 ી૆૕૕૾ૄ૙્ૉ્ુ. ી૆્ૄ૗૧ૄ૎ી. ૤ેૂ૕ૺ. ૼૂ૮૾ૂ૯. ૸ે૎ૼ ૦ી૗૦, ૼ૮૸૤૞, ૿૎૸, ૪ીૼ, ૸ૼ૤૫, ૪૸૸, ૸૪૸. ૪૫ ૪૯, ૫� there are three types of acceptance sampling plans, single sampling plan, double sampling plan, multiple sampling plan, then we will take examples on sampling plan, references. Introduction acceptance sampling is the process of evaluating a portion of product or material in a lot for the purpose of accepting or rejecting the lot as either conforming or not conforming to quality specifications. There are two types of inspection for acceptance, one is 100% inspection, second is sampling inspection. What is 100% inspection? In 100% inspection each and every component or product is inspected. In sampling inspection a lot is taken from the lot, some samples were drawn and these are tested and based on that sample we will decide whether to accept the lot or reject the lot. Now there are certain advantages of this sampling inspection over 100% inspection. If suppose we want it we want to go for a destructive testing in that case this is the only one possible way of doing inspection that is sampling inspection. Here from a lot we are drawing some components in the form of sample naturally a cost will be required is less and the time required to do will be less. Now when we are taking the sample from a lot naturally smaller stops are required. Fourth advantage is less damage to work, we are not going to inspect each and individual component naturally there will be less damage to work. Now sometimes it may happen that a sample may not be a representative of lot, so the whole lot get rejected. In that case it exerts pressure on quality improvement. There are certain limitations of sampling inspection because when we are drawing a sample it may give a less information about the lot. So there is a possibility of making a wrong decision and for this sampling inspection extra planning and documentation is necessary. Now first we will see single sampling plan. In single sampling plan decision is based on single sample. Single sample is not only one it is not unique. So could it be in more number based on the size of the lot. Now here capital N is equal to lot size small n is equal to sample size and C is equal to acceptance number which is a predefined quality number. Now in a single sampling plan some pieces that is n pieces were drawn from a lot. If number of defectives does not exceed C that is acceptance number accept the lot. If it exceeds C then reject the lot. Now let us take an example of single sampling plan. So here three numbers are specified capital N is equal to lot size that is 50. Small n is equal to sample size that is 5 and C is equal to 1 that is acceptance number. Now let us see here inspect a sample of n pieces from a lot of 50. Now n small n is equal to 5 inspect a sample of 5 pieces from a lot of 50. If number of defects does not exceed C means 1 that is if the defects are 1 or 0 so accept the lot. If it exceeds 1 reject the lot. Now double sampling plan. In this double sampling plan a decision is based on acceptance or rejection of the lot based on two samples where n1 is equal to number of pieces in the first sample. Small n2 is equal to number of pieces in second sample. C1 is equal to acceptance number for first sample. C2 is equal to acceptance number for the two samples combined. Now here inspect n1 pieces if the number of defectives does not exceed C1 that C1 is representing the acceptance number for sample 1. If it exceeds C2 that is acceptance number for sample 2 or the combined sample. So does not exceed C1 in that case accept the lot. If does exceed C2 reject the lot. Now there is a possibility that we may get the defectives between C1 and C2. In that case take second sample of n2 pieces. Now the defectives in the first sample and the second sample combined that is n1 plus n2 does not exceed C2 that is acceptance number of second sample or combined sample then accept the lot. If it exceeds 2 then reject the lot. Let us take an example in order to see this double sampling plan. Now here capital N is equal to 500, small n1 is equal to 30, n2 is equal to 60, C1 is equal to 1 and C2 is equal to 4. So 500 is the lot size, 30 is the first sample and 60 is the second sample and acceptance number 1 is for the first sample and acceptance number 4 is for the second sample. So here 500 does not exceed 1 take 30 samples. If does not exceed 1 accept the lot. If does exceed 4 reject the lot. If we get in between so how much it is in between there are possibilities of 2, 3 and 4 in the first sample and 0, 1, 2 win the second sample. So in this case combined sample if does not exceed C2 that is 4 accept the lot does exceed C2 that is 4 reject the lot. Now here think for a moment when do you accept the lot if 2 defectives in first sample followed by dash dash defectives in second sample where C2 is equal to 4. Now 2 defectives in first sample followed by 0 defective in one second sample, 1 defective in second sample or 2 defective in second sample means dash dash dash can be filled by means of 0, 1, 2. Now this is the third multiple sampling plan. Here the decision is based on 3 or more samples of stated size. Acceptance or rejection must be reached after a stated number of sample where note always C1 is less than C2 and C2 is always less than C3 similarly C4 is always less than C5. And it is nothing but CI is less than RI because acceptance number plus 1 is equal to rejection number. Now here multiple sampling is shown. First draw a sample of N1 size of the sample is N1 acceptance number does not exceed C1 accept the lot if it exceeds the C1 plus 1 that is reject the lot. Similarly take the second sample so that is N1 plus N2 acceptance number C2 accept the lot if rejection number is R2 reject the lot. So we can go on like this if more than 2 samples or 3 samples were drawn. Now these are the references. Thank you.