A single-server queuing-inventory system in which arrivals are governed by a batch Markovian arrival process and successive arrival batch sizes form a finite first-order Markov chain is considered in this paper.
Achyutha Krishnamoorthy +2 more
doaj +1 more source
Queueing Inventory System in Transport Problem
In this paper, we consider the batch arrival of customers to a transport station. Customers belonging to each category is considered as a single entity according to a BMMAP.
Khamis A. K. Al Maqbali +3 more
doaj +1 more source
A Multi-Type Queueing Inventory System—A Model for Selection and Allocation of Spectra
The model discussed in this paper provides an efficient mechanism for the selection and allocation of available limited spectra for transmission of heterogeneous data in a network.
Thulaseedharan Salini Sinu Lal +4 more
doaj +1 more source
Retrial BMAP/PH/N Queueing System with a Threshold-Dependent Inter-Retrial Time Distribution
In this paper, we study a multi-server queueing system with retrials and an infinite orbit. The arrival of primary customers is described by a batch Markovian arrival process (BMAP), and the service times have a phase-type (PH) distribution.
Valentina I. Klimenok +3 more
doaj +1 more source
Analysis of a k-Stage Bulk Service Queuing System with Accessible Batches for Service
In most of the service systems considered so far in queuing theory, no fresh customer is admitted to a batch undergoing service when the number in the batch is less than a threshold.
Achyutha Krishnamoorthy +2 more
doaj +1 more source
A Batch-Service Queueing Model with a Discrete Batch Markovian Arrival Process [PDF]
Queueing systems with batch service have been investigated extensively during the past decades. However, nearly all the studied models share the common feature that an uncorrelated arrival process is considered, which is unrealistic in several real-life situations.
Dieter Claeys +4 more
openaire +2 more sources
Modeling of Railway Stations Based on Queuing Networks
Among the micro-logistic transport systems, railway stations should be highlighted, such as one of the most important transport infrastructure elements. The efficiency of the transport industry as a whole depends on the quality of their operation.
Igor Bychkov +3 more
doaj +1 more source
Elucidating the Short Term Loss Behavior of Markovian‐Modulated Batch‐Service Queueing Model with Discrete‐Time Batch Markovian Arrival Process [PDF]
This paper applies a matrix‐analytical approach to analyze the temporal behavior of Markovian‐modulated batch‐service queue with discrete‐time batch Markovian arrival process (DBMAP). The service process is correlated and its structure is presented through discrete‐time batch Markovian service process (DBMSP). We examine the temporal behavior of packet
Wang, Yung-Chung +3 more
openaire +2 more sources
EIGENVALUE EXPRESSION FOR A BATCH MARKOVIAN ARRIVAL PROCESS
Summary: Consider a batch Markovian arrival process (BMAP) as the counting process of an underlying process representing the state of environment. Such a process is useful for representing correlated inputs for example. They are used both as a modeling tool and as a theoretical device to represent and approximate superposition of input processes and ...
Nishimura, Shoichi, Sato, Hajime
openaire +2 more sources
Demographic History and Genetic Diversity of Rātā Moehau (Metrosideros bartlettii; Myrtaceae), a Critically Endangered Aotearoa New Zealand Endemic Tree [PDF]
Rātā Moehau (Metrosideros bartlettii), a critically endangered tree endemic to Aotearoa New Zealand, is represented by only 14 wild individuals. We assembled its first genome, analysed genetic diversity in wild and cultivated individuals and found long‐term population decline and reduced diversity in cultivated plants—providing key insights to support ...
Prebble J +5 more
europepmc +2 more sources

