多目標計画法の応用に関する研究 : 人工血管についての外科医療への適用

概要

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In the grafting operation of vascular prostheses, decision variables are tensile force (F) during pre-clotting and required time (t) for pre-clotting. An optimization problem is constructed which contains three objective functions; maximize the porosity (Q_1) (to maintain initial porosity over a long period of time), minimize the porosity (Q_2) after pre-clotting (to reduce bleeding from the vascular prosheses during grafting), and minimize the required time (t) for pre-clotting (to reduce required time for grafting). The following regression equations are formulated using experimental data: Q_1=2850+8.7F and Q_2=αexp(-0.038t) where α is 38 or 311 according to the sample blood A or B drawn from two dogs. The tensile force (F) is assumed to have no relation with porosity (Q_2), thus enabling two-criterion decision making to be applied. The approaches of the three solution methods; ε-constraint approach, goal programming and surrogate worth trade-off method, have also been applied. Consequently, the most effective approach is goal programming. The same solution is obtained for different blood samples A and B.
一般社団法人日本機械学会の論文
1988-12-20