衰退性商品、信用交易、預先付款與部分欠撥是現今常見的商業方式。
然而，在先前關於網路供應鏈上的研究並沒有將這些議題一併考慮。本研究針對衰退性商品在供應鏈網路上的兩種不同付款方式進行研究：信用交易以及預先付款。在這兩種付款方式裡，我們分別考慮不缺貨以及缺貨部分欠撥狀況。
針對每個案例，本研究分別提出基於非線性最佳化的演算法。並決定最佳聯合補貨週期、配銷中心的服務面積以及最佳短缺水準以使總成本最低。透過數值分析除了呈現求解過程亦探討在不同參數的變動下對決策變數與成本的影響。
研究結果可提供管理者於決策上之依據。

Deteriorating items, trade credit, advance payment and partial back-ordering are common in today’s business. However, no previous study on supply chain network design has considered these business aspects together. This study considers supply chain network design problems for deteriorating items under two different payment ways: trade credit and advanced payment. For two different payment ways, we consider both cases of no shortage and partial backordering. For each case, an algorithm based on the nonlinear optimization is presented to determine the optimal joint replenishment cycle time, the influence area for each distribution center DC, or the optimal shortage level such that the total network cost is minimized. Numerical studies are used to illustrate the solution procedures and discuss the effects of different value of parameters on decisions and cost. The result could be a reference for managers to make decisions.

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