Enterprise Warranty Programs for Two-dimensional Policies with Multiple Objectives

Amit Mitra
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Abstract

Abstract Two-dimensional warranty policies exist for certain consumer products, such as automobiles. Here, warranty is specified in terms of the time since the sale of the product as well as mileage incurred during that period. Thus, at the time of purchasing the product, the manufacturer may offer a warranty of three years or 30,000 miles, whichever occurs first. Failures in the product within this specified period of time or mileage will be covered by the manufacturer. In this chapter, we consider the scenario of enterprise warranty programs, where customers are given the option of extending the original warranty. Thus, the buyer could be given an option to purchase a five year—50,000 mile warranty, whichever occurs first. Of course, the buyer will be expected to pay a premium to purchase this extended warranty. Such enterprise warranty programs are also found in other consumer durables, such as refrigerators, washers, dryers, and cooking ranges. This chapter explores determination of the decision variables, such as product price, warranty time, and usage limit under the original conditions and further, for the enterprise warranty, that is, the extended warranty time and extended usage limit, as well as the premium to be charged to the buyer who selects the extended warranty. Mathematical models are developed based on maximizing the expected unit profit by selecting an enterprise warranty program. Additionally, some other objectives are also considered based on the proportional increase in the expected unit profit due to the increased market share attained through the offering of an enterprise warranty program. Some results are obtained through consideration of various goal values of the chosen objectives.
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多目标二维保单的企业保修方案
某些消费品(如汽车)存在二维保修政策。在这里,保修是根据产品销售的时间以及在此期间所产生的里程来规定的。因此,在购买产品时,制造商可能会提供三年或30,000英里的保修,以先发生的为准。在规定的时间或里程内,产品的故障将由制造商负责。在本章中,我们考虑企业保修方案的场景,其中客户可以选择延长原始保修。因此,买家可以选择购买5年5万英里的保修期,以先到者为准。当然,买方需要支付额外的费用来购买延长保修期。此类企业保修计划也见于其他耐用消费品,如冰箱、洗衣机、烘干机和炉灶。本章探讨了企业质保,即延长质保时间和延长使用期限等决策变量的确定,以及选择延长质保的买方应支付的保费。通过选择企业保修方案,建立了以期望单位利润最大化为目标的数学模型。此外,还考虑了一些其他目标,这些目标是基于预期单位利润的比例增长,这是由于通过提供企业保修计划而获得的市场份额的增加。通过考虑所选目标的各种目标值,得到了一些结果。
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