Paper title: |
## Optimal Policy for M |

Published in: |
Issue 3, (Vol. 4) / 2010 |

Publishing date: |
2010-10-26 |

Pages: |
114-121 |

Author(s): |
SHINDE Vikas , KALRA Mukta, WADHWA Kamal |

Abstract. |
We deal with M^{x}/G/1 Queueing System with
Bernoulli feedback under N-Policy. The probability generating
function and supplementary variable technique are utilized to
evaluate the steady state probability distribution of the number
of units in the system. The steady state results are used to
establish the explicit expressions for the average number of
units in the system and the mean response time for three
different series time distribution. Some of the existing results
are deduced as special cases. Cost analysis is performed to
design the optimal N-policy at minimum cost. In order to
validate the analytical approach by taking illustration we
compute numerical results. |

Keywords: |
M^{x}/G/1 Queue, Supplementary Variable, N-policy, Bernoulli Feedback, Response Time, Cost Analysis. |

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