Multiphase systems with losses
type: Item
instance of: scholarly article
title: Multiphase systems with losses
zbMATH Open document ID: 0572.90030
author: P. P. Bocharov
published in: Automation and Remote Control
publication date: 1984-01-01T00:00:00Z
review text: An m-phase queueing system is considered that has no waiting places. The system input receives a recurrent flow of calls, and the lengths of the intervals between their arrivals are governed by the Cox distribution law. The service times in each server have an exponential distribution. A call will be lost if the server at which it arrives is occupied. Recursion formulas are obtained for the calculation of the probability of loss of calls, the probability that the system is idle, and some other characteristics of the system. The optimal positioning of the servers is also examined.
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60K25
zbMATH DE Number: 3914044
zbMATH Keywords: m-phase queueing system
zbMATH Keywords: Cox distribution law
zbMATH Keywords: probability of loss of calls
zbMATH Keywords: optimal positioning of the servers
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3914044