Title
Two-channel MAP/PH/2 system with customer resequencing.
Abstract
Consideration was given to the two-server queuing system with resequencing buffer and customer resequencing to which a Markov customer flow arrives. The resequencing buffer has also an infinite capacity. The time of customer servicing by each server has the same phasetype distribution. A recurrent algorithm was proposed for calculation of the joint stationary distribution of the numbers of customers in the buffer and resequencing buffer. The stationary distributions of the customer sojourn time in the system and resequencing buffer were obtained in terms of the Laplace---Stieltjes transform in the form of infinite sums. Examples of calculations of the established relations were given.
Year
DOI
Venue
2016
10.1134/S0005117916050040
Automation and Remote Control
Keywords
Field
DocType
Remote Control, Service Time, Sojourn Time, Embed Markov Chain, Customer Arrival
Mathematical optimization,Series (mathematics),Markov chain,Communication channel,Stationary distribution,Queue management system,Mathematics,Service time
Journal
Volume
Issue
ISSN
77
5
1608-3032
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Ilaria Caraccio100.34
Alexander V. Pechinkin200.34
Rostislav Razumchik399.46