenko system with single vacation of a repairman

Abdukerim Haji; Agnes Radl


Journal of Applied Mathematics and Physics | 2016

Existence and Uniqueness of the Dynamic Solution of a Series-Parallel Repairable System Consisting of Three-Unit with Multiple Vacations of a Repairman

Abdukerim Haji; Tursunjan Keyim; Bilikiz Yunus


international conference on applied mathematics | 2017

Well-posedness of the Gnedenko System with Multiple Delay Vacations of a Repairman

Mahsut Rozi; Abdukerim Haji; Abdugeni Osman


Journal of Applied Mathematics and Physics | 2017

Asymptotic Stability of a Series-Parallel Repairable System Consisting of Three-Unit with Multiple Vacations of a Repairman

Tursunjan Keyim; Abdukerim Haji

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