Stochastic Linear Programming:
Todaymanyeconomists, engineers and mathematicians are familiar with linear programming and are able to apply it. This is owing to the following facts: during the last 25 years efficient methods have been developed; at the same time sufficient computer capacity became available; finally, in many diff...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1976
|
| Ausgabe: | 1st ed. 1976 |
| Schriftenreihe: | Ökonometrie und Unternehmensforschung Econometrics and Operations Research
21 |
| Schlagworte: | |
| Online-Zugang: | BTU01 Volltext |
| Zusammenfassung: | Todaymanyeconomists, engineers and mathematicians are familiar with linear programming and are able to apply it. This is owing to the following facts: during the last 25 years efficient methods have been developed; at the same time sufficient computer capacity became available; finally, in many different fields, linear programs have turned out to be appropriate models for solving practical problems. However, to apply the theory and the methods of linear programming, it is required that the data determining a linear program be fixed known numbers. This condition is not fulfilled in many practical situations, e. g. when the data are demands, technological coefficients, available capacities, cost rates and so on. It may happen that such data are random variables. In this case, it seems to be common practice to replace these random variables by their mean values and solve the resulting linear program. By 1960 various authors had already recog nized that this approach is unsound: between 1955 and 1960 there were such papers as "Linear Programming under Uncertainty", "Stochastic Linear Pro gramming with Applications to Agricultural Economics", "Chance Constrained Programming", "Inequalities for Stochastic Linear Programming Problems" and "An Approach to Linear Programming under Uncertainty" |
| Beschreibung: | 1 Online-Ressource (VI, 96 p) |
| ISBN: | 9783642662522 |
| DOI: | 10.1007/978-3-642-66252-2 |
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| 520 | |a Todaymanyeconomists, engineers and mathematicians are familiar with linear programming and are able to apply it. This is owing to the following facts: during the last 25 years efficient methods have been developed; at the same time sufficient computer capacity became available; finally, in many different fields, linear programs have turned out to be appropriate models for solving practical problems. However, to apply the theory and the methods of linear programming, it is required that the data determining a linear program be fixed known numbers. This condition is not fulfilled in many practical situations, e. g. when the data are demands, technological coefficients, available capacities, cost rates and so on. It may happen that such data are random variables. In this case, it seems to be common practice to replace these random variables by their mean values and solve the resulting linear program. By 1960 various authors had already recog nized that this approach is unsound: between 1955 and 1960 there were such papers as "Linear Programming under Uncertainty", "Stochastic Linear Pro gramming with Applications to Agricultural Economics", "Chance Constrained Programming", "Inequalities for Stochastic Linear Programming Problems" and "An Approach to Linear Programming under Uncertainty" | ||
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Datensatz im Suchindex
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| author | Kall, P. |
| author_facet | Kall, P. |
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| bvnumber | BV046874196 |
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| dewey-full | 330.1 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 330 - Economics |
| dewey-raw | 330.1 |
| dewey-search | 330.1 |
| dewey-sort | 3330.1 |
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| discipline | Mathematik Wirtschaftswissenschaften |
| discipline_str_mv | Mathematik Wirtschaftswissenschaften |
| doi_str_mv | 10.1007/978-3-642-66252-2 |
| edition | 1st ed. 1976 |
| format | Electronic eBook |
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| id | DE-604.BV046874196 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T15:15:40Z |
| indexdate | 2024-07-10T08:56:13Z |
| institution | BVB |
| isbn | 9783642662522 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032284328 |
| oclc_num | 903190959 |
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| owner | DE-634 |
| owner_facet | DE-634 |
| physical | 1 Online-Ressource (VI, 96 p) |
| psigel | ZDB-2-SBE ZDB-2-BAE ZDB-2-SBE_Archiv ZDB-2-SBE ZDB-2-SBE_Archiv |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Ökonometrie und Unternehmensforschung Econometrics and Operations Research |
| spelling | Kall, P. Verfasser aut Stochastic Linear Programming by P. Kall 1st ed. 1976 Berlin, Heidelberg Springer Berlin Heidelberg 1976 1 Online-Ressource (VI, 96 p) txt rdacontent c rdamedia cr rdacarrier Ökonometrie und Unternehmensforschung Econometrics and Operations Research 21 Todaymanyeconomists, engineers and mathematicians are familiar with linear programming and are able to apply it. This is owing to the following facts: during the last 25 years efficient methods have been developed; at the same time sufficient computer capacity became available; finally, in many different fields, linear programs have turned out to be appropriate models for solving practical problems. However, to apply the theory and the methods of linear programming, it is required that the data determining a linear program be fixed known numbers. This condition is not fulfilled in many practical situations, e. g. when the data are demands, technological coefficients, available capacities, cost rates and so on. It may happen that such data are random variables. In this case, it seems to be common practice to replace these random variables by their mean values and solve the resulting linear program. By 1960 various authors had already recog nized that this approach is unsound: between 1955 and 1960 there were such papers as "Linear Programming under Uncertainty", "Stochastic Linear Pro gramming with Applications to Agricultural Economics", "Chance Constrained Programming", "Inequalities for Stochastic Linear Programming Problems" and "An Approach to Linear Programming under Uncertainty" Economic Theory/Quantitative Economics/Mathematical Methods Operations Research/Decision Theory Economic theory Operations research Decision making Operations Research (DE-588)4043586-6 gnd rswk-swf Lineare Optimierung (DE-588)4035816-1 gnd rswk-swf Stochastik (DE-588)4121729-9 gnd rswk-swf Stochastische Optimierung (DE-588)4057625-5 gnd rswk-swf Lineare Optimierung (DE-588)4035816-1 s Stochastik (DE-588)4121729-9 s DE-604 Operations Research (DE-588)4043586-6 s Stochastische Optimierung (DE-588)4057625-5 s Erscheint auch als Druck-Ausgabe 9783642662546 Erscheint auch als Druck-Ausgabe 9783540074915 Erscheint auch als Druck-Ausgabe 9783642662539 https://doi.org/10.1007/978-3-642-66252-2 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Kall, P. Stochastic Linear Programming Economic Theory/Quantitative Economics/Mathematical Methods Operations Research/Decision Theory Economic theory Operations research Decision making Operations Research (DE-588)4043586-6 gnd Lineare Optimierung (DE-588)4035816-1 gnd Stochastik (DE-588)4121729-9 gnd Stochastische Optimierung (DE-588)4057625-5 gnd |
| subject_GND | (DE-588)4043586-6 (DE-588)4035816-1 (DE-588)4121729-9 (DE-588)4057625-5 |
| title | Stochastic Linear Programming |
| title_auth | Stochastic Linear Programming |
| title_exact_search | Stochastic Linear Programming |
| title_exact_search_txtP | Stochastic Linear Programming |
| title_full | Stochastic Linear Programming by P. Kall |
| title_fullStr | Stochastic Linear Programming by P. Kall |
| title_full_unstemmed | Stochastic Linear Programming by P. Kall |
| title_short | Stochastic Linear Programming |
| title_sort | stochastic linear programming |
| topic | Economic Theory/Quantitative Economics/Mathematical Methods Operations Research/Decision Theory Economic theory Operations research Decision making Operations Research (DE-588)4043586-6 gnd Lineare Optimierung (DE-588)4035816-1 gnd Stochastik (DE-588)4121729-9 gnd Stochastische Optimierung (DE-588)4057625-5 gnd |
| topic_facet | Economic Theory/Quantitative Economics/Mathematical Methods Operations Research/Decision Theory Economic theory Operations research Decision making Operations Research Lineare Optimierung Stochastik Stochastische Optimierung |
| url | https://doi.org/10.1007/978-3-642-66252-2 |
| work_keys_str_mv | AT kallp stochasticlinearprogramming |