訂單分配問題對產能不足的公司或者公司技術不夠生產產品而言，是個重要的決策問題。公司必須選擇最適合的外包商去生產產品並滿足最終顧客的需求。因此外包商的選擇不單只是滿足公司目標也必須滿足顧客。
本論文使用實際IC設計公司為案例，當IC設計完後進行光罩、製造、封裝、測試並做最後的包裝動作。在這個案例中訂單分配問題只考慮IC封裝、IC測試與最終IC包裝的生產過程。此外，考慮總成本、良率以及達交率為目標，並利用簡單加權法將三個目標變成一個總目標。總共有五家外包商可供選擇，而且每一家外包商的加工成本、良率和運輸時間都不相同。並且為了更貼近實際案例，還考慮了數量折扣、運輸批量和延遲成本。
此外，本研究利用配比設計中變數總和為一的特性，將每家外包商的分配比例視為變數。並使用模擬工具來敘述IC設計公司訂單分配的生產行為，透過模擬模型我們可以得到不同方案的數據來得到反應曲面，然後使用數學歸劃法與區間搜尋來獲得最佳的訂單分配結果。

Order allocation is always a very important decision problem when firms have insufficient capacity or technique to produce their own designed product completely. Firms have to select the most applicable outsourcing company to execute the production and then satisfy their final customers. Therefore, the decision of outsourcing company selection will not only influence the company objective but also satisfaction of customer.
A case study of IC design house was proposed. When an IC has been designed, the mask manufacturing will be outsourced firstly, then IC manufacturing, IC packaging, IC testing and final product taping. In this case, the order allocation problem only focuses on IC packaging, IC testing and final product taping process. Beside, think about total cost, yield and delivery rate are objectives. Use Simple additive weighting method let three objectives to a total objective. There are five outsourcing companies can choose and every outsourcing company have different process cost, yield and transport time. In order to close to real case, we think about amount discount、transport batch and delay cost.
Besides, the research uses the characteristic of mixture design which the sum of variables is one. Making every outsourcing company's part is a variable. And use simulation tool to model the IC design house order allocation process. Through the simulation model, we can have different plan's data to get response surface. Then use mathematical programming and local search to get the best order allocation result.

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