«Batch arrival»
۹۴۴ نتیجهTransient Analysis of a Single-Server Queue with Fixed-Size Batch Arrivals
The transient analysis of a queuing system with fixed-size batch Poisson arrivals and a single server with exponential service times is presented. The focus of the paper is on the use of the functions that arise in the analysis of the transient behaviour of the queuing system. Th
Delay analysis of two batch-service queueing models with batch arrivals: GeoX/Geoc/1
Abstract In this paper, we compute the probability generating functions (PGF’s) of the customer delay for two batch-service queueing models with batch arrivals. In the first model, the available server starts a new service whenever the system is not empty (without waiting to fill
Poisson and Gaussian Approximations for Multi-Server Queues with Batch Arrivals and Batch Abandonment
In this paper, we consider nonstationary multi-server queues and multiserver loss queues with batch arrivals and where we allow customer abandonment to also occur as a Markovian batch process. To estimate the performance of the system, we develop two new approximations that take
Infinite-server Queues with Batch Arrivals and Dependent Service Times
Motivated by large-scale service systems, we consider an infinite-server queue with batch arrivals, where the service times are dependent within each batch. We allow the arrival rate of batches to be time-varying as well as constant. As regularity conditions, we require that the
A detailed note on the finite-buffer queueing system with correlated batch-arrivals and batch-size-/phase-dependent bulk-service
This paper analyzes a finite-buffer queueing system, where customers arrive in batches and the accepted are served by single server. The service is assumed to be dependent on batch-size follows general bulk rule. inter-arrival times of correlated they represented through batch Ma
An Erlang Loss Queue with Time-Phased Batch Arrivals as a Model for Traffic Control in Communication Networks
A multiserver queueing model that does not have a buffer but has batch arrival of customers is considered. In contrast to the standard batch arrival, in which the entire batch arrives at the system during a single epoch, we assume that the customers of a batch flow arrive individ
Complete characterisation of the customer delay in a queueing system with batch arrivals and batch service
Abstract Whereas the buffer content of batch-service queueing systems has been studied extensively, the customer delay has only occasionally been studied. The few papers concerning the customer delay share the common feature that only the moments are calculated explicitly. In add
Mathematical Modelling and Performance Analysis of Single Server Two-State Batch Arrivals and Batch Service Markovian Queue with Multiple Vacations
Abstract Here a two-state batch arrivals and batch service Markovian queue with server vacation model has been taken into consideration for its mathematical modelling and performance analysis under transient state. The present Markovian queueing model considers a single server wi
A Batch-arrival Queue with Multiple Servers and Fuzzy Parameters: Parametric Programming Approach
This work constructs the membership functions of the system characteristics of a batch-arrival queuing system with multiple servers, in which the batch-arrival rate and customer service rate are all fuzzy numbers. The -cut approach is used to transform a fuzzy queue into a fami
Buffer overflow period in a batch-arrival queue with autocorrelated arrivals
In this paper a study on the buffer overflow period in a finite-buffer queue is presented. A special attention is paid to the autocorrelation and batch arrivals, which are supposed to mimic the properties of real arrival processes. Using the batch Markovian arrival process, formu