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Equilibrium Strategies in an Unobservable On-off Fluid Queue
This paper considers an on-off fluid queue model. The on and off states of the system appear alternately, and the sojourn times at these two...
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On the Strong Approximation for a Simple Reentrant Line in Light Traffic Under First-buffer First-served Service Discipline
For a 2-station and 3-class reentrant line under first-buffer first-served (FBFS) service discipline in light traffic, we firstly construct the...
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Variability Analysis for a Two-station Queueing Network in Heavy Traffic with Arrival Processes Driven by Queues
The law of the iterated logarithm (LIL) for the performance measures of a two-station queueing network with arrivals modulated by independent queues...
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Transient Analysis of an M/M/1 Queueing System Subjected to Multiple Differentiated Vacations, Impatient Customers and a Waiting Server with Application to IEEE 802.16E Power Saving Mechanism
An M / M /1 queueing system subjected to multiple differentiated vacations, customer impatience and a waiting server is analyzed. The explicit transient...
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Fluid Model Modulated by an M/M/1 Working Vacation Queue with Negative Customer
This paper investigates a fluid model driven by an M/M/1 queue with working vacations and RCE (Removal of customer in the end) policy of negative...
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Adjoining batch Markov arrival processes of a Markov chain
A batch Markov arrival process (BMAP) X * = ( N, J ) is a 2-dimensional Markov process with two components, one is the counting process N and the other...
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Analysis of queues in a random environment with impatient customers
We study M / M / c queues ( c = 1, 1 < c < ∞ and c = ∞) in a Markovian environment with impatient customers. The arrivals and service rates are modulated...
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Numerical algorithm for solving multi-pantograph delay equations on the half-line using Jacobi rational functions with convergence analysis
A new spectral Jacobi rational-Gauss collocation (JRC) method is proposed for solving the multi-pantograph delay differential equations on the...
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On feedback queueing system with reneging and retention of reneged customers, multiple working vacations and Bernoulli schedule vacation interruption
This paper presents an analysis of a Markovian feedback queueing system with reneging and retention of reneged customers, multiple working vacations...
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Multiple solutions for a quasilinear second order differential equation depending on a parameter
The purpose of this paper is to use a very recent three critical points theorem due to Bonanno and Marano to establish the existence of at least...
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Asymptotic variability analysis for multi-server generalized Jackson network in overloaded
The asymptotic variability analysis is studied for multi-server generalized Jackson network. It is characterized by law of the iterated logarithm ...
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Convergence to the rarefaction wave for a model of radiating gas in one-dimension
In this paper, a sequence of solutions to the one-dimensional motion of a radiating gas are constructed. Furthermore, when the absorption coefficient α ...
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Applications of a few Lie algebras
Two isomorphic groups R 2 andM are firstly constructed. Then we extend them into the differential manifold R 2n and n products of the group M for...
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Robust M-estimate of GJR model with high frequency data
In this paper, we study the GJR scaling model which embeds the intraday return processes into the daily GJR model and propose a class of robust M -esti...
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Global smooth solutions to relativistic Euler-Poisson equations with repulsive force
In this paper, we are concerned with the global existence of smooth solutions for the one dimensional relativistic Euler-Poisson equations. Combining...
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Existence of pseudo-almost automorphic solutions for nonlinear differential equations
In this paper, we discuss the existence of pseudo-almost automorphic solutions to linear differential equation which has an exponential trichotomy,...
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Momentum effect differs across stock performances: Chinese evidence
Prior empirical studies find positive and negative momentum effect across the global nations, but few focus on explaining the mixed results. In order...
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L 2-Decay rate for non-ergodic Jackson network
We establish the additive theorem of L 2 -decay rate for multidimensional Markov process with independent marginal processes. Using this and the...
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Performance of the (BMAP1, BMAP2)/(PH1, PH2)/N retrial queueing system with finite buffer
This paper consider the (BMAP 1 , BMAP 2 )/(PH 1 , PH 2 )/N retrial queue with finite-position buffer. The behavior of the system is described in terms of...
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A repairable Geo X /G/1 retrial queue with Bernoulli feedback and impatient customers
This paper deals with a discrete-time batch arrival retrial queue with the server subject to starting failures. Different from standard batch arrival...