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Maximum Entropy
This chapter presents the principle of maximum entropy, which furnishes a practical method for the generation of distributions. The representation of...
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Some reflected autoregressive processes with dependencies
Motivated by queueing applications, we study various reflected autoregressive processes with dependencies. Among others, we study cases where the...
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Polling: past, present, and perspective
This is a survey on polling systems, focussing on the basic single-server multi-queue polling system in which the server visits the queues in cyclic...
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Performance Analysis of 2-Point Explicit Group (2-EG) Method for Solving Second-Order Composite Closed Newton-Cotes Quadrature System
In this paper, the effectiveness of 2-Point Explicit Group (2-EG) iterative method with second-order composite closed Newton-Cotes (2-CCNC)...
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Hilbert transform, spectral filters and option pricing
We show how spectral filters can improve the convergence of numerical schemes which use discrete Hilbert transforms based on a sinc function...
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The cyclic queue and the tandem queue
We consider a closed queueing network, consisting of two FCFS single server queues in series: a queue with general service times and a queue with...
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Modeling a case of herding behavior in a multi-player game
The system mentioned in the title belongs to the family of the so-called massively multi-player online social games. It features a scoring system for...
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A retrial system with two input streams and two orbit queues
Two independent Poisson streams of jobs flow into a single-server service system having a limited common buffer that can hold at most one job. If a...
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The Seven Pillars of the Analytic Hierarchy Process
The Analytic Hierarchy Process (AHP) provides the objective mathematics to process the inescapably subjective and personal preferences of an...
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Power series approximations for two-class generalized processor sharing systems
We develop power series approximations for a discrete-time queueing system with two parallel queues and one processor. If both queues are nonempty, a...
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Differential transform method for mathematical modeling of jamming transition problem in traffic congestion flow
In this paper we aim to find an analytical solution for jamming transition in traffic flow. Generally the Jamming Transition Problem (JTP) can be...
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Newton–Tau Method
Many applied problems have their natural mathematical setting as integral and integro-differential equations, thus they usually have the advantage of...
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Sojourn times in (discrete) time shared systems and their continuous time limits
We study the mean sojourn times in two M/G/1 weighted round-robin systems: the weight of a customer at any given point in time in the first system is...
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A non-increasing Lindley-type equation
In this paper we study the Lindley-type equation W =max {0, B − A − W }. Its main characteristic is that it is a non-increasing monotone function in its...
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On bulk-service MAP/PHL,N/1/N G-Queues with repeated attempts
We consider a retrial queue with a finite buffer of size N , with arrivals of ordinary units and of negative units (which cancel one ordinary unit),...
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A Tandem Queue with Coupled Processors: Computational Issues
In Resing and Örmeci [16] it is shown that the two-stage tandem queue with coupled processors can be solved using the theory of boundary value...
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A MAP/G/1 Queue with Negative Customers
In this paper, we consider a MAP / G /1 queue with MAP arrivals of negative customers, where there are two types of service times and two classes of...