Optimal Idle and Inspection Periods for M/G/1 Queues,

Abstract

We consider an M/G/1 queue that operates under a (T,N)-policy: whenever the system becomes empty, the server is idle for a time T and then it inspects the queue continuously without serving customers until there are N customers waiting - thereupon the server is activated for service and serves customers continuously until the system becomes empty. This idle-inspection-service cycle is repeated indefinitely. There are costs for inspecting the queue, activating and running the server, and holding customers in the system. We present a computational procedure for determining the design parameters (T,N) that minimizes the average cost.

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Document Details

Document Type
Technical Report
Publication Date
Mar 25, 1986
Accession Number
ADA170110

Entities

People

  • Richard F. Serfozo
  • Sung S. Kim

Organizations

  • Georgia Tech

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Classification
  • Computations
  • Identities
  • Information Science
  • Inspection
  • Intervals
  • Mathematics
  • Monitoring
  • Notation
  • Operations Research
  • Optimization
  • Security
  • Standards
  • Time Intervals

Readers

  • Mathematical Modeling and Probability Theory.