MIT Libraries logoDSpace@MIT

MIT
View Item 
  • DSpace@MIT Home
  • Operations Research Center
  • Operations Research Center Working Papers
  • View Item
  • DSpace@MIT Home
  • Operations Research Center
  • Operations Research Center Working Papers
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

An N Server Cutoff Priority Queue Where Customers Request a Random Number of Servers

Author(s)
Schaack, Christian; Larson, Richard C., 1943-
Thumbnail
DownloadOR-136-85.pdf (3.271Mb)
Metadata
Show full item record
Abstract
Consider a multi-priority, nonpreemptive, N-server Poisson arrival queueing system. The number of servers requested by an arrival has a known probability distribution. Service times are negative exponential. In order to save available servers for higher priority customers, arriving customers of each lower priority are deliberately queued whenever the number of servers busy equals or exceeds a given priority-dependent cutoff number. A queued priority i customer enters service the instant the number of servers busy is at most the respective cutoff number of servers minus the number of servers requested (by the customer) and all higher priority queues are empty. In other words the queueing discipline is in a sense HOL by priorities, FCFS within a priority. All servers requested by a customer start service simultaneously; service completion instants are independent. We derive the priority i waiting time distribution (in transform domain) and other system statistics.
Date issued
1985-05
URI
http://hdl.handle.net/1721.1/5320
Publisher
Massachusetts Institute of Technology, Operations Research Center
Series/Report no.
Operations Research Center Working Paper;OR 136-85
Keywords
priority queue, random number of servers, cutoff queue.

Collections
  • Operations Research Center Working Papers

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

Login

Statistics

OA StatisticsStatistics by CountryStatistics by Department
MIT Libraries
PrivacyPermissionsAccessibilityContact us
MIT
Content created by the MIT Libraries, CC BY-NC unless otherwise noted. Notify us about copyright concerns.