GENERAL SOLUTION FOR THE ECONOMIC DESIGN OF X-CHARTS BASED ON DUNCAN'S MODEL.
Abstract
An exact and relatively simple general solution for the design of X-charts based on Duncan's model is derived in this paper. The general solution consists of an implicit equation in design variables n (sample size) and k (control limit factor) and an explicit equation for h (sampling interval). The use of this general solution not only yields the exact optimum but also provides valuable information so that the sensitivity of the optimum loss-cost (L*) can be evaluated. Loss-cost contours are used to discuss the nature of the loss-cost surface and the effect of the design variables. The effect of two parameters, the delay factor (e), and the average time for an assignable cause to occur (1/lambda), on the optimum design is evaluated. Numerical examples are used for illustrations. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1967
- Accession Number
- AD0656596
Entities
People
- A. L. Groel
- S. M. Wu
Organizations
- University of Wisconsin–Madison