Analysis of skip-lot sampling plan of Type 3 with multiple reference criteria

In the modern quality control segment, the skip-lot sampling plan is still significant among all others plans due to rising production volumes and the demand for cost-effective inspection methods that will yield highquality outputs.Unlike other sampling plans, while inspecting a submitted lot, a skip-lot plan is economically advantageous and ensures high quality.The skip-lot sampling plan utilizes single sampling plan (SSP) or double sampling plan (DSP) as the reference plan during both normal and skipping inspections.However, using these plans as the reference can lead to bias, favouring either the producer or the consumer.In this paper, a novel approach is illustrated where the skip-lot sampling plan of type 3 is having the provision of two different reference plans in the normal and skipping phases.The proposed plan is termed as the Multi-Reference Skip-lot Sampling Plan of type 3 (MR-SkSP-3).The plan is then compared with the help of performance measures such as operational characteristic (OC) function and average sample number (ASN).The comparison is done between the proposed plan and existing skip-lot sampling plans which use single sampling plan or double sampling plan as reference plan in both inspection phases.The comparison is made based on performance measures with graphical and tabulated illustrations.The comparative analysis proves that the proposed plan successfully balances the satisfaction of both producers and consumers.By leveraging the strengths of conventional skip-lot sampling plans that use single reference plans, it achieves superior performance.