Analysis of an infinite-buffer batch-size-dependent service queue with Markovian arrival process
This paper considers an infinite-buffer batch-service queue with Markovian arrival process,
generally distributed and batch-size-dependent service time. We obtain a bivariate vector …
generally distributed and batch-size-dependent service time. We obtain a bivariate vector …
Analysis of a multi-server queue with group service and service time dependent on the size of a group as a model of a delivery system
In this paper, we consider a multi-server queue with a finite buffer. Request arrivals are
defined by the Markov arrival process. Service is provided to groups of requests. The …
defined by the Markov arrival process. Service is provided to groups of requests. The …
Analytical and computational studies of the queue
B Bank, SK Samanta - Communications in Statistics-Theory and …, 2021 - Taylor & Francis
This article studies a single server queueing system in which customers arrive according to
a batch Markovian arrival process and customers are served in batches of random capacity …
a batch Markovian arrival process and customers are served in batches of random capacity …
Stationary joint distribution of a discrete-time group-arrival and batch-size-dependent service queue with single and multiple vacation
Discrete-time queueing systems have widespread applications in packet switching
networks, internet protocol, Broadband Integrated Services Digital Network (B-ISDN), circuit …
networks, internet protocol, Broadband Integrated Services Digital Network (B-ISDN), circuit …
Retrial Queueing System of MAP/PH/N Type with a Finite Buffer and Group Service. The Process Describing the System Dynamics
A queuing system with many identical servers, a finite buffer, and order retrials is under
study. The order's arrival is described by the Markov arrival process. Service is offered for …
study. The order's arrival is described by the Markov arrival process. Service is offered for …
Stationary queue and server content distribution of a batch-size-dependent service queue with batch Markovian arrival process:
Queueing systems with batch Markovian arrival process (BMAP) have paramount
applications in the domain of wireless communication. The BMAP has been used to model …
applications in the domain of wireless communication. The BMAP has been used to model …
Analysis of stationary queue-length distributions of the BMAP/R(a,b)/1 queue
SK Samanta, B Bank - International Journal of Computer …, 2020 - Taylor & Francis
This paper investigates an infinite waiting space single-server queueing system in which
customers arrive according to a batch Markovian arrival process. The server serves the …
customers arrive according to a batch Markovian arrival process. The server serves the …
[HTML][HTML] Efficient computational analysis of non-exhaustive service vacation queues: BMAP/R/1/N (∞) under gated-limited discipline
This paper analyzes the finite-buffer single server queue with vacation (s). It is assumed that
the arrivals follow a batch Markovian arrival process (BMAP) and the server serves …
the arrivals follow a batch Markovian arrival process (BMAP) and the server serves …
A simple analysis of system characteristics in the batch service queue with infinite-buffer and Markovian service process using the roots method: -
We consider an infinite-buffer single-server queue with renewal input and Markovian service
process where customers are served in batches according to a general bulk service rule …
process where customers are served in batches according to a general bulk service rule …
Stationary system-length distribution of Markovian bulk service queue with modified bulk service rule and dynamic service rates
In this paper, we consider a single server bulk service M/M/1 queue, with modified bulk
service rule, say (L→ K) rule, wherein customers are served in batches of maximum batch …
service rule, say (L→ K) rule, wherein customers are served in batches of maximum batch …