This system is solved by a mathematical-programming procedure that minimizes a weighted sum of the absolute values of the residuals (the l1 norm of the vector of residuals).
The objective of the optimization is to minimize the mathematical expectation of asymptotic variances of the p-th quantile corresponding to each possible model; Pascual [62, 63] replaced the asymptotic variance in Chaloner's objective function with an index called asymptotic sample ratio (ASR).
Their optimal objectives are to minimize the mathematical expectation of the asymptotic variance of the MLE of the pth quantile over the prior distributions, and minimize the maximum value of the asymptotic variance of the MLE of the pth quantile over the parameter interval, respectively.
Their methodology included (1) a mathematical model for minimizing the total materials/components travelling distance subject to constraints, such as delivery due dates of products, capacities of resources, and critical tool limitations, and (2) an ant colony optimization method for solving cell formation and production scheduling.
Therefore, we propose a mathematical program to minimize the penalized earliness and tardiness.
A dual-objective two-stage stochastic mixed integer linear program was used as a mathematical model to minimize the costs and downside risk simultaneously, and uncertain hydrogen demand conditions were included.
We formulated the problem as a mathematical model which minimizes the summation of production cost, transportation cost, inventory holding and shortage costs, subject to capacity and inventory balance constraints and propose a hybrid approach combining mathematical programming and simulation model to solve this problem.
The binding data were analyzed by fitting the experimental points to the Eq. (2) using non-linear regression software Scientists from MicroMath Scientific Software Inc., (Saint Louis, Mo) in which χ-function between experimental and theoretical values of a mathematical model is minimized.
New York's law minimizes these costs by establishing a mathematical formula to calculate temporary alimony, which one spouse pays the other while the divorce is pending; it also allows judges to adjust those awards up or down under special circumstances.
Logendran (1993) developed a mathematical programming model to minimize part inter-cell and intra-cell movements and proposed a heuristic algorithm to solve it.
