Chapter 4

More Complex Single-Channel Models

In many service businesses and manufacturing line applications, the basic M/M/1 model does not provide useful results that appear to agree with reality. There are several possible reasons for this poor performance:

  • Chief and foremost, the waiting line formulas are based on the waiting line achieving a steady-state condition. This takes time and should lead you to the observation that the formulas are likely to be a poor predictor of what occurs at the beginning of a business day.
  • The service time distribution is not best described by an exponential distribution.
  • The capacity for accommodating the waiting line is limited.
  • The calling population is not infinite.
  • The interarrival time distribution is ...

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