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Technology selection models for multistage production systems: Joint application of physical system theory and mathematical programming. (English) Zbl 0699.90046

Summary: The concepts of physical system theory and mathematical programming are jointly considered to model multi-stage manufacturing systems. Each stage has a number of alternative technologies. The objective of the present modelling approach is to select an appropriate technology at each stage to minimize the total cost of production subject to continuity, and budget constraints. The resulting nonlinear 0-1 programming model is linearized and illustrated by a simple three stage (having alternative technologies at each stage) manufacturing example. A goal programming model is also developed and solved.

MSC:

90B30 Production models
90C90 Applications of mathematical programming
90C09 Boolean programming
90C30 Nonlinear programming
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