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Multiobjective programming for industrial engineers. (English) Zbl 0934.90072

Avriel, M. (ed.) et al., Mathematical programming for industrial engineers. New York, NY: Marcel Dekker. 487-542 (1996).
This paper is devoted to applications of multiobjective programming in management and decision making. In the first part, the author introduces the main concepts of multiobjective programming such as set of alternatives, criteria and shortly presents solution methods including global criterion method, maximum effectiveness method, goal programming, step method, two-person-zero-sum method and parametric method. The main part of the paper as concerned with the following applications: product planning in a small engine assembly plan, product mix problem in a chocolate manufacturer, job sequencing and scheduling on one machine and on parallel machines, maintenance of machines, and Research-Development project selection.
In all of these applications the author gives in detail the description of the models that involve multiple objectives, the appropriate resolution methods and numerical results.
For the entire collection see [Zbl 0991.90500].

MSC:

90C29 Multi-objective and goal programming
90C90 Applications of mathematical programming
90B50 Management decision making, including multiple objectives
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