ON THE BOUNDARY FUNCTIONAL OF THE RANDOM WALK WITH TWO BARRIERS RELATED TO OPTIMAL CAPACITY OF THE BUFFER STOCK

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dc.contributor.authorHanalioglu, Z.
dc.contributor.authorGever, B.
dc.contributor.authorPoladova, A.
dc.contributor.authorKhaniyev, T.
dc.date.accessioned2024-09-29T16:11:36Z
dc.date.available2024-09-29T16:11:36Z
dc.date.issued2018
dc.departmentKarabük Üniversitesien_US
dc.description6th International Conference on Control and Optimization with Industrial Applications (COIA) -- JUL 11-13, 2018 -- Baku, AZERBAIJANen_US
dc.description.abstractIn 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.en_US
dc.description.sponsorshipMinist Transport Commun & High Technologies Republ Azerbaijan,Baku State Univ, Inst Appl Mathen_US
dc.identifier.endpage184en_US
dc.identifier.isbn978-9952-37-093-5
dc.identifier.startpage182en_US
dc.identifier.urihttps://hdl.handle.net/20.500.14619/8561
dc.identifier.wosWOS:000463893800057en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherBaku State Univ, Inst Applied Mathematicsen_US
dc.relation.ispartofProceedings of the 6th International Conference On Control and Optimization With Industrial Applications, Vol Ien_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRandom walk with two barriersen_US
dc.subjectBoundary functionalen_US
dc.subjectBilateral exponential distributionen_US
dc.subjectBasic identity for random walken_US
dc.titleON THE BOUNDARY FUNCTIONAL OF THE RANDOM WALK WITH TWO BARRIERS RELATED TO OPTIMAL CAPACITY OF THE BUFFER STOCKen_US
dc.typeConference Objecten_US

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