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An attainable region approach for production planning of multiproduct processes
Author(s) -
Sung Charles,
Maravelias Christos T.
Publication year - 2007
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.11167
Subject(s) - production planning , mathematical optimization , time horizon , scheduling (production processes) , production (economics) , linear programming , regular polygon , integer programming , computer science , function (biology) , mathematics , economics , geometry , evolutionary biology , biology , macroeconomics
A novel approach is presented for the solution of production planning problems for multiproduct processes. A mixed‐integer programming (MIP) scheduling model is analyzed off‐line to obtain a convex approximation of feasible production levels and a convex underestimation of total production cost as a function of production levels. The two approximating functions are expressed via linear inequalities that involve only planning variables yet provide all the relevant scheduling information necessary to solve the planning problem with high quality. A rolling horizon algorithm is also presented for generation (if necessary) of detailed schedules. © 2007 American Institute of Chemical Engineers AIChE J, 2007