Renewal Processes

  • Shunji Osaki


In the preceding chapter we have introduced the Poisson process from two different viewpoints. According to Definition 3.2.2 the Poisson process has stationary independent increments and the probability that an event takes place for a small interval h is λh, where the proportional constant λ is the parameter of the process. Furthermore, according to Definition 3.3.2 the Poisson process is a renewal process in which the interarrival times are independent and identically distributed exponentially with the mean 1/λ. Figure 4.1.1 shows two realizations of the Poisson process from these two viewpoints.


Poisson Process Renewal Process Interarrival Time Counting Process Wait Time Distribution 
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Copyright information

© Springer-Verlag Berlin · Heidelberg 1992

Authors and Affiliations

  • Shunji Osaki
    • 1
  1. 1.Department of Industrial and Systems Engineering, Faculty of EngineeringHiroshima UniversityHigashi-Hiroshima 724Japan

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