iosr-Jm   Volume-5 ~ Issue-5

Abstract: Acceptance sampling is concerned with inspection and decision making regarding products ,one of the oldest aspects of quality assurance. The most effective of acceptance sampling is not to "inspect quality into the product" but rather as an audit tool to ensure that the output of a process conforms to requirements. Acceptance sampling is most likely to be useful in few of these cases i) when testing is destructive ii) when the cost of 100% inspection is extremely high iii)when there are potentially serious product liability risks and the vendor's process is satisfactory, a program for continuously monitoring the product is necessary. The Characteristics of "Selection of one plan suspension system with special type of double sampling originally developed by K.K.Suresh and V.Sangeetha are reconsidered in this paper from computational point of view.In this paper spread-sheet –excel work sheet and algorithm are used to calculate the probability of accepting a lot given the proportion non-conforming under one plan suspension system with special type of double sampling (STDS) plan as reference plan.

Keywords: OP, STDS, RQL, EXCEL WORKSHEET, ARL

[1] Cone.A.F and Dodge H.F (1962): A Cumulative results plan for small Inspection , Sandia Corporation Repring, SCR-678, ALBUQUERQUE,NM.

[2] Glouba.A (1953) :Designing single sampling inspection plans when the sample size is fixed Journal of American Statistical Association,vol48,pp278-288

[3] Lily Christina. A (1995): Contributions to the study of Design and analysis of suspension system and some other sampling plans, Ph..D Thesis , Department of Statistics, Bharathiyar University ,coimbatore-46,India.

[4] Soundararajan, v (1981):Sampling Inspection plans when the sample size is fixed ,Journal of Madras University, Section B vol44,pp91-99.

[5] Suresh K.K and Jayalakshmi .S(2007): Designing of switching system with special type double sampling plans specified quality levels, Impact Journal of Science and Technology,vol1,No1-2,pp441-49

[6] Suresh K.K and Kaviyarasu.V(2008): Certain results and tables relating Qss-1 with conditional RGS plan, IAPQR Transaction,vol.1No1-2pp61-70.

[7] Suresh K.K. and Saminathan .R(2007): Selection of Multiple repetitive group sampling plan involving Maximum Allowable percent Defective and Maximum Allowable Average Outgoing Quality, International Journal of Statistics and Management system,Vol.2No1-2pp22-30.

[8] Vijayaraghavan.R(1989)On Designing Multiple deferred state sampling (Mds-1(0,2)) plans involving minimum sum of risks ,Journal of Applied statistics,vol16,No1,pp87-88

[9] Troxell.J.R(1972) : An investigation of Suspension system for small inspection, Ph. D Thesis, Rutgers University, New Jersey.

[10. Troxell,J.R(1980): Suspension system for small inspection,Technometrics,Vol.22 No.14,pp517-533.

Abstract: In this paper, I have invented the formulae of the height of the triangle. My findings are based on pythagoras theorem.

1 Geometry concepts & pythagoras theorem.

Abstract: We are proposing a modified form of the Milne's Predictor-Corrector formula for solving ordinary differential equation of first order and first degree. Here we are approximating the value of the dependent variable under five initial conditions (where Milne takes four initial conditions) and then improving this value (closer to the exact value) by proper substitution in the formulae. This process is an iterative way to obtain the values and the process continuing until we get a proper level of accuracy.

Keywords: ODE, Milne's modified Predictor-Corrector, quantitative comparison, accuracy

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[3] B. D. SHARMA, "Differential equations", KedarNath-Ram Nath, Meerut, 2006, PP.06
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[5] V. N. VEDAMURTHY and N. Ch. S. N. IYENGAR, "Numerical methods", Vikas Publishing house Private Ltd., New Delhi, 2002, PP.11.49, 11.21, 11.58
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[7] JAMES B. SCARBOROUGH, " Numerical mathematical analysis" Oxford and IBM Publishing Co. Pvt. Ltd., 1966, PP.354.
[8] S. BALACHANDRA RAO and C. K. SHANTHA, "Numerical methods", Universities Press India Ltd., Hyderabad, 2000, PP.386.
[9] S. S. SASTRY, 2002. "Introductory methods of numerical analysis", Third edition, Prentic-Hall of India Private Ltd., New Delhi, 2002, PP.303.

Abstract: We are familiar with the geometric definition of Real roots of a Quadratic function as the x-intercept of the Quadratic functions graph; however such a geometric definition is not given for the Complex roots of a Quadratic function. This paper geometrically defines complex numbers as solution of Quadratic Equations. In-order to achieve this a new coordinate space is defined where given a quadratic function with complex solution we can geometrically plot complex solutions to it, in this new coordinate frame. Thus the solution to any Quadratic equation with complex solutions can be derived geometrically. Also this coordinate frame will define the entire Complex Plane as a Solution Space of Quadratic functions with complex roots.

Wikipedia Articles: Complex numbers Wikipedia

Complex plane Wikipedia Articles: Quadratic function Wikipedia Articles:

Quadratic equation

Paul Dawkins: Calculus I (Link: http://tutorial.math.lamar.edu/)