Dynamics and Control on a Discrete Multi-Inventory System
In this paper, a discrete two item inventory model for deteriorating items with a linear stock dependent demand rate without regular supply is given first; then, regular supply is taken into account, which may be regarded as feedback control. An objective function is formed to calculate the net prof...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2019/6926342 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551122111299584 |
|---|---|
| author | Yuzhen Wang Li Xu |
| author_facet | Yuzhen Wang Li Xu |
| author_sort | Yuzhen Wang |
| collection | DOAJ |
| description | In this paper, a discrete two item inventory model for deteriorating items with a linear stock dependent demand rate without regular supply is given first; then, regular supply is taken into account, which may be regarded as feedback control. An objective function is formed to calculate the net profit with respect to possible profits and possible loss. A necessary criterion for the steady state optimal control problem for optimizing the objective function subjected to the constraints given by the difference equations of the inventory is obtained. At last, an improved model is put forward. |
| format | Article |
| id | doaj-art-7d087c3be7d04811994ebe7b74a35c5c |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-7d087c3be7d04811994ebe7b74a35c5c2025-02-03T06:04:57ZengWileyJournal of Control Science and Engineering1687-52491687-52572019-01-01201910.1155/2019/69263426926342Dynamics and Control on a Discrete Multi-Inventory SystemYuzhen Wang0Li Xu1School of Science, Tianjin University of Commerce, Tianjin 300134, ChinaSchool of Science, Tianjin University of Commerce, Tianjin 300134, ChinaIn this paper, a discrete two item inventory model for deteriorating items with a linear stock dependent demand rate without regular supply is given first; then, regular supply is taken into account, which may be regarded as feedback control. An objective function is formed to calculate the net profit with respect to possible profits and possible loss. A necessary criterion for the steady state optimal control problem for optimizing the objective function subjected to the constraints given by the difference equations of the inventory is obtained. At last, an improved model is put forward.http://dx.doi.org/10.1155/2019/6926342 |
| spellingShingle | Yuzhen Wang Li Xu Dynamics and Control on a Discrete Multi-Inventory System Journal of Control Science and Engineering |
| title | Dynamics and Control on a Discrete Multi-Inventory System |
| title_full | Dynamics and Control on a Discrete Multi-Inventory System |
| title_fullStr | Dynamics and Control on a Discrete Multi-Inventory System |
| title_full_unstemmed | Dynamics and Control on a Discrete Multi-Inventory System |
| title_short | Dynamics and Control on a Discrete Multi-Inventory System |
| title_sort | dynamics and control on a discrete multi inventory system |
| url | http://dx.doi.org/10.1155/2019/6926342 |
| work_keys_str_mv | AT yuzhenwang dynamicsandcontrolonadiscretemultiinventorysystem AT lixu dynamicsandcontrolonadiscretemultiinventorysystem |