Bipolar method and its modifications

Bipolar is one of the multiple criteria decision analysis methods, proposed by Konarzewska-Gubała (in Archiwum Automatyki i Telemechaniki 32(4):289–300, 1987). The main feature of the method is that alternatives are not compared directly with each other, but they are confronted to the two reference sets of objects: desirable and non-acceptable. Practical application of the method revealed its shortcomings, therefore improvements of the method were desirable. The aim of the paper is to formulate some modifications of the classical Bipolar approach and consider a case where reference sets are numerous. Unified Bipolar procedure which contains classical Bipolar method as well as the modifications described in the paper is given. Numerical illustrations of the modifications and unified approach are also presented

AN INTERACTIVE PROCEDURE FOR AGGREGATE PRODUCTION PLANNING

Minimizing production cost over the planning period is usually assumed to be the objective of aggregate planning. However, other issues of strategic type may be even more important. Smoothing employment levels, driving down inventory levels or meeting high level of service usually are also considered. Thus, aggregate planning problem constitutes a multiple criteria decision making problem. In the paper a new approach for production aggregate planning problem is proposed. The procedure combines linear programming, simulation, and interactive approach. Linear programming models are used to generate initial solutions. In order to check how the fluctuations in demand will affect the results obtained under each of these solutions simulation experiments are performed. Finally, an interactive procedure is used for identifying the final solution of the problem

An interactive approach to the stochastic multiobjective allocation problem

The paper considers the stochastic multiobjective allocation problem. An assumption is made that a particular resource should be allocated to T projects. The specified level of each goal (along with the known probabilities) can be obtained based on the amount of the resources allocated. We will propose an identification strategy procedure that the decision maker can implement. Our technique combines multiobjective dynamic programming and an interactive approach. First, efficient strategies are identified using Bellman\u27s principle applied to the multiobjective problem. Next, a dialog procedure is used to find a solution that is satisfactory for the decision maker. A numerical example is presented to show how the procedure can be applied

AN INTERACTIVE PROCEDURE FOR AGGREGATE PRODUCTION PLANNING

Minimizing production cost over the planning period is usually assumed to be the objective of aggregate planning. However, other issues of strategic type may be even more important. Smoothing employment levels, driving down inventory levels or meeting high level of service usually are also considered. Thus, aggregate planning problem constitutes a multiple criteria decision making problem. In the paper a new approach for production aggregate planning problem is proposed. The procedure combines linear programming, simulation, and interactive approach. Linear programming models are used to generate initial solutions. In order to check how the fluctuations in demand will affect the results obtained under each of these solutions simulation experiments are performed. Finally, an interactive procedure is used for identifying the final solution of the problem