{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T11:11:03Z","timestamp":1680261063149},"reference-count":30,"publisher":"Walter de Gruyter GmbH","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,6,26]]},"abstract":"<jats:title>Zusammenfassung<\/jats:title>\n               <jats:p>Eine Schw\u00e4che vieler linearer Optimierungsans\u00e4tze f\u00fcr die Produktionsplanung besteht darin, dass sie nicht in der Lage sind, den nichtlinearen Zusammenhang zwischen Umlaufbestand und Durchlaufzeit korrekt abzubilden. Der Umlaufbestand wird dabei durch die auf Bearbeitung wartenden bzw. sich in Bearbeitung befindlichen Jobs gebildet. Nichtlineare Auslastungsfunktionen modellieren diesen Zusammenhang und haben sich als vielversprechend f\u00fcr die Entwicklung effektiver Formulierungen erwiesen. Die Verwendung von Auslastungsfunktionen f\u00fchrt aber zu viel gr\u00f6\u00dferen Modellen als f\u00fcr konventionelle Produktionsplanungsformulierungen mit festen Durchlaufzeiten. Au\u00dferdem ist erheblicher Aufwand erforderlich, um die Auslastungsfunktionen zu ermitteln. Dieser Artikel untersucht die Leistungsf\u00e4higkeit von reduzierten Modellen, bei denen lediglich eine Teilmenge der potentiell kritischen Maschinengruppen durch Auslastungsfunktionen repr\u00e4sentiert wird, in Bezug auf Kosten und Gewinn. Simulationsexperimente f\u00fcr ein Modell einer gro\u00dfen Halbleiterfabrik zeigen, dass sogar dann reduzierte Modelle wesentlich weniger leistungsf\u00e4hig sind als Modelle, in denen f\u00fcr alle Maschinengruppen Auslastungsfunktionen verwendet werden, wenn 75\u2009% des Umlaufbestands an Maschinengruppen mit Auslastungsfunktionen anfallen. Diese Ergebnisse belegen, dass die Interaktionen zwischen den Maschinengruppen komplex sind und Modelle, die nur eine eingeschr\u00e4nkte Anzahl von Auslastungsfunktionen verwenden, zu einer falschen Einsch\u00e4tzung der Leistungsf\u00e4higkeit des Produktionssystems f\u00fchren k\u00f6nnen. Das beobachtete Verhalten wird durch Analyse der Dualvariablen, die zu den Maschinengruppen geh\u00f6ren, erkl\u00e4rt.<\/jats:p>","DOI":"10.1515\/auto-2018-0109","type":"journal-article","created":{"date-parts":[[2019,6,12]],"date-time":"2019-06-12T09:03:07Z","timestamp":1560330187000},"page":"455-467","source":"Crossref","is-referenced-by-count":0,"title":["Problemreduzierungsans\u00e4tze f\u00fcr die Produktionsplanung unter Verwendung von Auslastungsfunktionen"],"prefix":"10.1515","volume":"67","author":[{"given":"N. Baris","family":"Kacar","sequence":"first","affiliation":[{"name":"North Carolina State University , Edward P. 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