Article ID: | iaor20032291 |
Country: | Germany |
Volume: | 24 |
Issue: | 3 |
Start Page Number: | 315 |
End Page Number: | 341 |
Publication Date: | Jan 2002 |
Journal: | OR Spektrum |
Authors: | Kallrath J. |
Keywords: | programming: integer |
We describe and solve a real world problem in chemical industry which combines operational planning with strategic aspects. In our simultaneous strategic & operational planning (SSDOP) approach we develop a model based on mixed-integer linear (MILP) optimization and apply it to a real-world problem; the appproach seems to be applicable in many other situations provided that people in production planning, process development, strategic and financial planning departments cooperate. The problem is related to the supply chain management of a multi-site production network in which production units are subject to purchase, opening or shutdown decisions leading to an MILP model based on a time-indexed formulation. Besides the framework of the SSDOP approach and consistent net present value calculations, this model includes two additional special and original features: a detailed nonlinear price structure for the raw material purchase model, and a detailed discussion of transport times with respect to the time discretization scheme involving a probability concept. In a maximizing net profit scenario the client reports cost saving of several millions US$. The strategic feature present in the model is analyzed in a consistent framework based on the operational planning model, and vice versa. The demand driven operational planning part links consistently to and influences the strategic. Since the results (strategic decisions or designs) have consequences for many years, and depend on demand forecast, raw material availability, and expected costs or sales prices, a careful sensitivity analysis is necessary showing how stable the decisions might be with respect to these input data.