SOME RESULTS FOR BULK-ARRIVAL QUEUES WITH STATE-DEPENDENT SERVICE TIMES.

Abstract

The Poisson bulk-arrival single-channel first-come-first-served queuing system is generalized so that the service times are conditioned on the length of the queue at the moment service is begun. Some general theory is developed for the model, and three specific cases are explored. For each of the examples, results are obtained that characterize queue behavior using the imbedded-Markov-chain approach. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1968
Accession Number
AD0676116

Entities

People

  • Carl M. Harris

Tags

DTIC Thesaurus Topics

  • Markov Chains
  • Markov Processes
  • Mathematics
  • Probability

Readers

  • Mathematical Modeling and Probability Theory.