Abstract

This study aims to determine the most appropriate warranty period and policy with the lowest warranty cost from the manufacturer/seller point of view. The warranty policy to be put forward and the warranty period to be offered under this policy should ensure customer satisfaction while at the same time causing a minimum cost to the manufacturer/seller. For this reason, the optimum warranty period within the scope of Free-Replacement Warranty (FRW) policy, Pro-Rata Warranty (PRW) policy, and Combined FRW/PRW policy which was the combination of those two warranty policies were tried to be determined. In the study which was done to determine the most appropriate warranty period, economic benefit and the benefit function obtained from warranty cost and dissatisfaction cost functions were used. While obtaining necessary formulas, exponential distribution, which was widely used in life tests as density function and gamma and inverse-gamma functions as prior distribution of the exponential distribution were used. To demonstrate the applicability and flexibility of the model, some typical sales models and numerical values for exponential lifetime distribution were used, and an algorithm was created to find the optimal solution. When all of the results were analyzed it was seen that Combined FRW/PRW policy was the most appropriate warranty cost as a result of testing the models obtained and it was also found that the warranty cost was almost 3% of the sale price. Within the frame of these obtained results, Combined FRW/PRW policy was suggested for the warranty service to be served with the product to the manufacturer/seller. If the warranty period number of revolutions were chosen almost $g_1=0.054.,$ $g_2=0.120.$ the warranty cost will be in the minimum level and it will be almost 3% of the product sale price. The validity and accuracy of the proposed strategy was verified by a case study with a numerical sample providing a scientific basis.

摘要

本研究旨在从制造商/销售商的角度确定最合适的保修期和保修成本最低的政策。所提出的保修政策以及根据该政策提供的保修期限应确保客户满意，同时使制造商/销售商的成本最小化。为此，尝试确定免费更换保修（FRW）政策、按比例保修（PRW）政策和组合FRW/PRW政策（这两种保修政策的组合）范围内的最佳保修期。在确定最合适的保修期的研究中，使用了经济效益以及从保修成本和不满意成本函数中获得的效益函数。在获得必要的公式的同时，指数分布，在寿命测试中广泛使用密度函数和伽马和反伽马函数作为指数分布的先验分布。为了证明该模型的适用性和灵活性，使用了一些典型的销售模型和指数寿命分布的数值，并创建了一种算法来寻找最优解。对所有结果进行分析后，通过对获得的模型进行测试，发现组合 FRW/PRW 政策是最合适的保修成本，并且还发现保修成本几乎是售价的 3%。在这些获得的结果的框架内，建议将 FRW/PRW 组合政策与制造商/销售商的产品一起提供保修服务。$G_1=0.054。,$ $G_2=0.120。$保修费用将处于最低水平，几乎是产品售价的3%。通过案例研究验证了该策略的有效性和准确性，并提供了数值样本，提供了科学依据。