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Article
Performance and Optimization Analysis of a Queue with Delayed Uninterrupted Multiple Vacation and N-Policy
This paper considers an M/G/1 queue with delayed uninterrupted multiple vacation and N-policy, in which (i) the server remains dormant from vacation to a non-empty system with no more than N customers, and (ii) w...
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Article
Analysis of a renewal batch arrival queue with a fault-tolerant server using shift operator method
Motivated by the fault tolerance for manufacturing, we investigate a renewal input bulk arrival queue with a fault-tolerant server, in which the server can keep working with a low service rate even if the part...
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Article
The improvement upon the reliability of the k-out-of-n:F system with the repair rates differentiation policy
A manufacturing system includes not only the production system but also a repair facility. With increasing number of repairs, the repaired components will become more fragile and need more time to repair when ...
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Article
Analysis of the Sojourn Time Distribution for M/GL/1 Queue with Bulk-Service of Exactly Size L
This paper presents a simple algorithm for computing the cumulative distribution function of the sojourn time of a random customer in an M/GL/1 queue with bulk-service of exactly size L. Both theoretical and nume...
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Article
The structure of departure process and optimal control strategy N* for Geo/G/1 discrete-time queue with multiple server vacations and Min(N, V)-Policy
This paper considers the departure process and the optimal control strategy for a discretetime Geo/G/1 queueing model in which the system operates under the control of multiple server vacations and Min(N, V)-poli...
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Article
Optimal replacement policy based on maximum repair time for a random shock and wear model
We study a \(\delta \) δ ...
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Article
Analysis of a discrete-time \(Geo^{\lambda _1,\lambda _2}/G/1\) queue with N-policy and D-policy
This paper explores a discrete-time Geo / G / 1 queueing system with N-policy and D-policy wherein customers arrive at the system in variable input rates according to the states of the server. When the system bec...
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Article
Queue size distribution of Geo/G/1 queue under the Min(N,D)-policy
This paper considers a discrete-time Geo/G/1 queue under the Min(N,D)-policy in which the idle server resumes its service if either N customers accumulate in the system or the total backlog of the service times o...
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Article
Analysis of an M/G/1 queue with N-policy, single vacation, unreliable service station and replaceable repair facility
This paper considers an M/G/1 repairable queueing system with N-policy and single vacation, in which the service station is subject to random breakdowns. Once the service station breaks down, it is repaired by a ...
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Article
Computation and transient analysis of a k-out-of-n:G repairable system with general repair times
This paper considers a k-out-of-n:G repairable system, in which the working times and repair times of components are governed by exponential distributions and general distributions, respectively. Applying the sem...
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Article
Reliability indices of discrete-time Geox/G/1 queueing system with unreliable service station and multiple adaptive delayed vacations
This paper considers the discrete-time GeoX/G/1 queueing model with unreliable service station and multiple adaptive delayed vacations from the perspective of reliability research. Following problems will be disc...
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Article
The recursive solution of queue length for Geo/G/1 queue with N-policy
This paper considers a discrete-time queue with N-policy and LAS-DA (late arrival system with delayed access) discipline. By using renewal process theory and probability decomposition techniques, the authors deri...
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Article
Geom/G1, G2/1/1 repairable Erlang loss system with catastrophe and second optional service
This paper studies a single server discrete-time Erlang loss system with Bernoulli arrival process and no waiting space. The server in the system is assumed to provide two different types of services, namely e...
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Article
Transient Queue Size Distribution Solution of Geom / G / 1 Queue with Feedback-A Recursive Method
This paper considers the Geom / G / 1 queueing model with feedback according to a late arrival system with delayed access (LASDA). Using recursive method, this paper studies the transient property of the queue si...
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Article
On The Transient Departure Process of M x /G/1 Queueing System with Single Server Vacation
This paper studies the transient departure process of M x /G/1 queueing system with single server vacation. We present a simple probability decomposition...
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Article
Transient solution for queue-length distribution of Geometry/G/1 queueing model
In this paper, the Geometry/G/1 queueing model with inter-arrival times generated by a geometric(parameter p) distribution according to a late arrival system with delayed access and service times independently di...
