The lot-sizing problem concerns a manufacturer that needs to solve a production planning problem. The producer must decide at which points in time to set up a production process, and when he/she does, how much to produce. There is a trade-off between inventory costs and costs associated with setting up the production process at some point in time. Traditionally, the lot-sizing model focuses solely on cost minimisation. However, production decisions also affect the environment in many ways. In this dissertation, the classic lot-sizing model is extended into several different directions, in order to take various environmental considerations into account. First, items that are returned from customers are included in the lot-sizing problem, within the context of reverse logistics. These items can be remanufactured to fulfil customer demand. In another extension, a minimum is imposed on the size of a production batch, in order to reduce the pollution associated with producing many small batches. Furthermore, a lot size model is considered in which there is a maximum on the amount of pollutants, such as carbon dioxide. This model can also be seen as a bi-objective lot-sizing problem. The mathematical models that arise from these extensions are fundamentally harder to solve than the classic lot-sizing problem. Several approaches to solving these problems are developed, based on mathematical optimisation techniques such as mixed integer programming, dynamic programming and fully polynomial time approximation schemes.

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Prof.dr. S.L. van de Velde, Copromotors: Dr. Wilco van den Heuvel, Dr. Raf Jans, Erasmus School of Economics (ESE), Erasmus University Rotterdam (EUR), Prof.dr. S. Dauzere-Peres , Prof.dr.ir. R. Dekker
A.P.M. Wagelmans (Albert)
Erasmus University Rotterdam
hdl.handle.net/1765/41330
ERIM Ph.D. Series Research in Management
Erasmus Research Institute of Management

Retel Helmrich, M. J. (2013, October 3). Green Lot-Sizing (No. EPS-2013-291-LIS). ERIM Ph.D. Series Research in Management. Retrieved from http://hdl.handle.net/1765/41330