Input Data Source Limitations for Real-Time Operation of Digital Computers

ABSTRACT

The purpose of this paper is to consider the limiting conditions associated with the handling of many unrelated input data sources by a digital computer which utilizes binary internal logic. Equations are derived which relate the number of distinct input sources to their frequency through inequalities which specify the limiting conditions, i.e. the maximum number of data sources for a given input data frequency. Inequalities are derived for both serial and parallel input data configurations. The limiting conditions for real-time queuing are derived. The modification of the above conditions when program operations are taken into account is examined, and the information content associated with the limiting conditions is discussed. The absolute limit on computer capacity is derived by considering the limit on the information which can be stored in a given computer. Finally, theoretical conclusions are applied to an exemplary model.

REFERENCES

• 1: Claude E. Shannon , Warren Weaver, A Mathematical Theory of Communication, University of Illinois Press, Champaign, IL, 1963
• 2: BRILLuIN, ImON. Science and Information Theory. Academic Press, New York.

INDEX TERMS

Primary Classification:
  C. Computer Systems Organization
  C.3 SPECIAL-PURPOSE AND APPLICATION-BASED SYSTEMS
      Subjects: Real-time and embedded systems

Additional Classification:
  D. Software
  D.4 OPERATING SYSTEMS
      D.4.7 Organization and Design
          Subjects: Real-time systems and embedded systems

General Terms:
Design, Performance, Theory