ON THE BOUNDARY FUNCTIONAL OF THE RANDOM WALK WITH TWO BARRIERS RELATED TO OPTIMAL CAPACITY OF THE BUFFER STOCK
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Baku State Univ, Inst Applied Mathematics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, a boundary functional (N) of the semi-Markovian random walk (X (t)) with two special barriers is considered. The boundary functional N is defined as the first time when the random walk exits from the interval (a). In this study, the boundary functional N has been investigated under the assumption that the jumps of the random walk are expressed by bilateral exponential distributed random variables. There are significant implementations of the boundary functional N in the stock control theory. Especially, it is important to investigate numerical characteristics of the boundary functional N for the finding optimal capacity of buffer stock located between two machines which are working at the same speed. For this reason, the exact expressions for the first three moments of the boundary functional N are obtained by using basic identity for random walk (Feller (1971)). Next, the exact and approximation expressions for the expected value, variance, standard deviation, variation and skewness coefficients of the boundary functional N are derived.
Açıklama
6th International Conference on Control and Optimization with Industrial Applications (COIA) -- JUL 11-13, 2018 -- Baku, AZERBAIJAN
Anahtar Kelimeler
Random walk with two barriers, Boundary functional, Bilateral exponential distribution, Basic identity for random walk
Kaynak
Proceedings of the 6th International Conference On Control and Optimization With Industrial Applications, Vol I
WoS Q Değeri
N/A
