This study analyzes the sensitivity analysis using shadow price of plastic products. This is based on a research carried out to study optimization problem of BOPLAS, a plastic industry in Maiduguri, North eastern Nige...This study analyzes the sensitivity analysis using shadow price of plastic products. This is based on a research carried out to study optimization problem of BOPLAS, a plastic industry in Maiduguri, North eastern Nigeria. Simplex method of Linear programming is employed to formulate the equations which were solved by using costenbol software. Sensitivity analysis using shadow price reveals that the price of wash hand bowls is critical to the net benefit (profit) of the company.展开更多
In this paper, we study sensitivity analysis of bilevel linear programming. Twocases of the leader’s objective function and the right-hand side of the constraints includingparameters are discussed separately. We pres...In this paper, we study sensitivity analysis of bilevel linear programming. Twocases of the leader’s objective function and the right-hand side of the constraints includingparameters are discussed separately. We presellt a necessary and sufficient optimalitycondition for an optimal solution to a bilevel linear programming problem and its equivalentexpression in nonconvex quadratic programming. The necessary and sufficient conditionsare proposed to guarantee that the current optimal solution or the corresponding basisremains optimal when the parameters vary. An algorithm is also proposed to determinethe set of the parameters which leaves the current optimal solution optimal or -optimal.展开更多
文摘This study analyzes the sensitivity analysis using shadow price of plastic products. This is based on a research carried out to study optimization problem of BOPLAS, a plastic industry in Maiduguri, North eastern Nigeria. Simplex method of Linear programming is employed to formulate the equations which were solved by using costenbol software. Sensitivity analysis using shadow price reveals that the price of wash hand bowls is critical to the net benefit (profit) of the company.
文摘In this paper, we study sensitivity analysis of bilevel linear programming. Twocases of the leader’s objective function and the right-hand side of the constraints includingparameters are discussed separately. We presellt a necessary and sufficient optimalitycondition for an optimal solution to a bilevel linear programming problem and its equivalentexpression in nonconvex quadratic programming. The necessary and sufficient conditionsare proposed to guarantee that the current optimal solution or the corresponding basisremains optimal when the parameters vary. An algorithm is also proposed to determinethe set of the parameters which leaves the current optimal solution optimal or -optimal.
