規劃求解棒球員選取問題

The Mathematical Model for the Assignment Problem of Baseball Players

研究利用指派問題(assignment problem)模式探討棒球比賽的球員安排問題。目的是選取能有效率執行任務的球員，做最適當的一對一指派。以中華職棒14位棒球員的打擊率(batting average, AVG)、上壘率(on base percentage, OBP)及長打率(slugging percentage, SLG)為依據，並設定這三項指標與得分的相關係數（打擊率*0.494；上壘率*0.62；長打率*0.756）為權重進行求解。得出結果再以目標規劃模式選擇最有利的決策，完成指派。研究建構的模式具實際應用價值，可提供決策者評估球員，做為指揮調度或任務安排的參考。

The purpose of this paper was to assign players for the baseball games in accordance with their hitting statistics. The problem was described as an assignment problem, and a basic software package (Excel solver) was applied to solve the problem. The objective was to determine that each assignee is to be assigned to exactly one task, and they can efficiently handle the different types of tasks.