本研究以模擬退火法求解同時收送貨之區位途程問題，在供應鏈管理中，如何將使用過的商品回收並再利用是相當重要的議題，因此，近年來產業和研究者都非常重視同時收送貨之區位途程問題。同時收送貨之區位途程問題考量配送新商品及零件給顧客、收取需要回收及維修的商品與選擇設施的位址，在這樣的配送網路裡，必須同時滿足每個顧客的收貨和送貨兩種需求。我們提出模擬退火法以求解此問題，並以四個小型及中型的標竿題組作測試，實驗結果顯示，我們所提出的模擬退火法在解的品質與計算效率上都優於現有的演算法。此外，我們在此研究中產生四個大型的題組，並以所提出的模擬退火法求解，也得到不錯的結果。

This study proposes a simulated annealing (SA) heuristic for the location routing problem with simultaneous pickup and delivery (LRPSPD). How to recycle and reuse used products has become an important issue in supply chain management, and thus the LRPSPD has received much attention from the industry and researchers recently. The LRPSPD considers the distribution of parts and new products, the collection of recycled products and products to be repaired, and the locations of facilities. In such a distribution network, each customer has both pickup and delivery demands that need to be satisfied simultaneously. We propose an SA heuristic for the LRPSPD and test it on four sets of small- and medium-size LRPSPD benchmark instances. The results indicate that the proposed SA heuristic outperforms existing approaches in both computational time and solution quality. In addition, another four sets of large LRPSPD instances are generated and solved by the proposed SA heuristic with satisfactory results.

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