Water retailer managed inventory is a classical and inevitable inventory management mode in present economic society. Stochastic models can more clearly explain demand uncertainty and are closely related to water supply chains. Risk preferences are widely valued in behavioral operation management. Related to the risk preferences in inventory management, the research on risk aversion is dominant, while risk-seeking is insufficient. Based on the model assumptions, the risk-seeking retailer’s optimal decision-making inventory model with stochastic demand in a water supply chain is studied. The risk-seeking retailer’s optimal inventory quantity, optimal inventory cost, supplier profit, retailer profit, and the profit of the entire water supply chain are derived. The validity of the equations is proved. The sensitivity analysis of the risk-seeking retailer’s optimal inventory decision-making is carried out. The risk level effects on the five dimensions, the retail price, wholesale price, unit shortage cost, unit inventory cost, and unit residual value, are displayed through numerical simulation. The optimal inventory quantity and optimal inventory cost of the risk-seeking retailer are obtained.

中文翻译：

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供水链中寻求风险的零售商管理库存模型的决策优化

自来水零售商管理库存是当今经济社会中一种经典且不可避免的库存管理模式。随机模型可以更清楚地解释需求不确定性，并且与供水链密切相关。在行为操作管理中，风险偏好得到了广泛的重视。与库存管理中的风险偏好相关，对风险规避的研究占主导地位，而对风险的寻求不足。基于模型假设，研究了供水链中具有随机需求的风险寻优零售商的最优决策库存模型。得出了寻求风险的零售商的最优库存数量，最优库存成本，供应商利润，零售商利润以及整个供水链的利润。证明了方程的有效性。对寻求风险的零售商的最佳库存决策进行了敏感性分析。通过数值模拟显示了风险水平对零售价格，批发价格，单位短缺成本，单位库存成本和单位残值这五个维度的影响。获得了寻求风险的零售商的最优库存数量和最优库存成本。