Imbedded Markov Chain Analysis of Time-Division Multiplexing

  • Jeremiah F. Hayes
Part of the Applications of Communications Theory book series (ACTH)


In general terms, multiplexing is a means for sharing facilities among a number of users and sources. As we have seen in Section 2.4, the standard techniques for doing this in the telephone networks are frequency-division multiplexing (FDM) and time-division multiplexing (TDM). The explosive growth of digital technology has favored the development of TDM for sharing the capacity of transmission lines. Moreover, the digital basis of time-division multiplexing makes it a natural vehicle for data traffic. In this chapter we shall analyze the performance of time-division multiplexing and a variant, asynchronous time-division multiplexing. This analysis is closely related to the analysis of the M/G/1 queue in the previous chapter inasmuch as both use the imbedded Markov chain approach.


Arrival Process Average Delay Data Unit Idle Period State Transition Probability 
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Copyright information

© Plenum Press, New York 1984

Authors and Affiliations

  • Jeremiah F. Hayes
    • 1
  1. 1.Concordia UniversityMontrealCanada

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