A Hypercube Queueing Model for Facility Location and Redistricting in Urban Emergency Services

Richard C. Larson

ResearchPublished 1973

A spatially distributed queueing model is developed to assist administrators of urban emergency services in locating vehicles and designing response districts. Computationally efficient algorithms are given that permit numerical evaluation of the performance characteristics of systems having up to 12 emergency response units. The measures of performance computed analytically by the model include the following: region-wide mean travel time, workload imbalance, and fractions of dispatches that are interdistrict dispatches; workloads of each response unit; mean travel time to each geographical atom and to each district; mean travel time of each response unit; fraction of responses into each district that are interdistrict; and fraction of responses of each response unit that are interdistrict. This mixture of performance measures allows one to focus simultaneously on several region-wide objectives, while assuring that spatial inequities in the delivery of service are maintained at an acceptable minimum.

Topics

Document Details

  • Copyright: RAND Corporation
  • Availability: Web-Only
  • Year: 1973
  • Paperback Pages: 60
  • Document Number: R-1238-HUD

Citation

RAND Style Manual
Larson, Richard C., A Hypercube Queueing Model for Facility Location and Redistricting in Urban Emergency Services, RAND Corporation, R-1238-HUD, 1973. As of September 13, 2024: https://www.rand.org/pubs/reports/R1238.html
Chicago Manual of Style
Larson, Richard C., A Hypercube Queueing Model for Facility Location and Redistricting in Urban Emergency Services. Santa Monica, CA: RAND Corporation, 1973. https://www.rand.org/pubs/reports/R1238.html.
BibTeX RIS

This publication is part of the RAND report series. The report series, a product of RAND from 1948 to 1993, represented the principal publication documenting and transmitting RAND's major research findings and final research.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.

RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.