STATISTICAL CONTROL OF A NORMAL PROCESS.

Abstract

The optimal statistical control of a simple production process which has only two underlying states, in control and out of control, is studied. The produced items are assumed to have a measurable quality characteristic which has a normal distribution with known variance. When the process leaves control the mean of this distribution shifts from good to bad, both assumed known. Costs are associated with the quality of an item and with repairing the process which returns it to a state of control. Other than immediately after repair, the process state is assumed unknown. This report gives a statistical control rule which, based on the quality history of produced items, tells when to repair the machine. The rule given minimizes the time average of the total cost of repairs plus quality. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 07, 1965
Accession Number
AD0622828

Entities

People

  • Howard M. Taylor

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Distribution Functions
  • Functions (Mathematics)
  • Normal Distribution
  • Production

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Control Systems Engineering.
  • Life Cycle Cost Analysis