A skill based parallel service system under FCFS-ALIS—steady state, overloads, and abandonments
We consider a queueing system with J parallel servers 𝒮={m 1,…, m J}, and with customer
types 𝒞={a, b,…}. A bipartite graph G describes which pairs of server-customer types are …
types 𝒞={a, b,…}. A bipartite graph G describes which pairs of server-customer types are …
Economic-environmental dispatch of isolated microgrids based on dynamic classification sparrow search algorithm
Pollutant emissions cause environmental harm and the volatility of renewable energy
threatens the safe operation of a microgrid. To enhance the reliability of electricity supply …
threatens the safe operation of a microgrid. To enhance the reliability of electricity supply …
[HTML][HTML] Stability of a stochastic ring network
In this paper we establish a necessary and sufficient stability condition for a stochastic ring
network. Such networks naturally appear in a variety of applications within communication …
network. Such networks naturally appear in a variety of applications within communication …
Stability analysis of two-class retrial systems with constant retrial rates and general service times
K Avrachenkov, E Morozov, R Nekrasova - Performance Evaluation, 2023 - Elsevier
We establish stability criterion for a two-class retrial system with Poisson inputs, general
class-dependent service times and class-dependent constant retrial rates. We also …
class-dependent service times and class-dependent constant retrial rates. We also …
Stability and partial instability of multi-class retrial queues
K Avrachenkov - Queueing Systems, 2022 - Springer
1 Introduction It is desirable that queueing systems and networks operate with small queues
and not overloaded servers. This is the topic of stability analysis [17, 18, 20, 24]. We would …
and not overloaded servers. This is the topic of stability analysis [17, 18, 20, 24]. We would …
Dynamics of finite inhomogeneous particle systems with exclusion interaction
We study finite particle systems on the one-dimensional integer lattice, where each particle
performs a continuous-time nearest-neighbour random walk, with jump rates intrinsic to …
performs a continuous-time nearest-neighbour random walk, with jump rates intrinsic to …
Fluid Models of Parallel Service Systems Under FCFS
We study deterministic fluid approximation models of parallel service systems with a fixed
set of servers, operating under first come first served (FCFS) policy, when the service time …
set of servers, operating under first come first served (FCFS) policy, when the service time …
Affine arithmetic-based reliable estimation of transition state boundaries for uncertain Markov chains
Markov Chain-based models have been extensively used in numerous power system
applications, ranging from decision support systems, to reliability and resilience analysis …
applications, ranging from decision support systems, to reliability and resilience analysis …
A queue with skill based service under FCFS-ALIS: steady state, overloaded system, and behavior under abandonments
We consider a queueing system with servers S={m_1,…, m_J}, and with customer types
C={a, b,…}. A bipartite graph G describes which pairs of server-customer type are …
C={a, b,…}. A bipartite graph G describes which pairs of server-customer type are …
Stability of two-dimensional Markov processes, with an application to QBD processes with an infinite number of phases
In this paper, we derive a simple drift condition for the stability of a class of two-dimensional
Markov processes, for which one of the coordinates (also referred to as the {\em phase} for …
Markov processes, for which one of the coordinates (also referred to as the {\em phase} for …