scientific article
From MaRDI portal
Publication:3662408
zbMath0515.60092MaRDI QIDQ3662408
Publication date: 1983
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sums of independent random variables; random walks (60G50) Queueing theory (aspects of probability theory) (60K25) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)
Related Items
On the structure and solutions of functional equations arising from queueing models ⋮ A queueing model with two classes of retrial customers and paired services ⋮ The kernel method tail asymptotics analytic approach for stationary probabilities of two-dimensional queueing systems ⋮ Counting quadrant walks via Tutte's invariant method ⋮ Asymptotics for the late arrivals problem ⋮ Martin boundary of random walks in convex cones ⋮ Interacting queues with server selection and coordinated scheduling-application to cellular data networks ⋮ A note on solutions of a functional equation arising in a queuing model for a LAN gateway ⋮ Walks in the quarter plane: Analytic approach and applications ⋮ Erlang arrivals joining the shorter queue ⋮ Wireless three-hop networks with stealing. II: Exact solutions through boundary value problems ⋮ On a numerical method for calculating state probabilities for queueing systems with more than one waiting line ⋮ Probability of total domination for transient reflecting processes in a quadrant ⋮ Some thoughts on the analysis of coupled queues ⋮ First exit time for a discrete-time parallel queue ⋮ Two processes interacting only during breakdown: The case where the load is not lost ⋮ Analysis of the asymmetric shortest queue problem ⋮ On the optimization of two-class work-conserving parameterized scheduling policies ⋮ The shorter queue polling model ⋮ Invariant measures and error bounds for random walks in the quarter-plane based on sums of geometric terms ⋮ Processor-sharing queues: Some progress in analysis ⋮ Queueing with redundant requests: exact analysis ⋮ Shortest expected delay routing for Erlang servers ⋮ Wiener-Hopf analysis of an M/G/1 queue with negative customers and of a related class of random walks ⋮ Analysis of the \(M/GI/1\to ./M/1\) queueing model ⋮ Parallel exponential queues with dependent service rates ⋮ A RANDOM ACCESS G-NETWORK: STABILITY, STABLE THROUGHPUT, AND QUEUEING ANALYSIS ⋮ Queues and Risk Models with Simultaneous Arrivals ⋮ A two-queue, one-server model with priority for the longer queue ⋮ The torus related Riemann problem ⋮ Boundary value problems in queueing theory ⋮ Analysis of a tripartite entanglement distribution switch ⋮ Constructing discrete harmonic functions in wedges ⋮ A Retrial Queue to Model a Two-Relay Cooperative Wireless System with Simultaneous Packet Reception ⋮ Analysis of the symmetric join the shortest orbit queue ⋮ Power series approximations for two-class generalized processor sharing systems ⋮ Approximating the mean response time of parallel queues with JSQ policy ⋮ On open problems in polling systems ⋮ Rare event asymptotics for a random walk in the quarter plane ⋮ Steady-state analysis of shortest expected delay routing ⋮ A tandem queueing model with coupled processors. ⋮ Some first passage time problems for the shortest queue model ⋮ THE INVARIANT MEASURE OF RANDOM WALKS IN THE QUARTER-PLANE: REPRESENTATION IN GEOMETRIC TERMS ⋮ A TWO-CLASS RETRIAL SYSTEM WITH COUPLED ORBIT QUEUES ⋮ Repair systems with exchangeable items and the longest queue mechanism ⋮ Matrix geometric approach for random walks: Stability condition and equilibrium distribution ⋮ Convergence of the collocation method and the mechanical quadrature method for systems of singular integro-differential equations in Lebesgue spaces ⋮ On the nonsymmetric longer queue model: joint distribution, asymptotic properties, and heavy traffic limits ⋮ The Riemann-Hilbert problem for certain poly domains and its connection to the Riemann problem ⋮ Analysis of a discrete-time two-class randomly alternating service model with Bernoulli arrivals ⋮ Comments on: ``Queueing models for the analysis of communication systems ⋮ Strict monotonicity and continuity of mean unfinished work in two queues sharing a server ⋮ Tail asymptotics for a generalized two-demand queueing model -- a kernel method ⋮ Mathematical problems in the theory of processor-sharing queueing systems ⋮ A bivariate risk model with mutual deficit coverage ⋮ On the Shortest Queue Version of the Erlang Loss Model ⋮ COMPUTATION OF STEADY-STATE PROBABILITIES FOR RESOURCE-SHARING CALL-CENTER QUEUEING SYSTEMS ⋮ Analysis of two queues in parallel with jockeying and restricted capacities ⋮ Stability of Multi-Dimensional Birth-and-Death Processes with State-Dependent 0-Homogeneous Jumps ⋮ Numerical solution for system of Cauchy type singular integral equations with its error analysis in complex plane ⋮ Stability of parallel queueing systems with coupled service rates ⋮ Discrete time \(GI/Geom/1\) queueing system with priority ⋮ About a possible analytic approach for walks in the quarter plane with arbitrary big jumps ⋮ Geometric Decay in a QBD Process with Countable Background States with Applications to a Join-the-Shortest-Queue Model ⋮ Two coupled queues with vastly different arrival rates: critical loading case ⋮ Asymptotically optimal parallel resource assignment with interference ⋮ Analysis of generalized processor-sharing systems with two classes of customers and exponential services ⋮ An approximate numerical method for solving Cauchy singular integral equations composed of multiple implicit parameter functions with unknown integral limits in contact mechanics ⋮ Interacting queues in heavy traffic ⋮ A tandem queue with coupled processors: Computational issues ⋮ On the infinite server shortest queue problem: non-symmetric case ⋮ Exact tail asymptotics in a priority queue -- characterizations of the preemptive model ⋮ Flow-level performance and capacity of wireless networks with user mobility ⋮ ON THE INFINITE SERVER SHORTEST QUEUE PROBLEM: SYMMETRIC CASE ⋮ A two-class queueing system with constant retrial policy and general class dependent service times ⋮ q-SERIES IN MARKOV CHAINS WITH BINOMIAL TRANSITIONS ⋮ Fluid queues with synchronized output ⋮ Random walks in the quarter plane, discrete harmonic functions and conformal mappings ⋮ A retrial system with two input streams and two orbit queues ⋮ ON THE ANALYTICAL SOLUTION OF A TWO-PLACE FUNCTIONAL EQUATION ⋮ Transient analysis of two queues in parallel with jockeying ⋮ On partially homogeneous nearest-neighbour random walks in the quarter plane and their application in the analysis of two-dimensional queues with limited state-dependency ⋮ Necessary conditions for the compensation approach for a random walk in the quarter-plane ⋮ Upper estimates for inhomogeneous random walks confined to the positive orthant ⋮ On walks avoiding a quadrant ⋮ Discrete harmonic functions in the three-quarter plane ⋮ Stochastic decompositions in bivariate risk and queueing models with mutual assistance ⋮ Two coupled Levy queues with independent input ⋮ Tandem Conveyor Queues ⋮ The Longer Queue Model ⋮ The Equilibrium Distribution for a Clocked Buffered Switch ⋮ On the roughness of the paths of RBM in a wedge ⋮ A SURVEY OF THE EVOLUTION OF QUEUEING THEORY ⋮ Two parallel insurance lines with simultaneous arrivals and risks correlated with inter-arrival times ⋮ Upper and lower bounds for the waiting time in the symmetric shortest queue system ⋮ An application of Gegenbauer polynomials in queueing theory ⋮ Stationary analysis of certain Markov-modulated reflected random walks in the quarter plane ⋮ Approximations for the performance evaluation of a discrete-time two-class queue with an alternating service discipline ⋮ A coupled processor model with simultaneous arrivals and ordered service requirements ⋮ The generalized join the shortest orbit queue system: stability, exact tail asymptotics and stationary approximations ⋮ Workload analysis of a two-queue fluid polling model ⋮ Stationary Brownian motion in a \(3 / 4\)-plane: reduction to a Riemann-Hilbert problem via Fourier transforms ⋮ A finite compensation procedure for a class of two-dimensional random walks ⋮ Harmonic functions for singular quadrant walks ⋮ Asymptotic behavior of a system of two coupled queues when the content of one queue is very high ⋮ Editorial