Equilibrium threshold strategies and social benefits in the fully observable Markovian queues with partial breakdowns and interruptible setup/closedown policy

Aghsami A., Jolai F.

Quality Technology and Quantitative Management, cilt.17, sa.6, ss.685-722, 2020 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1080/16843703.2020.1736365
  • Dergi Adı: Quality Technology and Quantitative Management
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Compendex, INSPEC
  • Sayfa Sayıları: ss.685-722
  • Anahtar Kelimeler: equilibrium balking strategies, interruptible set up/closedown policy, M/M/1 queue, partial breakdowns, social benefits
  • Ankara Yıldırım Beyazıt Üniversitesi Adresli: Hayır

Özet

This paper studies the equilibrium balking strategies in the single-server Markovian queues with partial breakdowns and interruptible/setup closedown policy. That means the server may fail at any point in time, no matter the server is idle or busy and the service continues at a slower rate instead of stopping service totally. When the system becomes empty, the server ceases to operate by a closedown time. If a customer arrives during the closedown period, the system starts the service immediately without a setup time. After the closedown period, the server needs a setup time before providing the service upon arrival. We presume that the customers decide whether to join or balk immediately after their arrival based on the reward-cost structure of the system. The fully observable case is discussed and the equilibrium threshold strategies and the equilibrium social benefits for all customers are derived. A numerical example and a case study for a bank system are investigated in this regard. Eventually, the effects of several parameters on the equilibrium thresholds, social benefits, balking probability, probability of empty system and stationary distribution are expressed.