A NOVEL STOCHASTIC APPROACH TO BUFFER STOCK PROBLEM
| dc.contributor.author | Hanalioglu, Z. | |
| dc.contributor.author | Poladova, A. | |
| dc.contributor.author | Gever, B. | |
| dc.contributor.author | Khaniyev, T. | |
| dc.date.accessioned | 2024-09-29T16:12:26Z | |
| dc.date.available | 2024-09-29T16:12:26Z | |
| dc.date.issued | 2024 | |
| dc.department | Karabük Üniversitesi | en_US |
| dc.description.abstract | In this paper, the stochastic fluctuation of buffer stock level at time t is investigated. Therefore, random walk processes X(t) and Y (t) with two specific barriers have been defined to describe the stochastic fluctuation of the product level. Here X(t) equivalent to Y (t) - a and the parameter a specifies half capacity of the buffer stock warehouse. Next, the one-dimensional distribution of the process X(t) has calculated. Moreover, the ergodicity of the process X(t) has been proven and the exact formula for the characteristic function has been found. Then, the weak convergence theorem has been proven for the standardized process W(t) equivalent to X(t)/a, as a -> infinity . Additionally, exact and asymptotic expressions for the ergodic moments of the processes X(t) and Y (t) are obtained. | en_US |
| dc.description.sponsorship | TOBB University of Economics and Technology | en_US |
| dc.description.sponsorship | Acknowledgement. One of the authors (Aynura Poladova) would like to thank TOBB University of Economics and Technology for its financial support for her scientific studies. | en_US |
| dc.identifier.endpage | 656 | en_US |
| dc.identifier.issn | 2146-1147 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.startpage | 644 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.14619/8765 | |
| dc.identifier.volume | 14 | en_US |
| dc.identifier.wos | WOS:001196307000029 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Turkic World Mathematical Soc | en_US |
| dc.relation.ispartof | Twms Journal of Applied and Engineering Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Random walk with two barriers | en_US |
| dc.subject | buffer stock problem | en_US |
| dc.subject | stationary distribution | en_US |
| dc.subject | weak convergence | en_US |
| dc.subject | asymptotic expansion | en_US |
| dc.title | A NOVEL STOCHASTIC APPROACH TO BUFFER STOCK PROBLEM | en_US |
| dc.type | Article | en_US |
