A note on the sum of Poisson probabilities and an application

Meyer, Paul L.

doi:10.1007/bf02911703

Cited by 17 publications

(3 citation statements)

References 3 publications

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“…The proportion non-conforming corresponding to the inflection point on the OC curve, denoted by p* and interpreted as the Maximum Allowable Percent Defective (MAPD) by Mayer [32] is also used as the quality standard along with some other conditions for the selection of the sampling plans. Mandelson [31] has explained the desirability of developing a system of sampling plans indexed through MAPD.…”

Section: Literature Review Of Mapdmentioning

confidence: 99%

Theory of Runs Sampling Plan through Maximum Allowable Percent Defectives

Vendhan¹,

Chitraleka²

2022

YMER

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In this paper, Statistical Quality Control of acceptance sampling plan approaches and their applications-oriented articles are considered. In this study on a new design of the theory of runs sampling plan concerning a single sampling plan through maximum allowable percent, defective is used. This plan is used to introduce a new product in the first trial item inspection. The product trial is very important for the sustainability of the product in the long run. This design is used to inspect each item one by one, and fraction defectives have to be much less than or equal to 1%. Then the product is get accepted and the process is continued. The main aim of this design is to make the producer gives the product and the consumer buy it with maximum quality and a minimum of risk. Product quality and consumer satisfaction are vital as far as a product is concerned. So, it helps to save money and time, and the item level will be increased. Producer risk level and consumer risk level will be minimized. Keywords: Theory of Runs, Maximum Allowable Percent Defective (MAPD), Poisson distribution, producer and consumer risk.

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Section: Literature Review Of Mapdmentioning

confidence: 99%

Theory of Runs Sampling Plan through Maximum Allowable Percent Defectives

Vendhan¹,

Chitraleka²

2022

YMER

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“…has explained the desirability of developing a system of sampling plans indexed through the Maximum Allowable Proportion Defective (MAPD) and shown that p* = c/n for an SSP with sampling size 'n' and acceptance number 'c'. Mayer (1967) has suggested that the quality measure, this paper provides tables and procedures for the selection of QSS-2 and QSS-3 with Single Sampling Plan using MAPD as a standard and the MAAOQ as an average outgoing quality, the parameters of a Quick Switching System are determined.…”

Section: Introductionmentioning

confidence: 99%

Selection of Quick Switching System With Single Sampling Plans Through Mapd and Maaoq

Suresh¹,

Jayalakshmi²

2020

Impact Journal of Science and Technology

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Romboski (1969) has introduced the concept of QSS-1 (n, CN, CT) is a system which considers single sampling plan (n, CT) and (n, CT) which are the normal tightened plans with CN and CT. Suresh (1993) has studied the QSS-1 with single sampling plan using acceptable and limiting quality levels. Suresh and Ramkumar (1996) have introduced the concept of Maximum Allowable Average Outgoing Quality (MAAOQ) for single sampling plan and studied the selection procedure. This methodology is considered for selection of QSS-2 & 3 with Single sampling plan as reference plan. Procedures and necessary tables are indicated with suitable illustration, which are useful for the shop-floor condition.

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“…The desirability for developing a set of sampling plans indexed with p * has been explained by Mandelson (1962). Mayer (1967) has suggested that MAPD can be considered as a quality level, along with certain other conditions to specify OC curve. Suresh and Latha (2002) has studied average probability of acceptance function for chain sampling plan with Gamma Prior distribution.…”

Section: Introductionmentioning

confidence: 99%

Construction and Selection of Bayesian Chain Sampling Plan (BChSP-1) Using Quality Regions

Suresh¹,

Sangeetha²

2011

MAS

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Bayesian Acceptance Sampling Approach is associated with utilization of prior process history for the selection of Distributions (viz., Gamma Poisson, Beta Binomial) to describe the random fluctuations involved in Acceptance Sampling. The Acceptance sampling procedures are the practical tools for quality assurance applications involving product control. Acceptance sampling systems are advocated when small sample size are necessary or desirable towards costlier testing for product quality. The sampling plan which provides the vendor and buyer decision rules for product acceptance to meet the preset product quality requirement.

The main thrust of this paper is to account for the possibility of dependence among the items of a sample. The development of new method for designing sampling plans based on range of quality instead of point- wise description of quality by invoking a novel approach called Quality Regions. This method seems to be versatile and can be adopted to the elementary production process where the stipulated quality level is advisable to fix at a later stage and provides a new procedure meant for designing Bayesian Chain Sampling Plan involving Quality Regions. Maximum Allowable Percent Defective (MAPD) is also considered for the selection of parameters for Bayesian Chain Sampling Plan. New quality descriptors called operating ratios are introduced to design the sampling plan.

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A note on the sum of Poisson probabilities and an application

Cited by 17 publications

References 3 publications

Theory of Runs Sampling Plan through Maximum Allowable Percent Defectives

Theory of Runs Sampling Plan through Maximum Allowable Percent Defectives

Selection of Quick Switching System With Single Sampling Plans Through Mapd and Maaoq

Construction and Selection of Bayesian Chain Sampling Plan (BChSP-1) Using Quality Regions

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