Determining the distribution of the first moment of blocking time of randomly loaded systems

Nasirova T., Unver I., Aliev I.

AUTOMATIC CONTROL AND COMPUTER SCIENCES, cilt.37, sa.1, ss.41-49, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 1
  • Basım Tarihi: 2003
  • Dergi Adı: AUTOMATIC CONTROL AND COMPUTER SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.41-49
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

The present article considers one of a number of models of a randomly loaded system with limited buffer storage. Tasks with random volume arrive in the system at random moments of time. If there are no places in buffer storage following the arrival of a succeeding load, the system is assumed to be blocked. There are short-term halts related to faults in the system. Through application of the apparatus of semi-Markov walk processes, the Laplace transformation of the distribution of the first moment of the blocking time of the system is found for this model, and expressions for its mathematical expectation and variance are obtained in explicit form.