Completeness Theorem of Information Precedence

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TAIS

Preface

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Overview

The method of information precedence analysis had a fundamental property which makes it a very efficient tool: it is complete in a certain sense. An information system for management control has the purpose of making integrated management possible.

Theorem

Propostion 1

Corollary

Proposition 2

Theorem 1

Each information set in a management information system must be a precedent (of some order) of at least one operation station.[1]

Theorem 2

Completeness theorem. Each and all relevant information sets in a management information system can be determined, and defined, by an information precedence analysis which starts at every operating station.

Discussion

Notes

  1. We are talking here of operations management. Strategic[al] planning systems, for instance, do not satisfy Proposition 1. Hence the theorems 1 and 2 do not hold for such systems.