Designing of Acceptance Sampling Plans through Markov Dependence

Abstract

Acceptance sampling plays a significant role in quality control. It investigates whether a lot of semi finished or final product satisfies the predetermined quality standards of characteristics of an item of lot in terms of defectives. This paper involves design and development of attribute inspection by Single and Double sampling plans through transition probability matrix in consideration of the threshold value. There may be a Markov dependence in which a given event is dependent to some degree on recent previous events. The main thrust of this paper is to determine optimal threshold value using Markov process which attempts to minimize the expected total cost. The optimal decision is arrived by using absorbing Markov chain for the lot acceptance policy and numerical tables were simulated for the proposed method.