Warranty cost analysis: Increasing warranty repair times

Marshall Sarah; Arnold Richard; Chukova Stefanka; Hayakawa Yu

摘要

? >In this study, we model the warranty servicing costs under nonrenewing and renewing free repair warranties. We assume nonzero increasing repair times with the warranty cost depending on the length of the repair time. An increasing geometric process is used to model the consecutive repair times. We introduce the generalised alternating renewal process, which is an alternating process with cycles consisting of an item's operational time followed by the corresponding repair time. We derive analytical results for a generalised alternating renewal process with a finite time horizon and use them to evaluate the warranty costs over the warranty period and over the life cycle of the product under the nonrenewing free repair warranty and renewing free repair warranty. Properties of the model are demonstrated through a simulation study and through the application to warranty claims data from an automotive manufacturer. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><abstract xmlns =“http://www.wiley.com/namespaces/wiley”type =“main”xml：lang =“en”zh“xml：id =”asmb2323-abs-0001“> <标题类型=“main”>？</ title> <P>在本研究中，我们在非读取和更新免费维修保证下策划保修维修费用。根据修复时间的长度，我们假设非零增加修复时间以保修费用。增加几何过程用于模拟连续的修复时间。我们介绍了广义交替的续订过程，这是一个交替的过程，其中循环由项目的操作时间组成，然后是相应的修复时间。我们通过有限时间范围导出了一般性交替续订过程的分析结果，并使用它们在不良修复保证保修和更新免费维修保证下，评估保修期和产品的生命周期的保修费用。通过模拟研究和通过应用来证明模型的性质，并通过应用于汽车制造商的保修声明数据。</ p> </摘要> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-19344/'>《Applied stochastic models in business and industry》</a> <b style="margin: 0 2px;">|</b><span>2018年第4期</span><b style="margin: 0 2px;">|</b><span>共18页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Marshall Sarah&option=202" target="_blank" rel="nofollow">Marshall Sarah;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Arnold Richard&option=202" target="_blank" rel="nofollow">Arnold Richard;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Chukova Stefanka&option=202" target="_blank" rel="nofollow">Chukova Stefanka;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Hayakawa Yu&option=202" target="_blank" rel="nofollow">Hayakawa Yu;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>School of EngineeringComputer and Mathematical Sciences Auckland University of TechnologyAuckland New Zealand;</p> <p>School of Mathematics and StatisticsVictoria University of WellingtonWellington New Zealand;</p> <p>School of Mathematics and StatisticsVictoria University of WellingtonWellington New Zealand;</p> <p>School of International Liberal StudiesWaseda UniversityTokyo Japan;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/1147.html" title="应用数学">应用数学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=generalised alternating renewal process&option=203" rel="nofollow">generalised alternating renewal process;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=geometric process&option=203" rel="nofollow">geometric process;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=warranty&option=203" rel="nofollow">warranty;</a> </p> <div class="translation"> 机译：广义交替更新过程;几何过程;保修; 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<span>机译：随时间和温度而变化的颜色的时间温度指示器，其制造方法，使用该制造方法的质量保证体系以及使用该质量保证体系的质量保证方法 </span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/patent-detail/06130431027114.html">Extended warranty loss cost prediction apparatus and extended warranty loss cost prediction system</a> <b>[P]</b> . <span> 外国专利：  JP4241897B1 </span> <span> . 2009-03-18</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：扩展保修损失成本预测装置和扩展保修损失成本预测系统 </span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/patent-detail/06130499574925.html">A device for repairing a device for repair of a vehicle member, an apparatus for judging whether or not an application for warranty of a vehicle member is damaged, an operation method of the apparatus for judging whether or not the application of the warranty for a vehicle member is warranted, and a program.</a> <b>[P]</b> . <span> 外国专利：  JP2021039427A </span> <span> . 2021-03-11</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：一种用于修理用于修理车辆构件的装置的装置，用于判断车辆构件保修的申请是否损坏了用于验证的装置，该装置的用于判断是否适用于车辆的保修的装置会员有保证，以及一个计划。 </span> </p> </li> </ul> </div> </div> </div> <div class="theme cardcommon" style="overflow: auto;display:none"> <h3 class="all_title" id="enpatent55">相关主题</h3> <ul id="subject"> </ul> </div> </div> </div> </div> </div> <div id="thesis_get_original1" class="downloadBth" style="bottom: 19px;z-index: 999;" onclick="ywcd('0704022680223','4',7,2,1,'',this,24)" class="delivery" prompt="010401" title="通过人工服务将文献原文发送至邮箱" >获取原文</div> <div class="journalsub-pop-up" style="display: none"> <div class="journal-sub"> <h2>期刊订阅</h2> <img src="https://cdn.zhangqiaokeyan.com/img/loginclose.png" alt="关闭" onclick="$('.journalsub-pop-up').hide()"> <p class="pardon">抱歉，该期刊暂不可订阅，敬请期待！</p> <p 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