Stochastic programming with multiple objective functions:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht u.a.
Reidel
1984
|
| Edition: | 2. ed. |
| Series: | Mathematics and its applications: East European series.
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 313 - 328. - PST: Programarea stochasticǎ cu mai multe funçtii obiectiv <engl.> |
| Physical Description: | XIV, 334 S. graph. Darst. |
| ISBN: | 9027717141 |
Staff View
MARC
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| 100 | 1 | |a Stancu-Minasian, I. M. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Stochastic programming with multiple objective functions |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Dordrecht u.a. |b Reidel |c 1984 | |
| 300 | |a XIV, 334 S. |b graph. Darst. | ||
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| 490 | 0 | |a Mathematics and its applications: East European series. | |
| 500 | |a Literaturverz. S. 313 - 328. - PST: Programarea stochasticǎ cu mai multe funçtii obiectiv <engl.> | ||
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Record in the Search Index
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| adam_text | Table ol Contents
Editor s Preface XI
Preface to the Romanian Edition XIII
Preface to the English Edition ........... XY
Introduction 1
CHAPTER 1 / Deterministic mathematical programming
with several objective functions 7
1.1. Problem Definition 7
1.2. The Relation between the Various Methods of Solving
Mathematical Programming Problems with Multiple
Objective Functions ..,,...., 16
1.3. Goal Programming 28
1.4. Maximum Global Utility Method 33
1.5. The Connection with the Theorv of Games 43
1.6. POP Method 52
1.7. STEM Method 57
1.8. The Case of Two Objective Functions 62
1.9. A Note on the Present State of the Art 68
CHAPTER 2 / Stochastic programming with one objective
function 71
2.1. Distribution Problems 72
2.2. Minimum-Risk Problems in Stochastic Programming 92
2.3. Two-Stage Programming under Uncertainty .... 98
2.4. The Complete Problem 104
2.5. Wets Algorithm 109
2.6. Chance-constrained Programming 113
viii Table of Contents
CHAPTEE 3 / Approaches to stochastic programming
with multiple objective functions 119
3.1. Chebyshev s Stochastic Problem. The Distribution
Problem 121
3.2. Stochastic Fractional Programming. The Distribution
Problem 135
3.3. Goal Programming. The Stochastic Case 141
3.4. Group Decision-Making in Stochastic Programming 153
3.5. Efficient Solutions in Stochastic Programming . . 165
3.6. The PEOTBADE Method ........... 172
3.7. The Case of Discrete Distributions 183
CHAPTEE 4 / Some generalisations of tlie minimum-ris k
problem and Kataolca s problem 187
4.1. The Miniraum-Eisk Problem and Kataoka s Problem 187
4.2. Generalizations 201
4.3. The Minimum-Bisk Approach to the Ohebyshev
Problem . . . 223
OHAPTEE 5 / Multiple minimum-risk solutions in stochas¬
tic programming 227
5.1. Problem Definition 227
5.2. The Case of Two Objective Functions 235
5.3. The Case of Three Objective Functions 242
5.4. The Case of r Objective Functions 252
5.5. A Different Approach 256
5.6. An Interactive Approach to Stochastic Programming
with Multiple Objective Functions 261
CHAPTEE 6 / The transportation problem with multiple
objective functions 269
6.1. The Deterministic Case 269
6.2. The Stochastic Case 282
CHAPTEE 7 / Applications in economy 287
7.1. Production Planning with Multiple Efficiency
Criteria 287
Table of Contents ix
7.2. Another Example of Production Planning ..... 293
7.3. A Problem of Machinery Loading 297
7.4. A Mixing Problem . 298
7.5. Optimisation of Flour Transportation 300
7.6. Efficient Use of Production Capacity in a Metal¬
lurgical Workshop 302
7.7. The Mathematical Model for Pig-iron Production . . 304
7.8. Operation Scheduling 305
7.9. The Assignment Problem 307
7.10. The Input-Output Model for Eesource Allocation . . 309
Eeferences 313
Index 329
|
| any_adam_object | 1 |
| author | Stancu-Minasian, I. M. |
| author_facet | Stancu-Minasian, I. M. |
| author_role | aut |
| author_sort | Stancu-Minasian, I. M. |
| author_variant | i m s m ims imsm |
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| bvnumber | BV002191119 |
| classification_rvk | SK 890 |
| classification_tum | DAT 349f |
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| discipline | Informatik Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV002191119 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:41:49Z |
| institution | BVB |
| isbn | 9027717141 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001439249 |
| oclc_num | 476345660 |
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| owner_facet | DE-91G DE-BY-TUM DE-91 DE-BY-TUM |
| physical | XIV, 334 S. graph. Darst. |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Reidel |
| record_format | marc |
| series2 | Mathematics and its applications: East European series. |
| spelling | Stancu-Minasian, I. M. Verfasser aut Stochastic programming with multiple objective functions 2. ed. Dordrecht u.a. Reidel 1984 XIV, 334 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications: East European series. Literaturverz. S. 313 - 328. - PST: Programarea stochasticǎ cu mai multe funçtii obiectiv <engl.> Stochastische Optimierung (DE-588)4057625-5 gnd rswk-swf Mehrfache Zielsetzung (DE-588)4120724-5 gnd rswk-swf Stochastische Optimierung (DE-588)4057625-5 s DE-604 Mehrfache Zielsetzung (DE-588)4120724-5 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001439249&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stancu-Minasian, I. M. Stochastic programming with multiple objective functions Stochastische Optimierung (DE-588)4057625-5 gnd Mehrfache Zielsetzung (DE-588)4120724-5 gnd |
| subject_GND | (DE-588)4057625-5 (DE-588)4120724-5 |
| title | Stochastic programming with multiple objective functions |
| title_auth | Stochastic programming with multiple objective functions |
| title_exact_search | Stochastic programming with multiple objective functions |
| title_full | Stochastic programming with multiple objective functions |
| title_fullStr | Stochastic programming with multiple objective functions |
| title_full_unstemmed | Stochastic programming with multiple objective functions |
| title_short | Stochastic programming with multiple objective functions |
| title_sort | stochastic programming with multiple objective functions |
| topic | Stochastische Optimierung (DE-588)4057625-5 gnd Mehrfache Zielsetzung (DE-588)4120724-5 gnd |
| topic_facet | Stochastische Optimierung Mehrfache Zielsetzung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001439249&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT stancuminasianim stochasticprogrammingwithmultipleobjectivefunctions |