Random-like multiple objective decision making:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2011
|
| Series: | Lecture notes in economics and mathematical systems
647 |
| Subjects: | |
| Links: | http://deposit.dnb.de/cgi-bin/dokserv?id=3616436&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022529978&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Physical Description: | XX, 436 S. graph. Darst. 235 mm x 155 mm |
| ISBN: | 9783642179990 |
Staff View
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Record in the Search Index
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IMAGE 1
CONTENTS
1 RANDOM SET THEORY 1
1.1 ALGEBRA AND A-ALGEBRA 1
1.2 MEASURABLE SET AND MEASURE SPACE 4
1.3 OUTER MEASURES 8
1.4 PROBABILITY SPACE 12
1.5 PRODUCT PROBABILITY SPACE 14
1.6 CONDITIONAL PROBABILITY AND INDEPENDENCE 15
1.7 RANDOM VARIABLE 16
1.8 RANDOM VECTOR 17
1.9 PROBABILITY DISTRIBUTION 18
1.10 CENTRAL LIMIT THEOREM 19
1.11 MONTE CARLO SIMULATION 25
2 RANDOM MULTIPLE OBJECTIVE DECISION MAKING 35
2. 1 DISTRIBUTION CENTER LOCATION PROBLEM WITH RANDOM PHENOMENA 35 2.2
TWO KINDS OF RANDOM VARIABLES 38
2.2.1 DISCRETE RANDOM VARIABLE 38
2.2.2 CONTINUOUS RANDOM VARIABLE 41
2.3 RANDOM EVM 45
2.3.1 GENERAL MODEL FOR RANDOM EVM 45
2.3.2 LINEAR RANDOM EVM AND THE WEIGHT SUM METHOD 49 2.3.3 NONLINEAR
RANDOM EVM AND RANDOM SIMULATION-BASED SA 52
2.3.4 NUMERICAL EXAMPLES 58
2.4 RANDOM CCM 61
2.4.1 GENERAL MODEL FOR RANDOM CCM 61
2.4.2 LINEAR RANDOM CCM AND THE LEXICOGRAPHIC METHOD 63 2.4.3 NONLINEAR
RANDOM CCM AND RANDOM SIMULATION-BASED ASA 70
2.4.4 NUMERICAL EXAMPLES 75
2.5 RANDOM DCM 78
2.5.1 GENERAL MODEL FOR RANDOM DCM 79
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1008556203
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
2.5.2 LINEAR RANDOM DCM AND THE FUZZY PROGRAMMING METHOD 80
2.5.3 NONLINEAR RANDOM DCM AND RANDOM SIMULATION-BASED PSA 85
2.5.4 NUMERICAL EXAMPLES 89
2.6 APPLICATION TO CHINESE FRUIT BEVERAGE 92
2.6.1 BACKGROUND STATEMENT 92
2.6.2 NOTATIONS 93
2.6.3 MODELLING AND ANALYSIS 93
BI-RANDOM MULTIPLE OBJECTIVE DECISION MAKING 101
3. 1 FLOW SHOP SCHEDULING PROBLEM WITH RA-RA PHENOMENA 102 3.2 RA-RA
VARIABLE 103
3.2.1 DISCRETE RA-RA VARIABLE 104
3.2.2 CONTINUOUS RA-RA VARIABLE 109
3.3 RA-RA EVM 113
3.3.1 GENERAL MODEL FOR RA-RA EVM 114
3.3.2 LINEAR RA-RA EVM AND THE STEP METHOD 126
3.3.3 NONLINEAR RA-RA EVM AND RA-RA SIMULATION-BASED PSO 132
3.3.4 NUMERICAL EXAMPLES 141
3.4 RA-RA CCM 144
3.4.1 GENERAL MODEL FOR RA-RA CCM 145
3.4.2 LINEAR RA-RA CCM AND THE SURROGATE WORTH TRADE-OFF METHOD 150
3.4.3 NONLINEAR RA-RA CCM AND RA-RA SIMULATION-BASED APSO 157
3.4.4 NUMERICAL EXAMPLES 161
3.5 RA-RA DCM 164
3.5.1 GENERAL MODEL FOR RA-RA DCM 165
3.5.2 LINEAR RA-RA DCM AND THE SATISFYING TRADE-OFF METHOD 166
3.5.3 NONLINEAR RA-RA DCM AND RA-RA SIMULATION-BASED TRIBE-PSO 170
3.5.4 NUMERICAL EXAMPLES 174
3.6 APPLICATION TO GEELY HAOQING AUTOMOTIVE HOLDINGS GROUP LIMITED
COMPANY 178
3.6.1 BACKGROUND INTRODUCTION 178
3.6.2 PROBLEM DESCRIPTION AND NOTATION 180
3.6.3 MODELLING AND ANALYSIS 181
RANDOM FUZZY MULTIPLE OBJECTIVE DECISION MAKING 189 4. 1 SUPPLY CHAIN
NETWORK DESIGN WITH RA-FU PHENOMENA 190 4.2 RANDOM FUZZY VARIABLE 192
4.2.1 FUZZY VARIABLE 192
4.2.2 RA-FU VARIABLE 196
IMAGE 3
CONTENTS
4.3 RA-FU EVM 211
4.3.1 GENERAL MODEL FOR RA-FU EVM 211
4.3.2 LINEAR RA-FU EVM AND THE MAXIMIN POINT METHOD 213 4.3.3 NONLINEAR
RA-FU EVM AND RA-FU SIMULATION-BASED AW-GA 218
4.3.4 NUMERICAL EXAMPLES 227
4.4 RA-FU CCM 230
4.4.1 GENERAL MODEL FOR RA-FU CCM 232
4.4.2 LINEAR RA-FU CCM AND E-CONSTRAINT METHOD 236 4.4.3 NONLINEAR RA-FU
CCM AND RA-FU SIMULATION-BASED ST-GA 242
4.4.4 NUMERICAL EXAMPLES 250
4.5 RA-FU DCM 252
4.5.1 GENERAL MODEL FOR RA-FU DCM 254
4.5.2 LINEAR RA-FU DCM AND GOAL PROGRAMMING METHOD 255 4.5.3 NONLINEAR
RA-FU DCM AND RA-FU SIMULATION-BASED RW-GA 260
4.5.4 NUMERICAL EXAMPLES 264
4.6 APPLICATION TO CHINESE LIQUOR 266
4.6.1 NOTATIONS 269
4.6.2 MODELLING 269
4.6.3 COMPARISON OF ST-GA AND M-GA 277
RANDOM ROUGH MULTIPLE OBJECTIVE DECISION MAKING 279 5.1 INVENTORY
PROBLEM WITH RA-RO PHENOMENA 280
5.2 RANDOM ROUGH VARIABLE 282
5.2.1 ROUGH SET 282
5.2.2 RA-RO VARIABLE 291
5.3 RA-RO EVM 308
5.3.1 GENERAL MODEL FOR RA-RO EVM 309
5.3.2 LINEAR RA-RO EVM AND THE IDEAL POINT METHOD 312 5.3.3 NON-LINEAR
RA-RO EVM AND RA-RO SIMULATION-BASED ECTS 315
5.3.4 NUMERICAL EXAMPLES 322
5.4 RA-RO CCM 325
5.4.1 GENERAL MODEL 326
5.4.2 LINEAR RA-RO CCM AND TWO-STAGE METHOD 327 5.4.3 NONLINEAR RA-RO
CCM AND RA-RO SIMULATION-BASED PTS 333
5.4.4 NUMERICAL EXAMPLES 339
5.5 RA-RO DCM 342
5.5.1 GENERAL MODEL 343
5.5.2 LINEAR RA-RO DCM AND THE FUZZY GOAL METHOD 344 5.5.3 NONLINEAR
RA-RO DCM AND RA-RO SIMULATION-BASED RTS 350
5.5.4 NUMERICAL EXAMPLES 354
IMAGE 4
XII CONTENTS
5.6 THE INVENTORY SYSTEM OF WAL-MART SUPERMARKET 357
5.6.1 BACKGROUND 358
5.6.2 ASSUMPTIONS 359
5.6.3 MATHEMATICAL MODEL 360
5.6.4 SENSITIVITY ANALYSIS 367
6 METHODOLOGICAL SYSTEM FOR RLMODM 371
6.1 MOTIVATION OF RESEARCHING RLMODM 372
6.2 PHYSICS-BASED MODEL SYSTEM 375
6.3 MATHEMATICAL MODEL SYSTEM 377
6.4 MODEL ANALYSIS SYSTEM 382
6.5 ALGORITHM SYSTEM 387
6.6 RESEARCH IDEAS AND PARADIGM: 5MRP 390
6.7 FUTURE RESEARCH 394
A SOME MATHEMATICAL AIDS 397
A.I SERIES 397
A.2 SOME USEFUL INTEGRALS 398
A.3 CHEBYSHEV'S INEQUALITY 399
A.4 CAUCHY 'S EQUATION 399
A.5 SOME USEFUL LEMMAS 400
B SOME PROCEDURES 403
B.I THE PROCEDURE OF RANDOM SIMULATION-BASED SA 403
B.2 THE PROCEDURE OF RA-RA SIMULATION-BASED PSO 406
B.3 THE PROCEDURE OF RA-FU SIMULATION-BASED GA 409
B.4 THE PROCEDURE OF RA-RO SIMULATION-BASED TS 416
REFERENCES 419
INDEX 435 |
| any_adam_object | 1 |
| author | Xu, Jiuping 1962- Yao, Liming |
| author_GND | (DE-588)137202369 (DE-588)1014804299 |
| author_facet | Xu, Jiuping 1962- Yao, Liming |
| author_role | aut aut |
| author_sort | Xu, Jiuping 1962- |
| author_variant | j x jx l y ly |
| building | Verbundindex |
| bvnumber | BV037376763 |
| classification_rvk | QH 233 |
| ctrlnum | (OCoLC)723464878 (DE-599)DNB1008556203 |
| dewey-full | 330.0151 658.4033 |
| dewey-hundreds | 300 - Social sciences 600 - Technology (Applied sciences) |
| dewey-ones | 330 - Economics 658 - General management |
| dewey-raw | 330.0151 658.4033 |
| dewey-search | 330.0151 658.4033 |
| dewey-sort | 3330.0151 |
| dewey-tens | 330 - Economics 650 - Management and auxiliary services |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| indexdate | 2025-01-11T16:06:43Z |
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| isbn | 9783642179990 |
| language | English |
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| physical | XX, 436 S. graph. Darst. 235 mm x 155 mm |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Springer |
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| series | Lecture notes in economics and mathematical systems |
| series2 | Lecture notes in economics and mathematical systems |
| spelling | Xu, Jiuping 1962- Verfasser (DE-588)137202369 aut Random-like multiple objective decision making Jiuping Xu ; Liming Yao Berlin [u.a.] Springer 2011 XX, 436 S. graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture notes in economics and mathematical systems 647 Entscheidungsfindung (DE-588)4113446-1 gnd rswk-swf Entscheidung bei mehrfacher Zielsetzung (DE-588)4113444-8 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd rswk-swf Entscheidungsfindung (DE-588)4113446-1 s Entscheidung bei Unsicherheit (DE-588)4070864-0 s Entscheidung bei mehrfacher Zielsetzung (DE-588)4113444-8 s Stochastischer Prozess (DE-588)4057630-9 s DE-604 Yao, Liming Verfasser (DE-588)1014804299 aut Erscheint auch als Online-Ausgabe 978-3-642-18000-2 Lecture notes in economics and mathematical systems 647 (DE-604)BV000000036 647 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3616436&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022529978&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Xu, Jiuping 1962- Yao, Liming Random-like multiple objective decision making Lecture notes in economics and mathematical systems Entscheidungsfindung (DE-588)4113446-1 gnd Entscheidung bei mehrfacher Zielsetzung (DE-588)4113444-8 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd |
| subject_GND | (DE-588)4113446-1 (DE-588)4113444-8 (DE-588)4057630-9 (DE-588)4070864-0 |
| title | Random-like multiple objective decision making |
| title_auth | Random-like multiple objective decision making |
| title_exact_search | Random-like multiple objective decision making |
| title_full | Random-like multiple objective decision making Jiuping Xu ; Liming Yao |
| title_fullStr | Random-like multiple objective decision making Jiuping Xu ; Liming Yao |
| title_full_unstemmed | Random-like multiple objective decision making Jiuping Xu ; Liming Yao |
| title_short | Random-like multiple objective decision making |
| title_sort | random like multiple objective decision making |
| topic | Entscheidungsfindung (DE-588)4113446-1 gnd Entscheidung bei mehrfacher Zielsetzung (DE-588)4113444-8 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd |
| topic_facet | Entscheidungsfindung Entscheidung bei mehrfacher Zielsetzung Stochastischer Prozess Entscheidung bei Unsicherheit |
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| volume_link | (DE-604)BV000000036 |
| work_keys_str_mv | AT xujiuping randomlikemultipleobjectivedecisionmaking AT yaoliming randomlikemultipleobjectivedecisionmaking |