M/M/C Queue under Monte Carlo Simulation for a Restaurant Model
Vijeta Iyer1, S. Aruna devi2
1Dr. Vijeta Iyer, Department of Science and Humanities (Mathematics), Kuaraguru College of Technology, Coimbatore, India.
2Ms. S Arunadevi, Department of Science and Humanities (Mathematics), Kuaraguru College of Technology, Coimbatore, India.
Manuscript received on 02 July 2019 | Revised Manuscript received on 09 July 2019 | Manuscript published on 30 August 2019 | PP: 1818-1823 | Volume-8 Issue-10, August 2019 | Retrieval Number: J92080881019/2019©BEIESP | DOI: 10.35940/ijitee.J9208.0881019
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper we present a stochastic queuing model for a restaurant which captures the stationary density flow relations. The performance of controlling the heterogeneous crowd in a restaurant under Monte Carlo simulation with various service distributions has been discussed. Using this analysis in future the waiting time of the customers can be reduced and the profit of the management can also be increased. The future behaviour of a restaurant networks both in simulation and analytical methods have been analysed.
Keywords: Inter arrival pattern, Service pattern, M/M/C Queue, Monte Carlo Simulation.
Scope of the Article: Digital Clone or Simulation