THE APPLICATION OF QUEUING THEORY TO THE SPAN OF CONTROL

Abstract

The supervisor- orker relationship is considered to be a waiting-line situation where the supervisor is the service unit. Generation of the waiting line is a stochastic process. If there is too much demand on the supervisor, there is an excess of worker waiting time. With too little demand, there is too much idle servic time. Too many subordinates may mean loss ofADEQUATE C NTROL. Too many supervisors may be a costly extravagance and may also create too many organizational levels thereby increasing the difficulties of communication. The idea is to seek a trade-off between worker waiting time and supervisory costs. A cost model is presented which can be used to estimate the span of control for varying service times and cost inputs. Factors influencing the service time are taken into account. The model is predicated on finite queuing theory. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1962
Accession Number
AD0283392

Entities

People

  • L.s. Hill

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Cost Models
  • Costs
  • Demographic Cohorts
  • Social Sciences
  • Stochastic Processes
  • Supervisors

Readers

  • Mathematical Modeling and Probability Theory.
  • Organizational Psychology.
  • Systems Analysis and Design