Alfa Attahiru Sule

Attahiru Sule Alfa

Information about the author Attahiru Sule Alfa will soon be added to the site.
Found 36 papers in total
Efficient computations for the discrete GI/G/1 system
2007
We consider the discrete–time GI/G/1 system with discrete interarrival...
Two classes of time-inhomogeneous Markov chains: Analysis of the periodic case
2008
We consider the M/G/1 and GI/M/1 types of Markov chains for which their one step...
Discrete-time analysis of the GI/G/1 system with Bernoulli retrials: An algorithmic approach
2006
In this paper, we show that the discrete GI/G/1 system with Bernoulli retrials can be...
Response time in a tandem queue with blocking, Markovian arrivals and phase-type services
2005
A novel approach for obtaining the response time in a discrete-time tandem-queue with...
An expectation maximization (EM) algorithm for platoon arrival processes in discrete time
2005
The platoon arrival process (PAP), a special case of Markovian arrival process (MAP),...
An M/PH/k retrial queue with finite number of sources
2004
We study retrial queues with a finite source of customers and identical multiple...
Markov chain representations of discrete distributions applied to queueing models
2004
We present applications of Markov chain based representations of discrete renewal...
Loss probability in an overloaded discrete-time GI/G/1/K system with very large K
2004
We present a simple semi-explicit formula for estimating the loss probability in a...
Discrete time analysis of MAP/PH/1 multiclass general preemptive priority queue
2003
We use the matrix-geometric method to study the MAP / PH /1 general preemptive...
Perturbation theory for the asymptotic decay rates in the queues with Markovian arrival process and/or Markovian service process
2000
Three kinds of queues with Markovian arrival process and/or Markovian service process,...
Waiting time distribution of the MAP/D/k system in discrete time – a more efficient algorithm
2003
We show that the discrete time MAP/D/k presented by Chaudhry et al . has a special...
Matrix analytic methods for a multi-server retrial queue with buffer
1999
We present numerical methods for obtaining the stationary distribution of states for...
Overload analysis of the PH/PH/1/K queue and the queue of the M/G/1/K type with very large K
2000
We consider the PH/PH/ 1/ K queue and the queue of M/G/ 1 type with very large buffer...
On approximating higher order Markovian arrival processes (MAPs) with MAPs of order two
2000
We show that the autocorrelation sequence of interarrival times for a Markovian...
Computational analysis of MMAP[K]/PH[>K]/ 1 queues with a mixed FCFS and LCFS service discipline
2000
This paper studies a queueing system with a Markov arrival process with marked...
Optimal policies for M/M/m queue with two different kinds of (N,T)-policies
2000
In this paper, two different kinds of ( N , T )-policies for an M/M/m queueing system...
Supplementary variable technique in stochastic models
2000
In this article, we formalize the framework for the supplementary variable technique...
The MMAP[K]/PH[K]/1 queues with a last-come-first-served preemptive service discipline
1998
This paper studies two queueing systems with a Markov arrival process with marked...
Discrete time analysis of MAP/PH/1 vacation queue with gated time-limited service
1998
We analyse a single-server queue in which the server goes through alternating periods...
The quasi-birth–death type Markov chain with a tree structure
1999
In this paper, we extend the notion of the quasi-birth–death (QBD) Markov chain...
Approximation method for M/PH/1 retrial queues with phase type inter-retrial times
1999
We obtain a stability condition and develop a method for approximating the stationary...
Matrix-geometric solution of discrete time MAP/PH/1 priority queue
1998
We use the matrix-geometric method to study the discrete time MAP/PH/1 priority queue...
Discrete NT-policy single server queue with Markovian arrival process and phase type service
1996
We consider a discrete time single server queueing system in which arrivals are...
Algorithms for computing waiting time distributions under different queue disciplines for the D-BMAP/PH/1
1997
A queueing system characterized by the discrete batch Markovian arrival process...
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