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Erschienen in:
2011 | OriginalPaper | Buchkapitel
19. Production Planning in the Linear Programming Model: Linear Programming
verfasst von : Svend Rasmussen
Erschienen in: Production Economics
Verlag: Springer Berlin Heidelberg
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Abstract
This chapter discusses how the linear programming model that was introduced in Chap. 18 can be used as a basis for production planning. Using the concepts already described in Chap. 18, the production planning problem can be briefly defined as the act of determining the value of the intensity vector x which is used to maximise the company’s total financial result, i.e. whereby c is a [n × 1] vector of the financial results of the unit processes, and x is a [n × 1] vector of intensities for the possible production processes. As can be seen, (19.1) is a linear function with no maximum (the c
i
’s are presumed to be >0). The production planning problem is, therefore, only relevant if the company’s production is subject to certain restrictions. In the short and medium run, the production will be restricted by the quantity of fixed input factors available to the company. The maximisation in (19.1) must thus be carried out under the constraint that the consumption of the input does not exceed the available quantity.