Optimal transportation networks: models and theory
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| Format: | Electronic eBook |
|---|---|
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2009
|
| Series: | Lecture notes in mathematics
1955 |
| Subjects: | |
| Online Access: | Volltext Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 193 - 197 |
| Physical Description: | 1 Online-Ressource (X, 200 S.) Ill., graph. Darst. 24 cm |
| ISBN: | 9783540693147 9783540693154 |
| DOI: | 10.1007/978-3-540-69315-4 |
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MARC
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| 245 | 1 | 0 | |a Optimal transportation networks |b models and theory |c Marc Bernot ; Vicent Caselles ; Jean-Michel Morel |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2009 | |
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| 490 | 1 | |a Lecture notes in mathematics |v 1955 | |
| 500 | |a Literaturverz. S. 193 - 197 | ||
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Record in the Search Index
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| adam_text | GESCANNT DURCH TABLE OF CONTENTS INTRODUCTION: THE MODELS 1 THE
MATHEMATICAL MODELS 11 2.1 THE MONGE-KANTOROVICH PROBLEM 11 2.2 THE
GILBERT-STEINER PROBLEM 12 2.3 THREE CONTINUOUS EXTENSIONS OF THE
GILBERT-STEINER PROBLEM 13 2.3.1 XIA S TRANSPORT PATHS 13 2.3.2
MADDALENA-SOLIMINI S PATTERNS 14 2.3.3 TRAFFIC PLANS 14 2.4 QUESTIONS
AND ANSWERS 16 2.4.1 PLAN 17 2.5 RELATED PROBLEMS AND MODELS 19 2.5.1
MEASURES ON SETS OF PATHS 19 2.5.2 URBAN TRANSPORTATION MODELS WITH MORE
THAN ONE TRANSPORTATION MEANS 20 TRAFFIC PLANS 25 3.1 PARAMETERIZED
TRAFFIC PLANS 27 3.2 STABILITY PROPERTIES OF TRAFFIC PLANS 29 3.2.1
LOWER SEMICONTINUITY OF LENGTH, STOPPING TIME, AVERAGED LENGTH AND
AVERAGED STOPPING TIME 30 3.2.2 MULTIPLICITY OF A TRAFFIC PLAN AND ITS
UPPER SEMICONTINUITY 31 3.2.3 SEQUENTIAL COMPACTNESS OF TRAFFIC PLANS 33
3.3 APPLICATION TO THE MONGE-KANTOROVICH PROBLEM 34 3.4 ENERGY OF A
TRAFFIC PLAN AND EXISTENCE OF A MINIMIZER 35 THE STRUCTURE OF OPTIMAL
TRAFFIC PLANS 39 4.1 SPEED NORMALIZATION 39 4.2 LOOP-FREE TRAFFIC PLANS
41 4.3 THE GENERALIZED GILBERT ENERGY 42 4.3.1 RECTIFIABILITY OF TRAFFIC
PLANS WITH FINITE ENERGY 44 4.4 APPENDIX: MEASURABILITY LEMMAS 44 VII
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/989061604 DIGITALISIERT
DURCH * * * * * X TABLE OF CONTENTS 14 APPLICATION: EMBEDDED IRRIGATION
NETWORKS 169 14.1 IRRIGATION NETWORKS MADE OF TUBES 169 14.1.1
ANTICIPATING SOME CONCLUSIONS 171 14.2 GETTING BACK TO THE GILBERT
FUNCTIONAL 172 14.3 A CONSEQUENCE OF THE SPACE-FILLING CONDITION 175
14.4 SOURCE TO VOLUME TRANSFER ENERGY 176 14.5 FINAL REMARKS 177 15 OPEN
PROBLEMS 179 15.1 STABILITY 179 15.2 REGULARITY 179 15.3 THE WHO GOES
WHERE PROBLEM 180 15.4 DIRAC TO LEBESGUE SEGMENT 180 15.5 ALGORITHM OR
CONSTRUCTION OF LOCAL OPTIMA 181 15.6 STRUCTURE 182 15.7 SCALING LAWS
183 15.8 LOCAL OPTIMALITY IN THE CASE OF NON IRRIGABILITY 183 A
SKOROKHOD THEOREM 185 B FLOWS IN TUBES 189 B.I POISEUILLE S LAW 189 B.2
OPTIMALITY OF THE CIRCULAR SECTION 190 C NOTATIONS 191 REFERENCES 193
INDEX 199
|
| adam_txt |
GESCANNT DURCH TABLE OF CONTENTS INTRODUCTION: THE MODELS 1 THE
MATHEMATICAL MODELS 11 2.1 THE MONGE-KANTOROVICH PROBLEM 11 2.2 THE
GILBERT-STEINER PROBLEM 12 2.3 THREE CONTINUOUS EXTENSIONS OF THE
GILBERT-STEINER PROBLEM 13 2.3.1 XIA'S TRANSPORT PATHS 13 2.3.2
MADDALENA-SOLIMINI'S PATTERNS 14 2.3.3 TRAFFIC PLANS 14 2.4 QUESTIONS
AND ANSWERS 16 2.4.1 PLAN 17 2.5 RELATED PROBLEMS AND MODELS 19 2.5.1
MEASURES ON SETS OF PATHS 19 2.5.2 URBAN TRANSPORTATION MODELS WITH MORE
THAN ONE TRANSPORTATION MEANS 20 TRAFFIC PLANS 25 3.1 PARAMETERIZED
TRAFFIC PLANS 27 3.2 STABILITY PROPERTIES OF TRAFFIC PLANS 29 3.2.1
LOWER SEMICONTINUITY OF LENGTH, STOPPING TIME, AVERAGED LENGTH AND
AVERAGED STOPPING TIME 30 3.2.2 MULTIPLICITY OF A TRAFFIC PLAN AND ITS
UPPER SEMICONTINUITY 31 3.2.3 SEQUENTIAL COMPACTNESS OF TRAFFIC PLANS 33
3.3 APPLICATION TO THE MONGE-KANTOROVICH PROBLEM 34 3.4 ENERGY OF A
TRAFFIC PLAN AND EXISTENCE OF A MINIMIZER 35 THE STRUCTURE OF OPTIMAL
TRAFFIC PLANS 39 4.1 SPEED NORMALIZATION 39 4.2 LOOP-FREE TRAFFIC PLANS
41 4.3 THE GENERALIZED GILBERT ENERGY 42 4.3.1 RECTIFIABILITY OF TRAFFIC
PLANS WITH FINITE ENERGY 44 4.4 APPENDIX: MEASURABILITY LEMMAS 44 VII
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/989061604 DIGITALISIERT
DURCH * * * * * X TABLE OF CONTENTS 14 APPLICATION: EMBEDDED IRRIGATION
NETWORKS 169 14.1 IRRIGATION NETWORKS MADE OF TUBES 169 14.1.1
ANTICIPATING SOME CONCLUSIONS 171 14.2 GETTING BACK TO THE GILBERT
FUNCTIONAL 172 14.3 A CONSEQUENCE OF THE SPACE-FILLING CONDITION 175
14.4 SOURCE TO VOLUME TRANSFER ENERGY 176 14.5 FINAL REMARKS 177 15 OPEN
PROBLEMS 179 15.1 STABILITY 179 15.2 REGULARITY 179 15.3 THE WHO GOES
WHERE PROBLEM 180 15.4 DIRAC TO LEBESGUE SEGMENT 180 15.5 ALGORITHM OR
CONSTRUCTION OF LOCAL OPTIMA 181 15.6 STRUCTURE 182 15.7 SCALING LAWS
183 15.8 LOCAL OPTIMALITY IN THE CASE OF NON IRRIGABILITY 183 A
SKOROKHOD THEOREM 185 B FLOWS IN TUBES 189 B.I POISEUILLE'S LAW 189 B.2
OPTIMALITY OF THE CIRCULAR SECTION 190 C NOTATIONS 191 REFERENCES 193
INDEX 199 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1007/978-3-540-69315-4 |
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| index_date | 2024-07-02T22:22:39Z |
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| institution | BVB |
| isbn | 9783540693147 9783540693154 |
| language | English |
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| physical | 1 Online-Ressource (X, 200 S.) Ill., graph. Darst. 24 cm |
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| publishDate | 2009 |
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| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Optimal transportation networks models and theory Marc Bernot ; Vicent Caselles ; Jean-Michel Morel Berlin [u.a.] Springer 2009 1 Online-Ressource (X, 200 S.) Ill., graph. Darst. 24 cm txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 1955 Literaturverz. S. 193 - 197 Transportproblem (DE-588)4060694-6 gnd rswk-swf Transportproblem (DE-588)4060694-6 s DE-604 Bernot, Marc Sonstige oth Caselles, Vicent 1960- Sonstige (DE-588)135629985 oth Morel, Jean-Michel 1953- Sonstige (DE-588)136525229 oth Lecture notes in mathematics 1955 (DE-604)BV014303148 1955 https://doi.org/10.1007/978-3-540-69315-4 Verlag Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016792870&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Optimal transportation networks models and theory Lecture notes in mathematics Transportproblem (DE-588)4060694-6 gnd |
| subject_GND | (DE-588)4060694-6 |
| title | Optimal transportation networks models and theory |
| title_auth | Optimal transportation networks models and theory |
| title_exact_search | Optimal transportation networks models and theory |
| title_exact_search_txtP | Optimal transportation networks models and theory |
| title_full | Optimal transportation networks models and theory Marc Bernot ; Vicent Caselles ; Jean-Michel Morel |
| title_fullStr | Optimal transportation networks models and theory Marc Bernot ; Vicent Caselles ; Jean-Michel Morel |
| title_full_unstemmed | Optimal transportation networks models and theory Marc Bernot ; Vicent Caselles ; Jean-Michel Morel |
| title_short | Optimal transportation networks |
| title_sort | optimal transportation networks models and theory |
| title_sub | models and theory |
| topic | Transportproblem (DE-588)4060694-6 gnd |
| topic_facet | Transportproblem |
| url | https://doi.org/10.1007/978-3-540-69315-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016792870&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014303148 |
| work_keys_str_mv | AT bernotmarc optimaltransportationnetworksmodelsandtheory AT casellesvicent optimaltransportationnetworksmodelsandtheory AT moreljeanmichel optimaltransportationnetworksmodelsandtheory |