Sentence examples for fractional objective from inspiring English sources
The resulting problem is a multi-objective mixed-integer nonlinear fractional programming (MINLFP) problem, which consists of fractional objective function and nonconvex nonlinear constraints.
This paper develops an efficient algorithm to solve a mathematical programming problem with a linear fractional objective function that models changing DM preferences and linear constraints.
For the outer-tier iteration, we first employ the Dinkelbach method to convert the fractional objective function into a polynomial form, and then transform the optimization problem into a difference of concave (DC) programming.
Swarm Intelligence can be denoted as an effective technique for solving linear or nonlinear, non-differentiable fractional objective functions.
In this paper, we investigate a tri-level programming problem with quadratic fractional objective functions at each of the three levels.
In this article, we have considered linear fractional bi-level multi-objective decision-making (BL-MODM) problem where each level DM possesses multiple linear fractional objective functions with common linear constraints.
Practical optimization situations involving multilevel with fractional objectives have been rare, but such problems can be encountered in the most complex design, pattern recognition, control theory, and resource allocation situations (Mohamed 1997).
Theorem 1 is proved in Appendix 1. From Theorem 1, we know that for an optimization problem with a fractional form objective function, there exists an equivalent objective function in subtractive form.
Then, we establish optimality conditions for a nonlinear fractional multiple objective programming problem (VFP) involving weaker E-η-semidifferentiable functions.
In [14], optimality and duality were further studied for a fractional multiple objective programming involving semilocal E-convexity.
Based on the results of [8, 9], Preda further established optimality conditions and duality results for a nonlinear fractional multiple objective programming problem with semilocal preinvex functions involving η-semidifferentiability in [10].
