Accession Number : AD0670753

Title :   SOME MATHEMATICAL MODELS OF INSPECTION ALONG A PRODUCTION LINE.

Descriptive Note : Technical rept.,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE OPERATIONS RESEARCH CENTER

Personal Author(s) : Brown,Earl Douglas

Report Date : MAY 1968

Pagination or Media Count : 193

Abstract : A production line is taken to be an ordered series of manufacturing operations separated by potential inspection stations. The study concerns two primary aspects of inspection along a production line through which item goods are processed. First, when the system characteristics which affect final quality are not known with certainty, the problem of allocating costly inspection throughout the line is considered. Two models are presented, analysed and combined. Dynamic programming formulations are closely analysed and much attention is given to securing bounds on their operation and on the optimal solution. A case is demonstrated where two such formulations may be combined to the advantage of each. Secondly, when the system characteristics are known with certainty, there is the problem of installing a combined inspection and disposition plan in order to 'control' the final quality. Two models are described and for each the properties of the optimal solutions are discussed. For a 'long-term-cost' model, an 'all or nothing' property is proved for the optimal inspection as well as for the optimal disposition plans, but the question is reopened for the 'long-run-quality' model. Various classes of quality control procedures and costs are considered. (Author)

Descriptors :   (*MANAGEMENT PLANNING AND CONTROL, *QUALITY CONTROL), DYNAMIC PROGRAMMING, MATHEMATICAL MODELS, OPTIMIZATION, SAMPLING, PRODUCTION CONTROL, COSTS, FLOW CHARTING, MANAGEMENT PLANNING AND CONTROL, THEOREMS, THESES

Subject Categories : Administration and Management
      Operations Research
      Mfg & Industrial Eng & Control of Product Sys

Distribution Statement : APPROVED FOR PUBLIC RELEASE