The paper presents a method for solving the linear programming problems, which is itself a step towards the generalization of the classical Simlex Method. It replaces two basic variables by two ...

Introduction to mathematical optimization and its applications, linear optimization models, Simplex Algorithm, sensitivity analysis, mixed-integer optimization models, branch-and-bound algorithm, ...

We analyze the problem of finding the first basic solution in the two phases simplex algorithm. Also, a modification and several improvements of the simplex method are introduced. We report ...

Termination Criteria for NLPNMS Since the Nelder-Mead simplex algorithm does not use derivatives, no termination criteria are available that are based on the gradient of the objective function. When ...