scholarly journals A New System of Skip-Lot Sampling Plans including Resampling

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Saminathan Balamurali ◽  
Muhammad Aslam ◽  
Chi-Hyuck Jun
Keyword(s):  
Markov Chain ◽  
Performance Measures ◽  
Sampling Plan ◽  
Sampling Plans ◽  
Single Sampling Plan ◽  
The Cost ◽  
New System

Skip-lot sampling plans have been widely used in industries to reduce the inspection efforts when products have good quality records. These schemes are known as economically advantageous and useful to minimize the cost of the inspection of the final lots. A new system of skip-lot sampling plan called SkSP-R is proposed in this paper. The performance measures for the proposed SkSP-R plan are derived using the Markov chain formulation. The proposed plan is found to be more efficient than the single sampling plan and the SkSP-2 plan.

Optimal designing of SkSP-2 skip-lot sampling plan for normally distributed quality characteristics

2017 ◽  
Vol 40 (7) ◽  
pp. 2240-2248 ◽  
Author(s):  
Saminathan Balamurali ◽  
Jambulingam Subramani
Keyword(s):  
Sampling Plan ◽  
Quality Characteristic ◽  
Optimal Parameters ◽  
Optimal Plan ◽  
Sample Number ◽  
Sampling Plans ◽  
Sampling Schemes ◽  
The Cost ◽  
Optimal Designing ◽  
Average Sample

Skip-lot sampling plans have been widely used in industries to reduce the inspection efforts on products that have an excellent quality history. These skip-lot sampling schemes are economically advantageous and useful to minimize the cost of the inspection of the final lots. Also, the skip-lot concept is sound and useful in the design of sampling plans. In this paper, we propose a designing methodology to determine the optimal parameters of a skip-lot sampling plan of type SkSP-2 when the quality characteristic under study follows a normal distribution. The optimal plan parameters are determined to minimize the average sample number subject to satisfying the producer’s and consumer’s risks simultaneously at the acceptable and limiting quality levels, respectively. An optimization problem is formulated in order to construct tables for determining the optimal parameters of the proposed sampling plan for both known and unknown standard deviation cases and the results are compared with the variables single sampling plans.

scholarly journals The Continuous Sampling Plan for Two Production Lines: The CSP-2L

2020 ◽  
Vol 19 ◽  
Keyword(s):  
Markov Chain ◽  
Performance Measures ◽  
Sampling Plan ◽  
Production Lines ◽  
Continuous Sampling ◽  
Sampling Inspection ◽  
Sampling Fraction ◽  
Total Fraction ◽  
High Level

This paper presents the CSP-2L continuous sampling plan, which is designed for product inspectionon two independent production lines at the same time. The purpose of the CSP-2L is to improve the CSP-1-2Lin order to reduce the number of defective products that have passed without being inspected during thetemporary inspection stop, so the quality of the products is better. Therefore, if the manufacturer who uses theCSP-2L plan to inspect the production lines then resulting in higher quality of the products than the CSP-1-2L.This presentation includes the product inspection procedures and the formulas for performance measures suchas average total fraction inspected (ATFI), average total outgoing quality (ATOQ), and average total outgoingquality limit (ATOQL) which are carried out using a Markov chain. The formulas for performance measures ofthe CSP-2L have been tested to be accurate. When defined, the probability of a unit produced by the processbeing nonconforming of line 1 and line 2 are equal (p1 = p2 = p = 0.005, 0.015 and 0.035), the clearance numberof line 1 and line 2 are equal (i1 = i2 = 10, 20, 30, 40 and 50), the sampling fraction of line 1 and line 2 are equal(f1 = f2 =12and13) and the number of units to be found when inspection of line 1 and line 2 are in the phaseof sampling inspection at the same time (m = i1 and 2i1). Moreover, the ATOQ values from the CSP-2L and theCSP-1-2L plans were compared. The results showed that, the formulas for performance measures are accurateand in the case of p, the levels are low and moderate, the ATOQ of the CSP-2L are less than those of theCSP-1-2L in all cases. But in the case of p is at a high level, the ATOQ of the CSP-2L is less than those of theCSP-1-2L for some cases of i.

Chance Single Sampling Plan for Variables

2015 ◽  
Vol 4 (1) ◽  
pp. 43-59 ◽  
Author(s):  
Sampath Sundaram ◽  
Lalitha Singhan Madhavachari ◽  
Ramya Balu
Keyword(s):  
Mean Value ◽  
Sampling Plan ◽  
Sample Sizes ◽  
Chance Theory ◽  
Sampling Plans ◽  
Acceptance Threshold ◽  
Fuzzy Mean ◽  
Single Sampling Plan ◽  
Angle Criterion ◽  
Experimental Values

This paper considers the design of single sampling plan for variables when the experimental values are treated as observations on independently and identically distributed normal random variables with fuzzy mean value. The design makes use of Liu's (2008) model IV of Chance Theory. Sampling Plans determined by the sample sizes and acceptance numbers are constructed for situations involving imprecise parameter on using chance theory. The process of determining sample sizes and acceptance threshold values has been carried out on assuming the observed values have hybrid normal distribution. Optimal chance sampling plans for variables are also determined by using minimum angle criterion for different choices of fuzzy risks.

BAYESIAN SAMPLING PLANS WITH PROGRESSIVE CENSORING AND WARRANTY POLICY

2008 ◽  
Vol 15 (04) ◽  
pp. 329-340 ◽  
Author(s):  
TZONG-RU TSAI
Keyword(s):  
Cost Model ◽  
Sensitivity Study ◽  
Sampling Plan ◽  
Test Time ◽  
Sampling Plans ◽  
Bayesian Sampling ◽  
Progressive Type ◽  
Mean Lifetime ◽  
Lifetime Model ◽  
The Cost

The paper investigates the design of Bayesian sampling plan for the exponential lifetime model under progressive type-II censoring, in which items are manufactured in batches and sold to consumers with a general rebate warranty policy. Assume that the mean lifetime of items is random and varies from lot to lot. A cost model consists of the cost per item on test, the cost per item of test time and the costs of rejecting and accepting an item is established, and an algorithm is provided to determine the optimal Bayesian sampling plan which minimizes the expected average cost per lot. The use of the proposed method is illustrated by numerical results and an example. A sensitivity study is conducted to evaluate the influences of the removal scheme and using incorrect estimates for the hyper-parameters on the proposed sampling plans. The proposed method can be extended to the Weibull lifetime model as its shape parameter is known.

Modified chain sampling plan for assuring percentile life under Weibull distribution and generalized exponential distribution

2018 ◽  
Vol 35 (9) ◽  
pp. 1989-2005
Author(s):  
Jeyadurga P. ◽  
Usha Mahalingam ◽  
Saminathan Balamurali
Keyword(s):  
Sample Size ◽  
Operating Characteristic ◽  
Minimum Cost ◽  
Poor Quality ◽  
Sampling Plan ◽  
Exponential Distributions ◽  
Content Type ◽  
Single Sampling Plan ◽  
The Cost ◽  
Better Than

Purpose The purpose of this paper is to design a modified chain sampling plan for assuring the product percentile life where the lifetime follows Weibull or generalized exponential distributions (GEDs). In order to reduce the cost of inspection when implementing the proposed modified chain sampling plan, it is also considered the economic aspect of designing of proposed plan in this paper. Design/methodology/approach The authors have designed the proposed plan on the basis of two points on the operating characteristic (OC) curve approach. The optimization problem is used to determine the plan parameters of the proposed plan so that the specified values of producer’s risk and consumer’s risk are satisfied simultaneously. Findings The results we have obtained, confirm that the proposed plan will be very effective in reducing the sample size rather than other existing sampling plans. The OC curves of proposed plan, chain sampling plan and zero acceptance number single sampling plan show that the performance of proposed plan in discriminating the good and poor quality lots is better than other two plans. In this paper, it is proved that the value of number of preceding lots required for current lot disposition plays an important role. Originality/value The proposed modified chain sampling plan for assuring the percentile lifetime of the products under Weibull or GEDs is not available in the literature. The proposed plan can be used in all the manufacturing industries to assure the product percentile lifetime with minimum sample size as well as minimum cost.

THE FOREIGN BANK EFFECT ON VALUE CREATION IN COMMERCIAL BANKS INCORPORATED IN THAILAND

2008 ◽  
Vol 53 (02) ◽  
pp. 215-244
Author(s):  
CHANTAL HERBERHOLZ
Keyword(s):  
Performance Measures ◽  
Commercial Banks ◽  
Economic Value ◽  
Value Added ◽  
Foreign Bank ◽  
Level Data ◽  
Beneficial Impact ◽  
Domestic Banks ◽  
The Cost ◽  
Traditional Performance

Using quarterly bank-level data over the period 1997–2005, this paper examines the effect of foreign bank presence on commercial banks incorporated in Thailand, using traditional and value-based performance measures as indicators of the degree of competition and proxies for the efficiency in the provision of banking services. The findings suggest that foreign bank presence is not only beneficial in terms of traditional performance measures, but also in terms of economic profit. The results with respect to economic value added and cash value added, however, cast some doubt over the presumed benefits of opening up, underlining the importance of using a proxy that considers the cost of equity and departs from standard accounting principles. Furthermore, the results indicate that foreign entry through the acquisition of domestic banks appears to have a stronger and more beneficial impact on locally incorporated banks than through the establishment of branches, with majority ownership by a foreign blockholder being of importance.

scholarly journals A weak convergence approach to hybrid LQG problems with infinite control weights

2002 ◽  
Vol 15 (1) ◽  
pp. 1-21
Author(s):  
G. George Yin ◽  
Jiongmin Yong
Keyword(s):  
Markov Chain ◽  
Weak Convergence ◽  
Small Parameter ◽  
Limit Problem ◽  
Discrete Events ◽  
Linear Quadratic ◽  
Piecewise Constant ◽  
Constant Coefficients ◽  
The Cost ◽  
Random Times

This work is concerned with a class of hybrid LQG (linear quadratic Gaussian) regulator problems modulated by continuous-time Markov chains. In contrast to the traditional LQG models, the systems have both continuous dynamics and discrete events. In lieu of a model with constant coefficients, these coefficients vary with time and exhibit piecewise constant behavior. At any time t, the system follows a stochastic differential equation in which the coefficients take one of the m possible configurations where m is usually large. The system may jump to any of the possible configurations at random times. Further, the control weight in the cost functional is allowed to be indefinite. To reduce the complexity, the Markov chain is formulated as singularly perturbed with a small parameter. Our effort is devoted to solving the limit problem when the small parameter tends to zero via the framework of weak convergence. Although the limit system is still modulated by a Markov chain, it has a much smaller state space and thus, much reduced complexity.

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