The main method of solving multi-objective programming is changing multi-objective programming problem into single objective programming problem, and then get Pareto optimal solution. Conversely, whether all Pareto optimal solutions can be obtained through appropriate method, generally the answer is negative. In this paper, the methods of norm ideal point and membership function are used to sol...

in this paper, we consider a flow shop scheduling problem with availability constraints (fsspac) for the objective of minimizing the makespan. in such a problem, machines are not continuously available for processing jobs due to preventive maintenance activities. we proposed a mixed-integer linear programming (milp) model for this problem which can generate non-permutation schedules. furthermor...

We introduce a medical control model, in the sense of an optimal control problem, which simulates the interaction of immune system with Human Immunodeficiency Virus (HIV) . This model shows the strategy of chemotherapy treatment. In fact, the simulated optimal control pair, (u1,u2) control the percentage effect of the chemotherapy on the CD4 + T cells and the virus production . An objective fun...