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MIXED TWO SIDED COMPLETE CHAIN SAMPLING PLANS FOR
MAXIMUM ALLOWABLE VARIANCE
K. REBECCA JEBASEELI EDNA & V. JEMMY JOYCE
Department of Mathematics, Karunya Institute of Technology and Sciences (Deemed to be University),
Coimbatore, Tamil Nadu, India
ABSTRACT
In acceptance sampling plans, mean is commonly used for variable inspection in the production field.
In some situations, the variance of the quality characteristics is used as the criterion. That is, a lot may be accepted, if the
variance of the quality characteristics is less than or equal to a pre-specified maximum (σ
o
2
) value. In this paper, the
operating procedure of Mixed Acceptance Sampling Plans with Maximum Allowable Variance is developed. Two-Sided
Complete Chain Sampling plan are used in the second stage of mixed plans The Operating Characteristic function and
other associated measures of the plan are given. The algorithm and designing of the mixed sampling plan is indexed
through AQL and LQL. Tables are constructed for easy selection of the plan. An example is also provided.
KEYWORDS: Mixed Sampling, OC (operating characteristic) function, AQL(Acceptable Quality Level), LQL (Limiting
Quality Level) I stage Sampling & II stage Sampling
Received: Apr 06, 2018; Accepted: Apr 26, 2018; Published: May 22, 2018; Paper Id.: IJMPERDJUN201864
INTRODUCTION
Mixed Sampling Plan was introduced by Dodge and later Schilling (1967) has given a procedure to find the
OC function and its associated measures. Mixed Sampling Plan has two stages. The first stage is based on variable
criteria and the second stage with attribute quality characteristics. In a Mixed Sampling Plans, the second stage of
attribute inspection becomes more important to discriminate the lot, if the first stage variable inspection fails to
accept the lot. In the second stage, acceptance number of zero plans is more significant for a practical reason.
Therefore, two-sided complete chain sampling plans are used in the second stage. The resulting plans yield small
samples in both the stages. Clark. C. R (1955), Frishman and Fred (1960), Dodge. H. F and Stephens K. S (1966),
Kuralmani. V and Govindaraju. K (1993) contributed more to chain sampling plan. Suresh and Deva Arul (2002)
have developed mixed sampling plans by combining process and product quality characteristics to reduce the
sampling cost… Suresh and DevaArul (2003) have developed mixed sampling plans for Maximum Allowable
Variance.
FORMULATION AND OPERATING PROCEDURE OF MIXED
PLAN WITH VARIANCE CRITERION
The development of mixed plans and the subsequent discussions are limited only to the known variance
(σ
2
). The mixed sampling plan with variance criterion can be formulated with four parameters n
1
, n
2
, k’, c. For
predetermined values of the parameters, an independent plan with known variance would be carried out as follows:
Original Article
International Journal of Mechanical and Production
Engineering Research and Development (IJMPERD)
ISSN (P): 2249-6890; ISSN (E): 2249-8001
Vol. 8, Issue 3, Jun 2018, 599-602
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