Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach
Yıl: 2023 Cilt: 7 Sayı: 1 Sayfa Aralığı: 1483 - 1492 Metin Dili: İngilizce DOI: 10.56554/jtom.1226349 İndeks Tarihi: 31-07-2023
Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach
Öz: This paper concerns a stochastic process expressing (s,S) type inventory system with intuitive approximation approach. The stock level in the system is modeled as a semi-Markovian renewal reward process X(t). Therefore, the ergodic distributions of this process can be analyzed with the help of the renewal function. Obtaining explicit formula for renewal function U(x) is difficult from a practical standpoint. Mitov and Omey recently present some intuitive approximations in literature for renewal function which cover a large number of existing results. Using their approach we were able to establish asymptotic approximations for ergodic distribution of a stochastic process X(t). Obtained results can be used in many situations where demand random variables have different distributions from different classes such as Γ(g) class.
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| APA | BEKTAŞ KAMIŞLIK A, Alakoç B, KESEMEN T, Khaniyev T (2023). Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach. , 1483 - 1492. 10.56554/jtom.1226349 |
| Chicago | BEKTAŞ KAMIŞLIK Aslı,Alakoç Büşra,KESEMEN Tülay,Khaniyev Tahir Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach. (2023): 1483 - 1492. 10.56554/jtom.1226349 |
| MLA | BEKTAŞ KAMIŞLIK Aslı,Alakoç Büşra,KESEMEN Tülay,Khaniyev Tahir Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach. , 2023, ss.1483 - 1492. 10.56554/jtom.1226349 |
| AMA | BEKTAŞ KAMIŞLIK A,Alakoç B,KESEMEN T,Khaniyev T Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach. . 2023; 1483 - 1492. 10.56554/jtom.1226349 |
| Vancouver | BEKTAŞ KAMIŞLIK A,Alakoç B,KESEMEN T,Khaniyev T Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach. . 2023; 1483 - 1492. 10.56554/jtom.1226349 |
| IEEE | BEKTAŞ KAMIŞLIK A,Alakoç B,KESEMEN T,Khaniyev T "Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach." , ss.1483 - 1492, 2023. 10.56554/jtom.1226349 |
| ISNAD | BEKTAŞ KAMIŞLIK, Aslı vd. "Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach". (2023), 1483-1492. https://doi.org/10.56554/jtom.1226349 |
| APA | BEKTAŞ KAMIŞLIK A, Alakoç B, KESEMEN T, Khaniyev T (2023). Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach. Journal of the Turkish Operations Management (JTOM), 7(1), 1483 - 1492. 10.56554/jtom.1226349 |
| Chicago | BEKTAŞ KAMIŞLIK Aslı,Alakoç Büşra,KESEMEN Tülay,Khaniyev Tahir Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach. Journal of the Turkish Operations Management (JTOM) 7, no.1 (2023): 1483 - 1492. 10.56554/jtom.1226349 |
| MLA | BEKTAŞ KAMIŞLIK Aslı,Alakoç Büşra,KESEMEN Tülay,Khaniyev Tahir Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach. Journal of the Turkish Operations Management (JTOM), vol.7, no.1, 2023, ss.1483 - 1492. 10.56554/jtom.1226349 |
| AMA | BEKTAŞ KAMIŞLIK A,Alakoç B,KESEMEN T,Khaniyev T Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach. Journal of the Turkish Operations Management (JTOM). 2023; 7(1): 1483 - 1492. 10.56554/jtom.1226349 |
| Vancouver | BEKTAŞ KAMIŞLIK A,Alakoç B,KESEMEN T,Khaniyev T Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach. Journal of the Turkish Operations Management (JTOM). 2023; 7(1): 1483 - 1492. 10.56554/jtom.1226349 |
| IEEE | BEKTAŞ KAMIŞLIK A,Alakoç B,KESEMEN T,Khaniyev T "Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach." Journal of the Turkish Operations Management (JTOM), 7, ss.1483 - 1492, 2023. 10.56554/jtom.1226349 |
| ISNAD | BEKTAŞ KAMIŞLIK, Aslı vd. "Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach". Journal of the Turkish Operations Management (JTOM) 7/1 (2023), 1483-1492. https://doi.org/10.56554/jtom.1226349 |
