Equivalence classes of problem instances for a continuous-time lot sizing and scheduling problem

2009 ◽  
Vol 199 (1) ◽  
pp. 139-149 ◽  
Author(s):  
Andreas Weidenhiller ◽  
Herbert Jodlbauer
Keyword(s):  
Continuous Time ◽  
Lot Sizing ◽  
Equivalence Classes ◽  
Scheduling Problem ◽  
Problem Instances ◽  
Lot Sizing And Scheduling

scholarly journals The Synchronized and Integrated Two-Level Lot Sizing and Scheduling Problem: Evaluating the Generalized Mathematical Model

2015 ◽  
Vol 2015 ◽  
pp. 1-18 ◽  
Author(s):  
Claudio F. M. Toledo ◽  
Alf Kimms ◽  
Paulo M. França ◽  
Reinaldo Morabito
Keyword(s):  
Mathematical Model ◽  
Lot Sizing ◽  
Raw Materials ◽  
Soft Drink ◽  
Scheduling Problem ◽  
Production Lines ◽  
Modeling Methodology ◽  
Synchronization Problem ◽  
Problem Instances ◽  
Lot Sizing And Scheduling

This paper presents the synchronized and integrated two-level lot sizing and scheduling problem (SITLSP). This problem is found in beverage production, foundry, glass industry, and electrofused grains, where the production processes have usually two interdependent levels with sequence-dependent setups in each level. For instance, in the first level of soft drink production, raw materials are stored in tanks flowing to production lines in the second level. The amount and the time the raw materials and products have to be stored and produced should be determined. A synchronization problem occurs because the production in lines and the storage in tanks have to be compatible with each other throughout the time horizon. The SITLSP and its mathematical model are described in detail by this paper. The lack of similar models in the literature has led us to also propose a set of instances for the SITLSP, based on data provided by a soft drink company. Thus, a set of benchmark results for these problem instances are established using an exact method available in an optimization package. Moreover, results for two relaxations proved that the modeling methodology could be useful in real-world applications.

A heuristic based on mathematical programming for a lot-sizing and scheduling problem in mold-injection production

2020 ◽  
Vol 284 (3) ◽  
pp. 861-873 ◽  
Author(s):  
Yasmín Á Ríos-Solís ◽  
Omar J. Ibarra-Rojas ◽  
Marta Cabo ◽  
Edgar Possani
Keyword(s):  
Mathematical Programming ◽  
Lot Sizing ◽  
Scheduling Problem ◽  
Lot Sizing And Scheduling
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