Abstract
<jats:title>Abstract</jats:title> <jats:p> In this review article, we will discuss about the curtailed sampling plans. The curtailed sampling plan is often used in quality control and in reliability. The main idea about the curtailed sampling plan, as the name suggests, is to stop the sampling process and take the final decision namely either to accept or to reject the lot, before inspecting the entire sample. It is a sequential process, and it can be seen as a “common sense modification” of a sequential process. The curtailed sampling plans can be broadly classified into two parts, one is known as the <jats:italic>attribute curtailed sampling plans</jats:italic> and the other is known as the <jats:italic>variable curtailed sampling plans</jats:italic> . In the literature, it has been observed that the attribute curtailed sampling plan has been further subdivided namely single sample attribute curtailed sampling plan and (sequential) double sample curtailed sampling plans. About the variable curtailed sampling plan there are mainly two approaches namely the classical approach and Bayesian approach. The main aim of this article is to provide a gentle introduction of the above topic, and provide the history and recent development of this area. We would like to mention that in this article, we do not provide any new results, but we will provide several open problems for future research. </jats:p> <jats:p> <jats:bold>AMS Subject Classifications:</jats:bold> 62L05, 62N05, 62L10. </jats:p>