A multi-product newsvendor problem with budget and loss constraints
The solution space of a multi-product newsvendor problem (MPNP) with two constraints is analyzed and divided by four cases. One constraint is a loss constraint, which is nonlinear and has the integral symbol, while the other is a budget constraint. The threshold values of different solution regions...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
World Scienfitic
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/41396 |
| _version_ | 1848756134590021632 |
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| author | Zhou, Y. Chen, X. Xu, X. Yu, Changjun |
| author_facet | Zhou, Y. Chen, X. Xu, X. Yu, Changjun |
| author_sort | Zhou, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The solution space of a multi-product newsvendor problem (MPNP) with two constraints is analyzed and divided by four cases. One constraint is a loss constraint, which is nonlinear and has the integral symbol, while the other is a budget constraint. The threshold values of different solution regions are calculated and the corresponding solving methods for each case are provided, reducing the complexity of problem solving. The paper suggests the loss-based marginal utility deleting method solves non-negative constraint problems, and the linear approximate approach deals with nonlinear constraint optimal problems with an integral symbol in the model. Numerical examples are given, showing that the solving approach is more effective. |
| first_indexed | 2025-11-14T09:07:22Z |
| format | Journal Article |
| id | curtin-20.500.11937-41396 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:07:22Z |
| publishDate | 2014 |
| publisher | World Scienfitic |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-413962017-09-13T14:13:44Z A multi-product newsvendor problem with budget and loss constraints Zhou, Y. Chen, X. Xu, X. Yu, Changjun - the loss-based marginal utility deleting method Multi-product newsvendor problem (MPNP) nonlinear optimization approximate programming solution space The solution space of a multi-product newsvendor problem (MPNP) with two constraints is analyzed and divided by four cases. One constraint is a loss constraint, which is nonlinear and has the integral symbol, while the other is a budget constraint. The threshold values of different solution regions are calculated and the corresponding solving methods for each case are provided, reducing the complexity of problem solving. The paper suggests the loss-based marginal utility deleting method solves non-negative constraint problems, and the linear approximate approach deals with nonlinear constraint optimal problems with an integral symbol in the model. Numerical examples are given, showing that the solving approach is more effective. 2014 Journal Article http://hdl.handle.net/20.500.11937/41396 10.1142/S0219622014500448 World Scienfitic restricted |
| spellingShingle | - the loss-based marginal utility deleting method Multi-product newsvendor problem (MPNP) nonlinear optimization approximate programming solution space Zhou, Y. Chen, X. Xu, X. Yu, Changjun A multi-product newsvendor problem with budget and loss constraints |
| title | A multi-product newsvendor problem with budget and loss constraints |
| title_full | A multi-product newsvendor problem with budget and loss constraints |
| title_fullStr | A multi-product newsvendor problem with budget and loss constraints |
| title_full_unstemmed | A multi-product newsvendor problem with budget and loss constraints |
| title_short | A multi-product newsvendor problem with budget and loss constraints |
| title_sort | multi-product newsvendor problem with budget and loss constraints |
| topic | - the loss-based marginal utility deleting method Multi-product newsvendor problem (MPNP) nonlinear optimization approximate programming solution space |
| url | http://hdl.handle.net/20.500.11937/41396 |