An inventory model for perishable items with quadratic trapezoidal type demand under partial backlogging
In this paper, we consider the inventory model for perishable items with quadratic trapezoidal type demand rate, that is, the demand rate is a piecewise quadratic function under constant deterioration rate. The model consider allows for shortages and the demand is partially backlogged. The model is...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Growing Science
2015-04-01
|
| Series: | International Journal of Industrial Engineering Computations |
| Subjects: | |
| Online Access: | http://www.growingscience.com/ijiec/Vol6/IJIEC_2014_42.pdf |
| _version_ | 1818016540686024704 |
|---|---|
| author | Smrutirekha Debata Milu Acharya G. C. Samanta |
| author_facet | Smrutirekha Debata Milu Acharya G. C. Samanta |
| author_sort | Smrutirekha Debata |
| collection | DOAJ |
| description | In this paper, we consider the inventory model for perishable items with quadratic trapezoidal type demand rate, that is, the demand rate is a piecewise quadratic function under constant deterioration rate. The model consider allows for shortages and the demand is partially backlogged. The model is solved analytically by minimizing the total inventory cost. The result is illustrated with numerical example. Finally, we discuss sensitivity analysis for the model. |
| first_indexed | 2024-04-14T07:13:47Z |
| format | Article |
| id | doaj.art-9e4ad7286014497790fdff46dc4b4b6a |
| institution | Directory Open Access Journal |
| issn | 1923-2926 1923-2934 |
| language | English |
| last_indexed | 2024-04-14T07:13:47Z |
| publishDate | 2015-04-01 |
| publisher | Growing Science |
| record_format | Article |
| series | International Journal of Industrial Engineering Computations |
| spelling | doaj.art-9e4ad7286014497790fdff46dc4b4b6a2022-12-22T02:06:21ZengGrowing ScienceInternational Journal of Industrial Engineering Computations1923-29261923-29342015-04-016218519810.5267/j.ijiec.2014.12.001An inventory model for perishable items with quadratic trapezoidal type demand under partial backloggingSmrutirekha DebataMilu AcharyaG. C. SamantaIn this paper, we consider the inventory model for perishable items with quadratic trapezoidal type demand rate, that is, the demand rate is a piecewise quadratic function under constant deterioration rate. The model consider allows for shortages and the demand is partially backlogged. The model is solved analytically by minimizing the total inventory cost. The result is illustrated with numerical example. Finally, we discuss sensitivity analysis for the model.http://www.growingscience.com/ijiec/Vol6/IJIEC_2014_42.pdfQuadratic trapezoidal demandDeteriorationShortagesPartial backlogging |
| spellingShingle | Smrutirekha Debata Milu Acharya G. C. Samanta An inventory model for perishable items with quadratic trapezoidal type demand under partial backlogging International Journal of Industrial Engineering Computations Quadratic trapezoidal demand Deterioration Shortages Partial backlogging |
| title | An inventory model for perishable items with quadratic trapezoidal type demand under partial backlogging |
| title_full | An inventory model for perishable items with quadratic trapezoidal type demand under partial backlogging |
| title_fullStr | An inventory model for perishable items with quadratic trapezoidal type demand under partial backlogging |
| title_full_unstemmed | An inventory model for perishable items with quadratic trapezoidal type demand under partial backlogging |
| title_short | An inventory model for perishable items with quadratic trapezoidal type demand under partial backlogging |
| title_sort | inventory model for perishable items with quadratic trapezoidal type demand under partial backlogging |
| topic | Quadratic trapezoidal demand Deterioration Shortages Partial backlogging |
| url | http://www.growingscience.com/ijiec/Vol6/IJIEC_2014_42.pdf |
| work_keys_str_mv | AT smrutirekhadebata aninventorymodelforperishableitemswithquadratictrapezoidaltypedemandunderpartialbacklogging AT miluacharya aninventorymodelforperishableitemswithquadratictrapezoidaltypedemandunderpartialbacklogging AT gcsamanta aninventorymodelforperishableitemswithquadratictrapezoidaltypedemandunderpartialbacklogging AT smrutirekhadebata inventorymodelforperishableitemswithquadratictrapezoidaltypedemandunderpartialbacklogging AT miluacharya inventorymodelforperishableitemswithquadratictrapezoidaltypedemandunderpartialbacklogging AT gcsamanta inventorymodelforperishableitemswithquadratictrapezoidaltypedemandunderpartialbacklogging |