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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.

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.

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.

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.

Some consumer durables, such as automobiles, involve warranties involving two attributes. These are time elapsed since the sale of the product and the usage of the product at a given point in time. Warranty may be invoked by the customer if both time and usage are within the specified warranty parameters and product failure occurs. In this chapter, 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 pattern. Further, product failure rate is influenced by the usage rate and product age. Of importance to the organization is to contain expected warranty costs and select appropriate values of the warranty parameters accordingly. An avenue to impact warranty costs is through research on product development. This has the potential to reduce the failure rate of the product. The objective then becomes to determine warranty parameters, while constraining the sum of the expected unit warranty costs and research and development (R&D) costs per unit sales, under a limited R&D budget.

For certain consumer durables, such as automobiles, warranty policies involve two attributes. These could be the time elapsed since sale of the product and usage of the product at a given point in time. Warranty may be invoked by the consumer if both time and usage are within specified warranty parameters when a product failure occurs. In this chapter, 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. Additionally, product failure rate is influenced by the usage rate and product age. The integrated model includes expected unit warranty costs, expected unit research and development costs, and expected unit production costs. It is assumed that in production, there is a learning effect with time. A multiobjective model is incorporated with the objectives being market share and proportion of expected warranty costs relative to total manufacturing expenditures per unit. The goals could be conflicting in nature. The problem then is to determine the warranty policy parameters while attaining certain desirable values of the two objectives.

The Equal Pay Act 1970 (which came into operation on 29 December 1975) provides for an “equality clause” to be written into all contracts of employment. S.1(2) (a) of the 1970 Act (which has been amended by the Sex Discrimination Act 1975) provides:

The UK is one of the few countries in Europe that is not facing a serious pensions crisis. The reasons for this are straightforward: state pensions are among the lowest in Europe, the UK has a long‐standing funded private pension sector, its population is ageing less rapidly than elsewhere in Europe and its governments have, since the beginning of the 1980s, taken measures to prevent a pension crisis developing. This article reviews the policies that have been implemented over the last two decades. It describes and analyses the defects in the Thatcher‐Major governments’ reforms that brought us to the current system, examines and assesses the reforms of the Blair government, and then identifies the problems that remain unresolved and how they might be addressed. Concludes with an examination of the implications of these reforms for the future of occupational pension schemes.

The original legislation which introduced the redundancy payments scheme was the Redundancy Payments Act 1965. This was the first of the substantive statutory individual employment rights given to an employee; other individual employment rights, as for example, the right not to be unfairly dismissed, followed some years later. The Redundancy Payments Act 1965 has been repealed and the provisions on redundancy are now to be found in the Employment Protection (Consolidation) Act 1978.

Modern employment legislation invests the employee with important rights resulting in a greater degree of job security and improved legal protection in his employment. These rights or entitlements which are all personal in nature are divisible, for the sake of convenience, into four parts. Firstly, individual rights. These include guarantee payments, medical suspension, maternity, time off for specified activities, and the employer's insolvency. These rights are by no means exhaustive. Other rights of an individual nature as for example the right not to belong to a trade union where a closed shop is in operation; rights in connection with trade union membership; written reasons for dismissal; and so on, will be treated in the context of the discussion which will take place under the appropriate heading. Secondly, it is proposed to examine the employees right not to be discriminated against in employment on grounds of race and sex, thirdly, his right not to be unfairly dismissed will be analysed, to be followed finally by his right to redundancy payments. In this monograph, it is proposed to examine the first of these personal rights, namely the employee's individual rights. Each of the others will be discussed in subsequent monographs. It should be noted that unlike the common law terms implied into the contract of employment which consist of duties imposed on both the employer and the employee and which can be contracted out of by an express term in the contact of employment the statutory conditions of employment cannot be dispensed with in that manner. Like the implied terms at common law, the statutory conditions of employment too form another source of contract of employment though of course they are independent in that they neither form part of the contract of employment nor of the common law rights.