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Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs
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| Zeitschriftentitel: | Operations Research |
|---|---|
| Personen und Körperschaften: | , |
| In: | Operations Research, 60, 2012, 2, S. 286-291 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Institute for Operations Research and the Management Sciences (INFORMS)
|
| Schlagwörter: |
| author_facet |
Li, Qing Yu, Peiwen Li, Qing Yu, Peiwen |
|---|---|
| author |
Li, Qing Yu, Peiwen |
| spellingShingle |
Li, Qing Yu, Peiwen Operations Research Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs Management Science and Operations Research Computer Science Applications |
| author_sort |
li, qing |
| spelling |
Li, Qing Yu, Peiwen 0030-364X 1526-5463 Institute for Operations Research and the Management Sciences (INFORMS) Management Science and Operations Research Computer Science Applications http://dx.doi.org/10.1287/opre.1110.1034 <jats:p> We show that under a set of conditions, both the maximal profit function and the objective function in several lost-sales inventory models with fixed costs are quasiconcave. Not only is the quasiconcavity property useful computationally, it also leads to a sharper characterization of the optimal policies. Neither the proof of the quasiconcavity property itself nor the proof of the optimal policies by using the property requires the machinery of K-concavity or any of its K-related extensions, and hence they are intuitively appealing. </jats:p> Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs Operations Research |
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Institute for Operations Research and the Management Sciences (INFORMS), 2012 |
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Operations Research |
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| title |
Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs |
| title_unstemmed |
Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs |
| title_full |
Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs |
| title_fullStr |
Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs |
| title_full_unstemmed |
Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs |
| title_short |
Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs |
| title_sort |
technical note—on the quasiconcavity of lost-sales inventory models with fixed costs |
| topic |
Management Science and Operations Research Computer Science Applications |
| url |
http://dx.doi.org/10.1287/opre.1110.1034 |
| publishDate |
2012 |
| physical |
286-291 |
| description |
<jats:p> We show that under a set of conditions, both the maximal profit function and the objective function in several lost-sales inventory models with fixed costs are quasiconcave. Not only is the quasiconcavity property useful computationally, it also leads to a sharper characterization of the optimal policies. Neither the proof of the quasiconcavity property itself nor the proof of the optimal policies by using the property requires the machinery of K-concavity or any of its K-related extensions, and hence they are intuitively appealing. </jats:p> |
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| author | Li, Qing, Yu, Peiwen |
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| container_issue | 2 |
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| container_title | Operations Research |
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| description | <jats:p> We show that under a set of conditions, both the maximal profit function and the objective function in several lost-sales inventory models with fixed costs are quasiconcave. Not only is the quasiconcavity property useful computationally, it also leads to a sharper characterization of the optimal policies. Neither the proof of the quasiconcavity property itself nor the proof of the optimal policies by using the property requires the machinery of K-concavity or any of its K-related extensions, and hence they are intuitively appealing. </jats:p> |
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| imprint | Institute for Operations Research and the Management Sciences (INFORMS), 2012 |
| imprint_str_mv | Institute for Operations Research and the Management Sciences (INFORMS), 2012 |
| institution | DE-14, DE-Bn3, DE-Brt1, DE-Ch1, DE-D161, DE-D275, DE-Gla1, DE-L229, DE-Pl11, DE-Rs1, DE-Zi4 |
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| physical | 286-291 |
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| publisher | Institute for Operations Research and the Management Sciences (INFORMS) |
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| series | Operations Research |
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| spelling | Li, Qing Yu, Peiwen 0030-364X 1526-5463 Institute for Operations Research and the Management Sciences (INFORMS) Management Science and Operations Research Computer Science Applications http://dx.doi.org/10.1287/opre.1110.1034 <jats:p> We show that under a set of conditions, both the maximal profit function and the objective function in several lost-sales inventory models with fixed costs are quasiconcave. Not only is the quasiconcavity property useful computationally, it also leads to a sharper characterization of the optimal policies. Neither the proof of the quasiconcavity property itself nor the proof of the optimal policies by using the property requires the machinery of K-concavity or any of its K-related extensions, and hence they are intuitively appealing. </jats:p> Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs Operations Research |
| spellingShingle | Li, Qing, Yu, Peiwen, Operations Research, Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs, Management Science and Operations Research, Computer Science Applications |
| title | Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs |
| title_full | Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs |
| title_fullStr | Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs |
| title_full_unstemmed | Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs |
| title_short | Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs |
| title_sort | technical note—on the quasiconcavity of lost-sales inventory models with fixed costs |
| title_unstemmed | Technical Note—On the Quasiconcavity of Lost-Sales Inventory Models with Fixed Costs |
| topic | Management Science and Operations Research, Computer Science Applications |
| url | http://dx.doi.org/10.1287/opre.1110.1034 |