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A Retrial Queuing System Operating in a Random Environment Subject to Catastrophes

    Authors

    • D. Piriadarshani 1
    • S. Narasimhan 2
    • Kanimozhiraman . 3
    • M. Maheswari 4
    • Beena James 1

    1 Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, India.

    2 Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, India. Department of Mathematics, KCG College of Technology, Chennai, India.

    3 Department of Mathematics, KCG College of Technology, Chennai, India.

    4 Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, India. Department of Mathematics, Anna Adarsh College for Women, Chennai, India.

,

Document Type : Research Article

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Abstract

An one server retrial lineup system operating in a uncertain environment subject to server failure along with repair is analysed. The environment is in any one of the m + 1 states 0, 1, 2,…, m. The environmental state 0 denotes to the state that the server is undergoing repair. The mean is exponential to the repair time. Throughout repair time, customer is not allowed to join the orbit. Instantaneously once the repair, the system drives to phase i, i 1 with probability , where Σ =1. When the environment is in stage 1, the model acts like an queue with service and arrival rate and respectively There is no waiting room and any arriving customer who discovers the server idle joins for service; else (in case of busy server) goes to an orbit of infinite capacity and retries for service with rate v. The system resides in phase for a random intermission of time is exponential with mean and at the end of the sojourn period, a catastrophe occurs washing out the customers (if any) in the orbit and also the customer (if any) undergoing service and the system moves to phase 0: The system steady-state behaviour is derived.

Keywords

  • Queueing System
  • Retrial
  • Catastrophe
  • Repair. AMS Subject Classification: 60K20
  • 60K25
  • 90B22
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    • Article View: 277
    • PDF Download: 346
European Journal of Molecular & Clinical Medicine
Volume 7, Issue 2
November 2020
Page 5029-5032
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  • Article View: 277
  • PDF Download: 346

APA

Piriadarshani, D., Narasimhan, S., ., K., Maheswari, M., & James, B. (2020). A Retrial Queuing System Operating in a Random Environment Subject to Catastrophes. European Journal of Molecular & Clinical Medicine, 7(2), 5029-5032.

MLA

D. Piriadarshani; S. Narasimhan; Kanimozhiraman .; M. Maheswari; Beena James. "A Retrial Queuing System Operating in a Random Environment Subject to Catastrophes". European Journal of Molecular & Clinical Medicine, 7, 2, 2020, 5029-5032.

HARVARD

Piriadarshani, D., Narasimhan, S., ., K., Maheswari, M., James, B. (2020). 'A Retrial Queuing System Operating in a Random Environment Subject to Catastrophes', European Journal of Molecular & Clinical Medicine, 7(2), pp. 5029-5032.

VANCOUVER

Piriadarshani, D., Narasimhan, S., ., K., Maheswari, M., James, B. A Retrial Queuing System Operating in a Random Environment Subject to Catastrophes. European Journal of Molecular & Clinical Medicine, 2020; 7(2): 5029-5032.

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