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The Capacitated Lot-Sizing Problem with Linked Lot Sizes
Management Science, 2003In this paper a new mixed integer programming (MIP) model formulation and its incorporation into a time-oriented decomposition heuristic for the capacitated lot-sizing problem with linked lot sizes (CLSPL) is proposed. The solution approach is based on an extended model formulation and valid inequalities to yield a tight formulation.
Christopher Suerie, Hartmut Stadtler
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Lot Sizing with Randomly Graded Yields
Operations Research, 1997We consider a single inventory item that is graded into one of two quality levels after production. The proportion of grade one units produced in a lot is a random variable assumed to follow the lognormal distribution. Demands for grade 2 may be filled with grade 1 product, but not vice versa.
Nahmias, Steven, Moinzadeh, Kamran
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Lot sizing with carbon emission constraints
European Journal of Operational Research, 2013Abstract This paper introduces new environmental constraints, namely carbon emission constraints, in multi-sourcing lot-sizing problems. These constraints aim at limiting the carbon emission per unit of product supplied with different modes. A mode corresponds to the combination of a production facility and a transportation mode and is characterized ...
Absi, Nabil +4 more
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Production Lot Sizing with Machine Breakdowns
Management Science, 1992Economic lot sizing and batching models often assume reliable manufacturing facilities. In this research, we focus on the effects of machine breakdowns and corrective maintenance on the economic lot sizing decisions. Two production control policies are proposed for coping with these stochastic interferences. The first policy assumes that production of
Harry Groenevelt +2 more
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Lot Size Scheduling using Fuzzy Numbers
International Transactions in Operational Research, 1995Due to imprecision that is often inherent in the estimates of future demand for various products in a batch type production system, there are cases where the lot sizing problem may be more naturally treated using fuzzy concepts. Triangular fuzzy sets may be employed in order to represent qualitative estimates that are expressed linguisticaly.
Pappis, C. P., Karacapilidis, N. I.
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Throughput-Oriented Lot Sizing
CIRP Annals, 1990Abstract Lot sizing is one of the problems the production manager has constantly to decide on in his daily business. The everlasting discussion about the “optimal” lot size reveals that the influence of the lot size distribution on flexibility, lead time, work in process, due time performance and manufacturing cost is not known exactly in a general ...
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Lot-Sizing with Start-Up Times
Management Science, 1998Many practical applications of lot-sizing and scheduling problems involve start-up times. Operations research literature contains but few studies of lot-sizing models that take start-up times explicitly into account. Here, we review some of these studies, discuss the models and their complexity, and we propose further models. We consider in particular
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The Single Item Dynamic Lot Sizing Problem with Minimum Lot Size Restriction
2009In practise, production managers prefer to determine an optimal production plan by using minimum lot size restrictions instead of setup cost [3, 5]. Anderson and Cheah [1] also noticed, that in “lot sizing practice out-of-pocket setup cost are commonly accounted for by specifying a minimum batch size parameter”.
Irena Okhrin, Knut Richter
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Stochastic Lot Sizing Problems
2013In this chapter dynamic lot sizing problems with random demands are discussed. Several approaches to handle uncertainty are presented. Single-item problems as well as multi-item lot sizing problems with limited capacities of a scarce resource are considered. Thereby the focus is on numerically tractable solution approaches.
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