Amitava Mitra and Jayprakash G. Patankar
Various types of warranty programs are offered for consumer products. The two most common are a linear pro-rata warranty or a lump-sum warranty, if product failure occurs prior to…
Abstract
Various types of warranty programs are offered for consumer products. The two most common are a linear pro-rata warranty or a lump-sum warranty, if product failure occurs prior to the specified warranty time. In this chapter we consider additional types of warranty programs that allow the consumer to purchase a one-time extended warranty in the event of no failure within the initial warranty period. For the extended period, warranty may be linearly pro-rated, starting at an amount that is lower than the initial purchase price. Alternatively, for the extended period, warranty may be a lump-sum amount, that is less than the initial warranty amount. Expressions for the expected costs under each of the programs are derived. Guidelines are provided for determining the parameters of each warranty program under relevant constraints. Sensitivity analysis is also conducted to determine the effect of the problem parameters on the expected warranty costs.
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The service industry is a major component of the economy. Raw material, components, assemblies, and finished products are shipped between suppliers, manufacturers, distributors…
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The service industry is a major component of the economy. Raw material, components, assemblies, and finished products are shipped between suppliers, manufacturers, distributors, and retailers. Accordingly, timely receipt of shipped goods is crucial in maintaining the efficiency and effectiveness of such service processes. A service provider offers an incentive to the customer by specifying a competitive target time for delivery of goods. Further, if the delivery time is deviant from the target value, the provider offers to reimburse the customer for an amount that is proportional to the value of the goods and the degree of deviation from the target value. The service provider may set the price to be charged as a function of product value. This price is in addition to the operational costs of logistics that are not considered in the formulated model. For protection against deviation from target due dates, the service provider agrees to reimburse the customer. The reimbursement could be based on an asymmetric loss function influenced by the degree of deviation from the target due date as well as product value. The penalties could be different for early and late deliveries since the customer may experience different impact and consequences accordingly. The chapter develops a model to determine the amount (price) that the provider should add to the cost estimate of the delivery contract for protection against delivery deviations. Such a cost estimate will include the operational costs (fixed and variable) of the shipment, to which an amount is added to cover the expected payout to customers when the delivery time deviates from the target value. The optimal price should be such that the expected revenue will at least exceed the expected payout.
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Amitava Mitra and Jayprakash G. Patankar
Warranty policies for certain products, such as automobiles, often involve consideration of two attributes, for example, time and usage. Since consumers are not necessarily…
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Warranty policies for certain products, such as automobiles, often involve consideration of two attributes, for example, time and usage. Since consumers are not necessarily homogeneous in their use of the product, such policies provide protection to users of various categories. In this chapter, product usage at a certain time is linked to the product age through a variable defined as usage rate. This variable, usage rate, is assumed to be a random variable with a specified probability distribution, which permits modeling of a variety of customer categories. Another feature of the chapter is to model the propensity to execute the warranty, in the event of a failure within specified parameter values (say time or usage). In a competitive market, alternative product/warranty offerings may reduce the chances of exercising the warranty. This chapter investigates the impact of warranty policy parameters with the goal of maximizing market share, subject to certain constraints associated with expected warranty costs per unit not exceeding a desirable level.
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Amitava Mitra and Jayprakash G. Patankar
The service sector comprises a dominant segment of the economy. Customer satisfaction, a measure of quality, is based on the degree of difference between expected quality and the…
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The service sector comprises a dominant segment of the economy. Customer satisfaction, a measure of quality, is based on the degree of difference between expected quality and the actual level of quality experienced. Expected level of quality is influenced by customer perception of quality, which in turn is impacted by external and internal factors. In service industries, the interaction between the service provider and the customer may also influence quality. Thus quality may consist of tangible and intangible factors. In this chapter we consider the measurable attributes associated with quality in the service sector. Based on a specified guarantee level associated with the attribute, for example, service time, a penalty function is used to determine the impact of deviating from the guarantee level. With service time being a stochastic random variable, expected penalty costs to the service provider are found under a variety of conditions.
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A majority of products for manufacturing or consumers have multiple characteristics that must meet the requirements of the customer. For example, a steel beam any have dimensional…
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A majority of products for manufacturing or consumers have multiple characteristics that must meet the requirements of the customer. For example, a steel beam any have dimensional tolerances on its length, width, or height and functional tolerances on its strength. The characteristics are influenced by different processes that create the product. For an individual characteristic, process capability measures exist that convey the degree to which the characteristic meets the specification requirements. Such measures may indicate the proportion of nonconforming product related to the particular characteristic, under some distributional assumptions of the characteristic. For products with multiple characteristics, the unit costs of rectification may be different, making the satisfaction of some characteristics meeting customer requirements more important than others. In this paper, an aggregate process capability performance measure is developed that considers the relative importance of the characteristic based on unit costs of nonconformance. Based on the aggregate measure, appropriate process capability measures for the individual measures are also derived. Bounds on the aggregate capability measures are also established.
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The service sector is a major segment of the economy and contributes to the gross national product in a significant manner. It complements the manufacturing sector as…
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The service sector is a major segment of the economy and contributes to the gross national product in a significant manner. It complements the manufacturing sector as organizations become global in nature. Sources of raw material may be quite dispersed from the manufacturing site. Further, not all manufacturing may take place in one particular location. Based on the availability of expertise and the required operations to produce the product, components, subassemblies, or assemblies could be produced in different geographical locations. This creates the necessity to transport raw material, components, or assemblies in a timely manner from one location to another based on the needs of the supply chain. All customers prefer not only an efficient delivery system but also one that is damage-free. In this chapter, we consider a model whereby service organizations offer a contract for damage protection based on product value. The objective is to determine the premium to be charged by the service organization so as to at least break even or accomplish a desired profit margin.
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Stanley C. Gardiner and Amitava Mitra
A major US bank has determined that none of its customers should have towait more than three minutes for service. Presents a procedure thathelps management allocate tellers to…
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A major US bank has determined that none of its customers should have to wait more than three minutes for service. Presents a procedure that helps management allocate tellers to prevent any customer waiting time from exceeding the three‐minute limit. Uses X¯ and s charts to monitor the average waiting time and the standard deviation of waiting times. Customer waits exceeding three minutes and customer arrivals are monitored using c charts. The approach integrates the analysis of the c charts along with that of the X¯ and s charts to determine the number of tellers necessary to maintain customer service at the desired level. The lobby operations are simulated and the procedure illustrated using operational data supplied by the bank.
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Amitava Mitra and Jayprakash G. Patankar
This chapter considers warranty policies involving two attributes, such as the time elapsed since sale of the product and product usage at a given point in time. Examples of such…
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This chapter considers warranty policies involving two attributes, such as the time elapsed since sale of the product and product usage at a given point in time. Examples of such policies are found for automobiles, where warranty may be invoked by the consumer if both time and usage are within specified warranty parameters when a product failure occurs. Here, we assume that usage and product age are related through a random variable, the usage rate, which may have a certain probabilistic distribution as influenced by consumer behavior patterns. Furthermore, product failure rate is influenced by the usage rate and product age as well as research and development expenditures per unit. It is assumed that, in production, there is a learning effect with time. The attained market share of a product will be influenced by the warranty policy parameters of warranty time and usage limit and also by the product price and product quality. An integrated model is developed to address multiobjective goals such as attainment of a specified level of market share and net profit per unit when manufacturing and warranty costs are taken into account. The impact of the goal priorities are investigated on the attained warranty policy parameters.
Amitava Mitra and Jayprakash G. Patankar
Two-attribute warranty policies are considered that incorporate, for example, the time elapsed since sale of the product and product usage at a given point in time. Such policies…
Abstract
Two-attribute warranty policies are considered that incorporate, for example, the time elapsed since sale of the product and product usage at a given point in time. Such policies occur in consumer products, such as automobiles, where warranty may be exercised if both time and usage are within specified warranty parameters when a product failure occurs. In this chapter, it is assumed that usage and product age are related through a random variable, the usage rate, which may have a certain probabilistic distribution as influenced by consumer behavior patterns. Product quality is modeled through the product failure rate, which is influenced by unit research and development expenditures as well as the usage rate and product age. The attained market share of the product is modeled as a function of the warranty policy parameters of price, warranty time, and usage limit, with product quality also having an influence. Attainment of single and multiple objectives are explored. Such objectives encompass expected total unit costs as a proportion of unit product price and market share.