{"id":41483,"date":"2025-11-27T10:25:42","date_gmt":"2025-11-27T09:25:42","guid":{"rendered":"https:\/\/www.l3s.de\/?page_id=41483"},"modified":"2025-11-27T11:34:04","modified_gmt":"2025-11-27T10:34:04","slug":"computational-geometry-solving-hard-optimization-problems","status":"publish","type":"page","link":"https:\/\/www.l3s.de\/de\/computational-geometry-solving-hard-optimization-problems\/","title":{"rendered":"Computational Geometry: Solving Hard Optimization Problems"},"content":{"rendered":"<div data-colibri-id=\"41483-c1\" class=\"style-28490 style-local-41483-c1 position-relative\">\n  <!---->\n  <div data-colibri-component=\"section\" data-colibri-id=\"41483-c2\" id=\"reusable-sections\" class=\"h-section h-section-global-spacing d-flex align-items-lg-center align-items-md-center align-items-center style-28491 style-local-41483-c2 position-relative\">\n    <!---->\n    <!---->\n    <div class=\"h-section-grid-container h-section-boxed-container\">\n      <!---->\n      <div data-colibri-id=\"41483-c3\" class=\"h-row-container gutters-row-lg-0 gutters-row-md-0 gutters-row-0 gutters-row-v-lg-0 gutters-row-v-md-0 gutters-row-v-0 style-28492 style-local-41483-c3 position-relative\">\n        <!---->\n        <div class=\"h-row justify-content-lg-center justify-content-md-center justify-content-center align-items-lg-stretch align-items-md-stretch align-items-stretch gutters-col-lg-0 gutters-col-md-0 gutters-col-0 gutters-col-v-lg-0 gutters-col-v-md-0 gutters-col-v-0\">\n          <!---->\n          <div class=\"h-column h-column-container d-flex h-col-lg-auto h-col-md-auto h-col-auto style-28493-outer style-local-41483-c4-outer\">\n            <div data-colibri-id=\"41483-c4\" class=\"d-flex h-flex-basis h-column__inner h-px-lg-2 h-px-md-2 h-px-2 v-inner-lg-2 v-inner-md-2 v-inner-2 style-28493 style-local-41483-c4 position-relative\">\n              <!---->\n              <!---->\n              <div class=\"w-100 h-y-container h-column__content h-column__v-align flex-basis-100 align-self-lg-start align-self-md-start align-self-start\">\n                <!---->\n                <div data-colibri-id=\"41483-c5\" class=\"d-block style-28494 style-local-41483-c5 position-relative h-element\">\n                  <!---->\n                  <div class=\"h-image__frame-container-outer\">\n                    <div class=\"h-image__frame-container\">\n                      <!---->\n                      <!---->\n                      <img decoding=\"async\" width=\"1200\" height=\"800\" data-src=\"https:\/\/www.l3s.de\/wp-content\/uploads\/2023\/03\/project.jpg\" class=\"wp-image-20002 style-28494-image style-local-41483-c5-image lazyload\" alt=\"\" data-srcset=\"https:\/\/www.l3s.de\/wp-content\/uploads\/2023\/03\/project.jpg 1200w, https:\/\/www.l3s.de\/wp-content\/uploads\/2023\/03\/project-300x200.jpg 300w, https:\/\/www.l3s.de\/wp-content\/uploads\/2023\/03\/project-1024x683.jpg 1024w, https:\/\/www.l3s.de\/wp-content\/uploads\/2023\/03\/project-768x512.jpg 768w, https:\/\/www.l3s.de\/wp-content\/uploads\/2023\/03\/project-18x12.jpg 18w\" data-sizes=\"(max-width: 1200px) 100vw, 1200px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 1200px; --smush-placeholder-aspect-ratio: 1200\/800;\" \/>\n                      <div class=\"h-image__frame h-hide-lg h-hide-md h-hide-sm style-28494-frameImage style-local-41483-c5-frameImage\"><\/div>\n                    <\/div>\n                  <\/div>\n                <\/div>\n                <div data-colibri-id=\"41483-c6\" class=\"style-28495 style-local-41483-c6 position-relative h-element\">\n                  <!---->\n                <\/div>\n                <div data-colibri-id=\"41483-c7\" class=\"h-row-container gutters-row-lg-0 gutters-row-md-0 gutters-row-0 gutters-row-v-lg-0 gutters-row-v-md-0 gutters-row-v-0 style-28496 style-local-41483-c7 position-relative\">\n                  <!---->\n                  <div class=\"h-row justify-content-lg-center justify-content-md-center justify-content-center align-items-lg-stretch align-items-md-stretch align-items-stretch gutters-col-lg-0 gutters-col-md-0 gutters-col-0 gutters-col-v-lg-0 gutters-col-v-md-0 gutters-col-v-0\">\n                    <!---->\n                    <div class=\"h-column h-column-container d-flex h-col-lg-auto h-col-md-auto h-col-auto style-28497-outer style-local-41483-c8-outer\">\n                      <div data-colibri-id=\"41483-c8\" class=\"d-flex h-flex-basis h-column__inner h-px-lg-0 h-px-md-0 h-px-0 v-inner-lg-0 v-inner-md-0 v-inner-0 style-28497 style-local-41483-c8 position-relative\">\n                        <!---->\n                        <!---->\n                        <div class=\"w-100 h-y-container h-column__content h-column__v-align flex-basis-100 align-self-lg-start align-self-md-start align-self-start\">\n                          <!---->\n                          <div data-colibri-id=\"41483-c9\" class=\"h-text h-text-component style-28498 style-local-41483-c9 position-relative h-element\">\n                            <!---->\n                            <!---->\n                            <div class=\"\">\n                              <p>Start:<\/p>\n                            <\/div>\n                          <\/div>\n                        <\/div>\n                      <\/div>\n                    <\/div>\n                    <div class=\"h-column h-column-container d-flex h-col-lg-auto h-col-md-auto h-col-auto style-28499-outer style-local-41483-c10-outer\">\n                      <div data-colibri-id=\"41483-c10\" class=\"d-flex h-flex-basis h-column__inner h-px-lg-0 h-px-md-0 h-px-0 v-inner-lg-0 v-inner-md-0 v-inner-0 style-28499 style-local-41483-c10 position-relative\">\n                        <!---->\n                        <!---->\n                        <div class=\"w-100 h-y-container h-column__content h-column__v-align flex-basis-100 align-self-lg-start align-self-md-start align-self-start\">\n                          <!---->\n                          <div data-colibri-id=\"41483-c11\" class=\"h-text h-text-component style-28500 style-local-41483-c11 position-relative h-element\">\n                            <!---->\n                            <!---->\n                            <div class=\"\">\n                              <p>01.01.2026<\/p>\n                            <\/div>\n                          <\/div>\n                        <\/div>\n                      <\/div>\n                    <\/div>\n                  <\/div>\n                <\/div>\n                <div data-colibri-id=\"41483-c12\" class=\"h-row-container gutters-row-lg-0 gutters-row-md-0 gutters-row-0 gutters-row-v-lg-0 gutters-row-v-md-0 gutters-row-v-0 style-28496 style-local-41483-c12 position-relative\">\n                  <!---->\n                  <div class=\"h-row justify-content-lg-center justify-content-md-center justify-content-center align-items-lg-stretch align-items-md-stretch align-items-stretch gutters-col-lg-0 gutters-col-md-0 gutters-col-0 gutters-col-v-lg-0 gutters-col-v-md-0 gutters-col-v-0\">\n                    <!---->\n                    <div class=\"h-column h-column-container d-flex h-col-lg-auto h-col-md-auto h-col-auto style-28497-outer style-local-41483-c13-outer\">\n                      <div data-colibri-id=\"41483-c13\" class=\"d-flex h-flex-basis h-column__inner h-px-lg-0 h-px-md-0 h-px-0 v-inner-lg-0 v-inner-md-0 v-inner-0 style-28497 style-local-41483-c13 position-relative\">\n                        <!---->\n                        <!---->\n                        <div class=\"w-100 h-y-container h-column__content h-column__v-align flex-basis-100 align-self-lg-start align-self-md-start align-self-start\">\n                          <!---->\n                          <div data-colibri-id=\"41483-c14\" class=\"h-text h-text-component style-28498 style-local-41483-c14 position-relative h-element\">\n                            <!---->\n                            <!---->\n                            <div class=\"\">\n                              <p>Ende:<\/p>\n                            <\/div>\n                          <\/div>\n                        <\/div>\n                      <\/div>\n                    <\/div>\n                    <div class=\"h-column h-column-container d-flex h-col-lg-auto h-col-md-auto h-col-auto style-28499-outer style-local-41483-c15-outer\">\n                      <div data-colibri-id=\"41483-c15\" class=\"d-flex h-flex-basis h-column__inner h-px-lg-0 h-px-md-0 h-px-0 v-inner-lg-0 v-inner-md-0 v-inner-0 style-28499 style-local-41483-c15 position-relative\">\n                        <!---->\n                        <!---->\n                        <div class=\"w-100 h-y-container h-column__content h-column__v-align flex-basis-100 align-self-lg-start align-self-md-start align-self-start\">\n                          <!---->\n                          <div data-colibri-id=\"41483-c16\" class=\"h-text h-text-component style-28500 style-local-41483-c16 position-relative h-element\">\n                            <!---->\n                            <!---->\n                            <div class=\"\">\n                              <p>30.12.2028<\/p>\n                            <\/div>\n                          <\/div>\n                        <\/div>\n                      <\/div>\n                    <\/div>\n                  <\/div>\n                <\/div>\n                <div data-colibri-id=\"41483-c17\" class=\"h-row-container gutters-row-lg-0 gutters-row-md-0 gutters-row-0 gutters-row-v-lg-0 gutters-row-v-md-0 gutters-row-v-0 style-28496 style-local-41483-c17 position-relative\">\n                  <!---->\n                  <div class=\"h-row justify-content-lg-center justify-content-md-center justify-content-center align-items-lg-stretch align-items-md-stretch align-items-stretch gutters-col-lg-0 gutters-col-md-0 gutters-col-0 gutters-col-v-lg-0 gutters-col-v-md-0 gutters-col-v-0\">\n                    <!---->\n                    <div class=\"h-column h-column-container d-flex h-col-lg-auto h-col-md-auto h-col-auto style-28497-outer style-local-41483-c18-outer\">\n                      <div data-colibri-id=\"41483-c18\" class=\"d-flex h-flex-basis h-column__inner h-px-lg-0 h-px-md-0 h-px-0 v-inner-lg-0 v-inner-md-0 v-inner-0 style-28497 style-local-41483-c18 position-relative\">\n                        <!---->\n                        <!---->\n                        <div class=\"w-100 h-y-container h-column__content h-column__v-align flex-basis-100 align-self-lg-start align-self-md-start align-self-start\">\n                          <!---->\n                          <div data-colibri-id=\"41483-c19\" class=\"h-text h-text-component style-28498 style-local-41483-c19 position-relative h-element\">\n                            <!---->\n                            <!---->\n                            <div class=\"\">\n                              <p>Webseite:<\/p>\n                            <\/div>\n                          <\/div>\n                        <\/div>\n                      <\/div>\n                    <\/div>\n                    <div class=\"h-column h-column-container d-flex h-col-lg-auto h-col-md-auto h-col-auto style-28499-outer style-local-41483-c20-outer\">\n                      <div data-colibri-id=\"41483-c20\" class=\"d-flex h-flex-basis h-column__inner h-px-lg-0 h-px-md-0 h-px-0 v-inner-lg-0 v-inner-md-0 v-inner-0 style-28499 style-local-41483-c20 position-relative\">\n                        <!---->\n                        <!---->\n                        <div class=\"w-100 h-y-container h-column__content h-column__v-align flex-basis-100 align-self-lg-start align-self-md-start align-self-start\">\n                          <!---->\n                          <div data-colibri-id=\"41483-c21\" class=\"h-x-container style-28501 style-local-41483-c21 position-relative h-element\">\n                            <!---->\n                            <div class=\"h-x-container-inner style-dynamic-41483-c21-group style-28501-spacing style-local-41483-c21-spacing\"><span class=\"h-link__outer style-28502-outer style-local-41483-c22-outer d-inline-flex h-element\"><a h-use-smooth-scroll=\"true\" href=\"\" target=\"_blank\"  data-colibri-id=\"41483-c22\" class=\"d-flex w-100 align-items-center h-link style-28502 style-local-41483-c22 position-relative\"><!----><!----> <span>&#8211;<\/span><\/a>\n                              <\/span>\n                            <\/div>\n                          <\/div>\n                        <\/div>\n                      <\/div>\n                    <\/div>\n                  <\/div>\n                <\/div>\n              <\/div>\n            <\/div>\n          <\/div>\n          <div class=\"h-column h-column-container d-flex h-col-lg-auto h-col-md-auto h-col-auto style-28503-outer style-local-41483-c23-outer\">\n            <div data-colibri-id=\"41483-c23\" class=\"d-flex h-flex-basis h-column__inner h-px-lg-0 h-px-md-0 h-px-0 v-inner-lg-0 v-inner-md-0 v-inner-0 style-28503 style-local-41483-c23 position-relative\">\n              <!---->\n              <!---->\n              <div class=\"w-100 h-y-container h-column__content h-column__v-align flex-basis-100 align-self-lg-start align-self-md-start align-self-start\">\n                <!---->\n                <div data-colibri-id=\"41483-c24\" class=\"style-28504 style-local-41483-c24 h-hide-lg position-relative h-element\">\n                  <!---->\n                <\/div>\n                <div data-colibri-id=\"41483-c25\" class=\"h-row-container gutters-row-lg-1 gutters-row-md-1 gutters-row-0 gutters-row-v-lg-1 gutters-row-v-md-1 gutters-row-v-1 style-28505 style-local-41483-c25 position-relative\">\n                  <!---->\n                  <div class=\"h-row justify-content-lg-center justify-content-md-center justify-content-center align-items-lg-stretch align-items-md-stretch align-items-stretch gutters-col-lg-1 gutters-col-md-1 gutters-col-0 gutters-col-v-lg-1 gutters-col-v-md-1 gutters-col-v-1\">\n                    <!---->\n                    <div class=\"h-column h-column-container d-flex h-col-lg-12 h-col-md-12 h-col-12 style-28506-outer style-local-41483-c26-outer\">\n                      <div data-colibri-id=\"41483-c26\" class=\"d-flex h-flex-basis h-column__inner h-px-lg-1 h-px-md-1 h-px-1 v-inner-lg-1 v-inner-md-1 v-inner-1 style-28506 style-local-41483-c26 position-relative\">\n                        <!---->\n                        <!---->\n                        <div class=\"w-100 h-y-container h-column__content h-column__v-align flex-basis-100 align-self-lg-start align-self-md-start align-self-start\">\n                          <!---->\n                          <div data-colibri-id=\"41483-c27\" class=\"h-global-transition-all h-heading style-28507 style-local-41483-c27 position-relative h-element\">\n                            <!---->\n                            <div class=\"h-heading__outer style-28507 style-local-41483-c27\">\n                              <!---->\n                              <!---->\n                              <h2 class=\"\">CG:SHOP<\/h2>\n                            <\/div>\n                          <\/div>\n                          <div data-colibri-id=\"41483-c28\" class=\"h-text h-text-component style-28508 style-local-41483-c28 position-relative h-element\">\n                            <!---->\n                            <!---->\n                            <div class=\"\">\n                              <p>Computational Geometry: Solving Hard Optimization Problems<\/p>\n                            <\/div>\n                          <\/div>\n                          <div data-colibri-id=\"41483-c29\" class=\"style-28509 style-local-41483-c29 position-relative h-element\">\n                            <!---->\n                          <\/div>\n                          <div data-colibri-id=\"41483-c30\" class=\"h-text h-text-component style-28510 style-local-41483-c30 position-relative h-element\">\n                            <!---->\n                            <!---->\n                            <div class=\"\">\n                              <p>Das Ziel von CG:SHOP (Computational Geometry: Solving Hard Optimization Problems) ist es, theoretische Methoden aus der algorithmischen Geometrie und der mathematischen Optimierung mit praktischen Techniken aus dem Algorithm Engineering zu kombinieren, um nachweislich gute L\u00f6sungen f\u00fcr Instanzen relevanter Gr\u00f6\u00dfe f\u00fcr schwierige Probleme von praktischer Relevanz zu erzielen. In der ersten Phase (2020-25) haben wir eine Vielzahl spezifischer geometrischer Optimierungsprobleme (wie Abdeckung und Streuung, Strukturprobleme und Tourenprobleme) sowie allgemeinere Aspekte (wie Sparsifizierung, Fehler und Zielfunktionen sowie Toolbox) betrachtet, was bisher zu etwa 20 Ver\u00f6ffentlichungen gef\u00fchrt hat, mit weiteren 25+ Artikeln anderer Autoren.<\/p>\n                              <p>In der zweiten Phase (die im Januar 2026 beginnt) untersuchen wir eine Reihe spezifischer Problembereiche auf der Grundlage von Struktur-, Tour-, Abdeckungs- und Packungsproblemen und verfolgen universellere Perspektiven, durch die Entwicklung allgemeiner Methoden f\u00fcr die L\u00f6sungs- und Instanzraumanalyse sowie durch Aktivit\u00e4ten in der globalen Forschungsgemeinschaft.<\/p>\n                            <\/div>\n                          <\/div>\n                          <div data-colibri-id=\"41483-c31\" class=\"style-28511 style-local-41483-c31 position-relative h-element\">\n                            <!---->\n                          <\/div>\n                          <div data-toggle=\"false\" data-is-preview=\"true\" data-colibri-component=\"accordion\" data-colibri-id=\"41483-c32\" class=\"h-accordion style-28512 style-local-41483-c32 position-relative h-element\">\n                            <!---->\n                            <div data-colibri-id=\"41483-c33\" class=\"h-accordion-item h-accordion-item-first-child style-28513 style-local-41483-c33 position-relative h-element\">\n                              <!---->\n                              <a data-open-by-default=\"false\" href=\"#41483-c33\" class=\"h-accordion-item-title d-flex align-items-center h-global-transition\">\n                                <!----><span>F\u00f6rderprogramm<\/span>\n                                <div class=\"h-accordion-item-title-normal-icon h-accordion-item-title-icon h-accordion-item-title-icon-right\"><span class=\"h-svg-icon\"><!--Icon by Icons8 Line Awesome (https:\/\/icons8.com\/line-awesome)--><svg version=\"1.1\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"plus\" viewbox=\"0 0 512 545.5\"><path d=\"M240 112h32v160h160v32H272v160h-32V304H80v-32h160V112z\"><\/path><\/svg><\/span><\/div>\n                                <div class=\"h-accordion-item-title-active-icon h-accordion-item-title-icon h-accordion-item-title-icon-right\"><span class=\"h-svg-icon\"><!--Icon by Icons8 Line Awesome (https:\/\/icons8.com\/line-awesome)--><svg version=\"1.1\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"minus\" viewbox=\"0 0 512 545.5\"><path d=\"M80 272h352v32H80v-32z\"><\/path><\/svg><\/span><\/div>\n                              <\/a>\n                              <div id=\"41483-c33\" class=\"h-accordion-item-content__container\">\n                                <div class=\"w-100 h-y-container h-accordion-item-content\">\n                                  <!---->\n                                  <div data-colibri-id=\"41483-c34\" class=\"h-text h-text-component style-28514 style-local-41483-c34 position-relative h-element\">\n                                    <!---->\n                                    <!---->\n                                    <div class=\"\">\n                                      <p>DFG<\/p>\n                                    <\/div>\n                                  <\/div>\n                                <\/div>\n                              <\/div>\n                            <\/div>\n                            <div data-colibri-id=\"41483-c35\" class=\"h-accordion-item style-28515 style-local-41483-c35 position-relative h-element\">\n                              <!---->\n                              <a data-open-by-default=\"false\" href=\"#41483-c35\" class=\"h-accordion-item-title d-flex align-items-center h-global-transition\">\n                                <!----><span>Projektpartner<\/span>\n                                <div class=\"h-accordion-item-title-normal-icon h-accordion-item-title-icon h-accordion-item-title-icon-right\"><span class=\"h-svg-icon\"><!--Icon by Icons8 Line Awesome (https:\/\/icons8.com\/line-awesome)--><svg version=\"1.1\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"plus\" viewbox=\"0 0 512 545.5\"><path d=\"M240 112h32v160h160v32H272v160h-32V304H80v-32h160V112z\"><\/path><\/svg><\/span><\/div>\n                                <div class=\"h-accordion-item-title-active-icon h-accordion-item-title-icon h-accordion-item-title-icon-right\"><span class=\"h-svg-icon\"><!--Icon by Icons8 Line Awesome (https:\/\/icons8.com\/line-awesome)--><svg version=\"1.1\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"minus\" viewbox=\"0 0 512 545.5\"><path d=\"M80 272h352v32H80v-32z\"><\/path><\/svg><\/span><\/div>\n                              <\/a>\n                              <div id=\"41483-c35\" class=\"h-accordion-item-content__container\">\n                                <div class=\"w-100 h-y-container h-accordion-item-content h-ui-empty-state-container\">\n                                  <!---->\n                                <\/div>\n                              <\/div>\n                            <\/div>\n                          <\/div>\n                          <div data-colibri-id=\"41483-c37\" class=\"style-28517 style-local-41483-c37 position-relative h-element\">\n                            <!---->\n                          <\/div>\n                        <\/div>\n                      <\/div>\n                    <\/div>\n                  <\/div>\n                <\/div>\n                <div data-colibri-id=\"41483-c38\" class=\"h-row-container gutters-row-lg-1 gutters-row-md-1 gutters-row-0 gutters-row-v-lg-1 gutters-row-v-md-1 gutters-row-v-1 style-28518 style-local-41483-c38 position-relative\">\n                  <!---->\n                  <div class=\"h-row justify-content-lg-start justify-content-md-center justify-content-start align-items-lg-stretch align-items-md-stretch align-items-stretch gutters-col-lg-1 gutters-col-md-1 gutters-col-0 gutters-col-v-lg-1 gutters-col-v-md-1 gutters-col-v-1\">\n                    <!---->\n                    <div class=\"h-column h-column-container d-flex h-col-lg-auto h-col-md-auto h-col-auto style-28519-outer style-local-41483-c39-outer\">\n                      <div data-colibri-id=\"41483-c39\" class=\"d-flex h-flex-basis h-column__inner h-px-lg-2 h-px-md-2 h-px-2 v-inner-lg-2 v-inner-md-2 v-inner-2 style-28519 style-local-41483-c39 position-relative\">\n                        <!---->\n                        <!---->\n                        <div class=\"w-100 h-y-container h-column__content h-column__v-align flex-basis-100 align-self-lg-start align-self-md-center align-self-start\">\n                          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[&hellip;]<\/p>","protected":false},"author":13,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-templates\/full-width-page.php","meta":{"_acf_changed":false,"footnotes":""},"categories":[10],"tags":[46,228,26],"class_list":["post-41483","page","type-page","status-publish","hentry","category-news","tag-fekete","tag-geometry","tag-project"],"acf":[],"aioseo_notices":[],"publishpress_future_action":{"enabled":true,"date":"2029-02-28 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