In this paper, a multiobjective decision-making process is modeled by a multiobjective fuzzy linear programming problem with fuzzy coefficients for the objectives and the constraints. Moreover, the decision var
Achieve world-record speed on large-scale problems with millions of constraints and variables—saving time, and reducing costs.
To overcome the limit of LP problems, we can formulate a Non-Linear Programming (NLP) problem when not all the objective functions, variables and constraints are not necessarily in the form of linear functions. Some NLP problems can achieve an optimal solution, whereas some others do not [70...
Linear Programming Linear programing is a concept in the mathematics theory which helps in calculation of the values of the variables when there are two or more equations given along with the constraints. It includes calculation with graphs and without graphs. Answer and Explanation: a...
Achieve world-record speed on large-scale problems with millions of constraints and variables—saving time, and reducing costs.
Achieve world-record speed on large-scale problems with millions of constraints and variables—saving time, and reducing costs.
Assuming that the {eq}z_j {/eq} are decision variables, determine whether each of the following optimization models is best described as a linear program (LP), a nonlinear program (NLP), an integer linear program (ILP), or an integer nonlinear program ...
They showed that this problem is NP-hard even in the case where the uncertainty set is a polyhedron and the decision dependence is affine. RLP-DDU can be reformulated as a mixed integer linear program (MILP), if the decision variables affect uncertain variables by controlling the upper bounds...
J. Gang et al. studied a multiproject resource allocation problem in a bilevel organization. To solve the problem, a bilevel multiproject resource allocation model with fuzzy or random variables was established, in which the opinions of decision makers from two levels were considered. On the up...
Thanks to the epoch-making contributions achieved by Zadeh [31], the qualitative decision making became a reality with the fuzzy linguistic approach in which all the decision variables are words or sentences in a natural or artificial language but not in the traditional numerical crisp values. ...