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Optimal job splitting on a multi-slot machine with applications in the printing industry

Ekici Ali , Ergun Özlem, Keskinocak Pınar , Lagoudakis Michael

Απλή Εγγραφή


URIhttp://purl.tuc.gr/dl/dias/E54F1BB3-63CF-4925-9E93-18A9DBB358BD-
Αναγνωριστικόhttps://doi.org/10.1002/nav.20396-
Γλώσσαen-
Μέγεθος14en
ΤίτλοςOptimal job splitting on a multi-slot machine with applications in the printing industryen
ΔημιουργόςEkici Ali en
Δημιουργός Ergun Özlemen
ΔημιουργόςKeskinocak Pınar en
ΔημιουργόςLagoudakis Michaelen
ΔημιουργόςΛαγουδακης Μιχαηλel
ΕκδότηςWileyen
ΠεριγραφήΔημοσίευση σε επιστημονικό περιοδικό el
ΠερίληψηIn this article, we define a scheduling/packing problem called the Job Splitting Problem, motivated by the practices in the printing industry. There are n types of items to be produced on an m-slot machine. A particular assignment of the types to the slots is called a “run” configuration and requires a setup cost. Once a run begins, the production continues according to that configuration and the “length” of the run represents the quantity produced in each slot during that run. For each unit of production in excess of demand, there is a waste cost. Our goal is to construct a production plan, i.e., a set of runs, such that the total setup and waste cost is minimized. We show that the problem is strongly NP-hard and propose two integer programming formulations, several preprocessing steps, and two heuristics. We also provide a worst-case bound for one of the heuristics. Extensive tests on real-world and randomly generated instances show that the heuristics are both fast and effective, finding near-optimal solutions. en
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2015-10-27-
Ημερομηνία Δημοσίευσης2010-
Θεματική Κατηγορίαjob splittingen
Θεματική Κατηγορίαapproximationen
Θεματική Κατηγορίαprinting industryen
Βιβλιογραφική ΑναφοράA. Ekici , O.Ergun , P.Keskinocak, M. Lagoudakis, "Optimal job splitting on a multi-slot machine with applications in the printing industry ," Naval Research Logistics, vol. 57, no. 3, pp. 237–251, Apr. 2010. doi: 10.1002/nav.20396en

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