- Tytuł:
- A Utility Function to Solve Approximate Linear Equations for Decision Making
- Autorzy:
-
Yoneda, K.
Celaschi, W. - Powiązania:
- https://bibliotekanauki.pl/articles/375878.pdf
- Data publikacji:
- 2013
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
individual behavior
inverse problems
simultaneous equations
optimization - Opis:
- Suppose there are a number of decision variables linearly related to a set of outcome variables. There are at least as many outcome variables as the number of decision variables since all decisions are outcomes by themselves. The quality of outcome is evaluated by a utility function. Given desired values for all outcome variables, decision making reduces to “solving” the system of linear equations with respect to the decision variables; the solution being defined as decision variable values such that maximize the utility function. This paper proposes a family of additively separable utility functions which can be defined by setting four intuitive parameters for each outcome variable: the desired value of the outcome, the lower and the upper limits of its admissible interval, and its importance weight. The utility function takes a nonnegative value within the admissible domain and negative outside; permits gradient methods for maximization; is designed to have a small dynamic range for numerical computation. Small examples are presented to illustrate the proposed method.
- Źródło:
-
Decision Making in Manufacturing and Services; 2013, 7, 1-2; 5-18
1896-8325
2300-7087 - Pojawia się w:
- Decision Making in Manufacturing and Services
- Dostawca treści:
- Biblioteka Nauki