Fundamentals of Matrix-Analytic Methods
From MaRDI portal
Publication:2840907
DOI10.1007/978-1-4614-7330-5zbMath1278.68013OpenAlexW633278723MaRDI QIDQ2840907
Publication date: 23 July 2013
Full work available at URL: https://doi.org/10.1007/978-1-4614-7330-5
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to probability theory (60-01) Queueing theory (aspects of probability theory) (60K25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Research exposition (monographs, survey articles) pertaining to computer science (68-02)
Related Items (85)
Estimating the earthquake occurrence rates in Corinth Gulf (Greece) through Markovian arrival process modeling ⋮ A new class of lifetime distributions ⋮ Generalized sooner waiting time problems in a sequence of trinary trials ⋮ Queues with Markovian arrivals, phase type services, breakdowns, and repairs ⋮ A new look at a smart polling model ⋮ On SIR-models with Markov-modulated events: length of an outbreak, total size of the epidemic and number of secondary infections ⋮ Conditional multivariate distributions of phase-type for a finite mixture of Markov jump processes given observations of sample path ⋮ Efficient analysis of the MMAP[\(K\)/PH[\(K\)]/1 priority queue] ⋮ Complex multi-state systems modelled through marked Markovian arrival processes ⋮ Error Bounds for Augmented Truncations of Discrete-Time Block-Monotone Markov Chains under Subgeometric Drift Conditions ⋮ A family of induced distributions ⋮ A simple compound scan statistic useful for modeling insurance and risk management problems ⋮ On a many-to-many matched queueing system with flexible matching mechanism and impatient customers ⋮ Compound geometric distribution of order \(k\) ⋮ A multiple warm standby repairable system under N-policy with multiple vacations following Markovian arrival process ⋮ Performance analysis and system optimization of an energy-saving mechanism in cloud computing with correlated traffic ⋮ Phase type stress–strength models with reliability applications ⋮ Modeling systems with two dependent components under bivariate shock models ⋮ STATIONARY MARKOVIAN ARRIVAL PROCESSES: RESULTS AND OPEN PROBLEMS ⋮ A Tree-Structured Markovian Model of the Shipment Consolidation Process ⋮ Generalized extreme shock models and their applications ⋮ On lattice path counting and the random product representation, with applications to the \(E_r/M/1\) queue and the \(M/E_r/1\) queue ⋮ A Markovian arrival stream approach to stochastic gene expression in cells ⋮ On the exact reproduction number in SIS epidemic models with vertical transmission ⋮ Shock models based on renewal processes with matrix Mittag-Leffler distributed inter-arrival times ⋮ Consecutive dual failure mode shock systems ⋮ A Markovian epidemic model in a resource-limited environment ⋮ Modelling the variation and uncertainty problem of right-turn-on-red queue in a variety of conflicting environments ⋮ A geometric convergence formula for the level-increment-truncation approximation of \(M/G/1\)-type Markov chains ⋮ Matrix-Analytic Methods for Solving Poisson’s Equation with Applications to Markov Chains of GI/G/1-Type ⋮ On properties of the phase-type mixed Poisson process and its applications to reliability shock modeling ⋮ Performance analysis and cost investigations for state-dependent single unreliable server finite queue under \(F\)-policy using GA and QNM ⋮ SIR-type epidemic models as block-structured Markov processes ⋮ Three-level modeling of a speed-scaling supercomputer ⋮ Analysis and optimization of hybrid replenishment policy in a double-sources queueing-inventory system with MAP arrivals ⋮ Discrete time shock models involving runs ⋮ Resource optimization in \(MMAP[2/PH[2]/S\) priority queueing model with threshold \(PH\) retrial times and the preemptive resume policy] ⋮ Optimization of traffic control in \(MMAP[2/PH[2]/S\) priority queueing model with \(PH\) retrial times and the preemptive repeat policy] ⋮ Stochastic monotonicity and comparability of Markov chains with block-monotone transition matrices and their applications to queueing systems ⋮ A new class of bivariate lifetime distributions ⋮ Threshold dynamics and ergodicity of an SIRS epidemic model with semi-Markov switching ⋮ An Analysis Method of Queueing Networks with a Degradable Structure and Non-zero Repair Times of Systems ⋮ An Infinite-Server Queueing $$MMAP_k|G_k|\infty $$ Model in Semi-Markov Random Environment Subject to Catastrophes ⋮ Analysis of an Infinite-Server Queue $$MAP_k|G_k|\infty $$ in Random Environment with k Markov Arrival Streams and Random Volume of Customers ⋮ Reliability analysis under Marshall-Olkin run shock model ⋮ A compound negative binomial distribution with mutative termination conditions based on a change point ⋮ Stability analysis of a multi-server model with simultaneous service and a regenerative input flow ⋮ Exact distribution of random order statistics and applications in risk management ⋮ An Analysis Method of Open Queueing Networks with a Degradable Structure and Instantaneous Repair Times of Systems ⋮ A further study of some Markovian Bitcoin models from Göbel et al. ⋮ Level-dependent QBD models for the evolution of a family of gene duplicates ⋮ Reliability evaluation of a system under a mixed shock model ⋮ Assessment of a multi-state system under a shock model ⋮ A Computational Framework for Two-Dimensional Random Walks With Restarts ⋮ Reliability assessment of a discrete time cold standby repairable system ⋮ Compound Markov negative binomial distribution ⋮ On a single server queueing inventory system with common life time for inventoried items ⋮ Cross-infection in epidemics spread by carriers ⋮ A sufficient condition for the subexponential asymptotics of GI/G/\(1\)-type Markov chains with queueing applications ⋮ Analysis of MAP/M/1 queue with working breakdowns ⋮ An \(\mathrm{M}/\mathrm{PH}/K\) queue with constant impatient time ⋮ Stability criterion of a multiserver model with simultaneous service ⋮ A catastrophic queueing model with delayed action ⋮ Coexistence and exclusion of competitive Kolmogorov systems with semi-Markovian switching ⋮ On the MAP/PH/c retrial queueing system with two types of nonpersistent calls ⋮ The Complementary Exponential Phase Type Distribution ⋮ Phase-type distributions for studying variability in resistive memories ⋮ An exact root-free method for the expected queue length for a class of discrete-time queueing systems ⋮ A new look at Markov processes ofG/M/1-type ⋮ Reliability modeling for a repairable \((k_1, k_2)\)-out-of-\(n\): \(G\) system with phase-type vacation time ⋮ A 2-class maintenance model with dynamic server behavior ⋮ Analysis of a queueing model with batch Markovian arrival process and general distribution for group clearance ⋮ Forecasting counting and time statistics of compound Cox processes: a focus on intensity phase type process, deletions and simultaneous events ⋮ Characterizations of discrete compound Poisson distributions ⋮ The unobserved waiting customer approximation ⋮ Double-sided queues with marked Markovian arrival processes and abandonment ⋮ Error Bounds for Augmented Truncations of Discrete-Time Block-Monotone Markov Chains under Geometric Drift Conditions ⋮ A discrete MMAP for analysing the behaviour of a multi-state complex dynamic system subject to multiple events ⋮ Some results on optimal stopping under phase-type distributed implementation delay ⋮ Subexponential asymptotics of asymptotically block-Toeplitz and upper block-Hessenberg Markov chains ⋮ Cost optimization of an unreliable server queue with two stage service process under hybrid vacation policy ⋮ Steady-State and Transient Analysis of a Single Channel Cognitive Radio Model with Impatience and Balking ⋮ Bounds on the mean and squared coefficient of variation of phase-type distributions ⋮ Graph-based algorithms for phase-type distributions ⋮ Ruin problems for epidemic insurance
This page was built for publication: Fundamentals of Matrix-Analytic Methods