scholarly journals Advanced Production Planning Models

2000 ◽  
Author(s):  
DEAN A. JONES ◽  
CRAIG R. LAWTON ◽  
EDWIN A. KJELDGAARD ◽  
STEPHEN TROY WRIGHT ◽  
MARK A. TURNQUIST ◽  
...  

2007 ◽  
Vol 37 (10) ◽  
pp. 2010-2021 ◽  
Author(s):  
Samuel D. Pittman ◽  
B. Bruce Bare ◽  
David G. Briggs

Forest planning models have increased in size and complexity as planners address a growing array of economic, ecological, and societal issues. Hierarchical production models offer a means of better managing these large and complex models. Hierarchical production planning models decompose large models into a set of smaller linked models. For example, in this paper, a Lagrangian relaxation formulation and a modified Dantzig–Wolfe decomposition – column generation routine are used to solve a hierarchical forest planning model that maximizes the net present value of harvest incomes while recognizing specific geographical units that are subject to harvest flow and green-up constraints. This allows the planning model to consider forest-wide constraints such as harvest flow, as well as address separate subproblems for each contiguous management zone for which detailed spatial plans are computed. The approach taken in this paper is different from past approaches in forest hierarchical planning because we start with a single model and derive a hierarchical model that addresses integer subproblems using Dantzig–Wolfe decomposition. The decomposition approach is demonstrated by analyzing a set of randomly generated planning problems constructed from a large forest and land inventory data set.





1968 ◽  
Vol 4 (3) ◽  
pp. 257-261
Author(s):  
G. V. Ul'yanov ◽  
G. P. Sheremet'ev ◽  
A. A. Lazarev


Author(s):  
Harvey M. Wagner ◽  
Vincent A. Vargas ◽  
Narinder N. Kathuria


Forests ◽  
2020 ◽  
Vol 11 (12) ◽  
pp. 1256
Author(s):  
Matthias Kaltenbrunner ◽  
Maria Anna Huka ◽  
Manfred Gronalt

Production planning models for the primary wood industry have been proposed for several decades. However, the majority of the research to date is concentrated on individual cases. This paper presents an integrated adaptive modelling framework that combines the proposed approaches and identifies evolving planning situations. With this conceptual modelling approach, a wide range of planning issues can be addressed by using a solid model basis. A planning grid along the time and resource dimensions is developed and four illustrative and interdependent application cases are described. The respective mathematical programming models are also presented in the paper and the prerequisites for industrial implementation are shown.



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