Journal ArticleDOI
On finite-buffer batch-size-dependent bulk service queue with queue-length dependent vacation
TLDR
The qualitative aspect of the model is revealed, which reveals the fact that queue-length dependent vacation further reduces congestion in the batch-size-dependent bulk service queues.Abstract:
This paper considers a single server finite-buffer batch-size-dependent bulk service queue with queue-length dependent vacation. Customers arrive at the system according to the Poisson process and ...read more
Citations
More filters
Journal ArticleDOI
Analysis of a Queueing Model with Batch Markovian Arrival Process and General Distribution for Group Clearance
TL;DR: This paper considers a single server queueing model with under general bulk service rule with infinite upper bound on the batch size which it is called group clearance .
Journal ArticleDOI
Behavior Analysis of an M/M/1 vacation Queue in Random Environment
TL;DR: Based on the generating function technique, the transient probabilities and some performance measures are derived and the effectiveness of the proposed system parameters on the behaviour of the system is illustrated with some numerical examples.
Journal ArticleDOI
Matrix-geometric solution of multi-server queueing systems with Bernoulli scheduled modified vacation and retention of reneged customers: A meta-heuristic approach
TL;DR: This article deals with the multi-server finite capacity queueing system with Bernoulli’s scheduled modified vacation policy and the realistic retaining policy of reneged customers with the meta-heuristic approach: particle swarm optimization (PSO).
Journal ArticleDOI
On steady-state joint distribution of an infinite buffer batch service Poisson queue with single and multiple vacation
G. K. Tamrakar,A. Banerjee +1 more
TL;DR: In this paper, a single server, infinite buffer, bulk service Poisson queue with single and multiple vacation is considered, where customers are served in batches following the general bulk service (GBS) rule.
Posted Content
On the joint distribution of an infinite-buffer discrete-time batch-size-dependent service queue with single and multiple vacation
N Nandy,S. Pradhan +1 more
TL;DR: In this article, the authors analyzed an infinite-buffer batch-service queue with single and multiple vacation where customers/messages arrive according to the Bernoulii process and service time varies with the batch-size.
References
More filters
Journal ArticleDOI
Queueing systems with vacations—a survey
TL;DR: This survey gives an overview of some general decomposition results and the methodology used to obtain these results for two vacation models and attempts to provide a methodological overview to illustrate how the seemingly diverse mix of problems is closely related in structure and can be understood in a common framework.
BookDOI
Vacation queueing models : theory and applications
Naishuo Tian,Zhe George Zhang +1 more
TL;DR: M/G/1 Type Vacation Models: Exhaustive Service; General-Input Single Server Vacation models: Nonexhaustive service.
Journal ArticleDOI
Utilization of Idle Time in an M/G/1 Queueing System
Yonatan Levy,Uri Yechiali +1 more
TL;DR: There are also disclosed a new desoldering tool, a power cylinder, clamping fixtures and suction cups operable with the vacuum pump of the invention.
Journal ArticleDOI
Queuing analysis of polling models
TL;DR: An overview of the state of the art of polling model analysis is presented, in particular, single- buffer systems and infinite-buffer systems with exhaustive, gated, and limited service disciplines are treated.
Journal ArticleDOI
A General Class of Bulk Queues with Poisson Input
TL;DR: In this paper, the authors assume that customers arrive at a counter according to a homogeneous Poisson process and are served in groups, according to the following policy: if there are less than L customers waiting at the time of a departure, the server must wait until there are L customers present, whereupon he serves them together.
Related Papers (5)
On the batch arrival batch service queue with finite buffer under server's vacation: MX/GY/1/N queue
K. Sikdar,U. C. Gupta +1 more