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    RISS 인기검색어

      AN M/G/1 QUEUE WITH GENERALIZED VACATIONS AND EXHAUSTIVE SERVICE

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      https://www.riss.kr/link?id=E804966

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      Models of single-server queues with vacations have been widely used to study the performance of many computer, communication, and production systems. In this paper, we analyze an M/G/1 queue with generalized vacations and exhaustive service. This system has been shown to possess a stochastic decomposition property. That is, the customer waiting time in this system is distributed as the sum of the waiting time in a regular M/G/1 queue with no vacations and the additional delay due to vacations. Herein, a general formula for the additional delay is derived for a wide class of vacation policies. The formula is also extended to cases with multiple types of vacations. Using these new formulas, existing results for certain vacation models are easily re-derived and unified.
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      Models of single-server queues with vacations have been widely used to study the performance of many computer, communication, and production systems. In this paper, we analyze an M/G/1 queue with generalized vacations and exhaustive service. This syst...

      Models of single-server queues with vacations have been widely used to study the performance of many computer, communication, and production systems. In this paper, we analyze an M/G/1 queue with generalized vacations and exhaustive service. This system has been shown to possess a stochastic decomposition property. That is, the customer waiting time in this system is distributed as the sum of the waiting time in a regular M/G/1 queue with no vacations and the additional delay due to vacations. Herein, a general formula for the additional delay is derived for a wide class of vacation policies. The formula is also extended to cases with multiple types of vacations. Using these new formulas, existing results for certain vacation models are easily re-derived and unified.

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      목차 (Table of Contents)

      • 1. Introduction
      • 2. The Basic Model
      • 3. New Formules for The Additional Delay
      • 4. Simple Derivations of Soma Existing Results
      • 4.1 Vacation model with Multiple Vacation
      • 1. Introduction
      • 2. The Basic Model
      • 3. New Formules for The Additional Delay
      • 4. Simple Derivations of Soma Existing Results
      • 4.1 Vacation model with Multiple Vacation
      • 4.2 Vacation model with Single Vacation
      • 4.3 Variable Vacations
      • 5. Conclusions
      • REFERENCES
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