Waiting-Time Distribution for a Finite-Capacity Single-Server Queue with Constant Service and Vacation Times

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概要

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• We consider a finite-capacity single-server queue with constant service and vacation times, which is seen in the time division multiple access (TDMA) scheme. First we derive the probability that j customers remain in the queue when a test customer arrives. Using this probability we then evaluate the probability that the test customer who arrives during the vacation or service time has to wait in the queue for longer than a given time. From these results, we obtain tha waiting time distribution for the customer arriving at an arbitrary time. We also show a practical application wireless TDMA communications sytems.

• 社団法人電子情報通信学会の論文
• 1998-11-25

著者

• Takahashi Yoshitaka

  NTT Multimedia Networks Laboratories

• Shikata Yoshiaki

  Ntt Network Service Systems Labs.

• Takahashi Yoshitaka

  Ntt Multimedia Networks Labs.

関連論文

• A COMPOSITE QUEUE WITH VACATION/SET-UP/CLOSE-DOWN TIMES FOR SVCC IN IP OVER ATM NETWORKS
• Waiting-Time Distribution for a Finite-Capacity Single-Server Queue with Constant Service and Vacation Times
• AN EXPLICIT SOLUTION FOR AN M/GI/1/N QUEUE WITH VACATION TIME AND EXHAUSTIVE SERVICE DISCIPLINE

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