pdf 2. A manufacturer of MP3 players, purchases major electronic components as m

Question

pdf 2. A manufacturer of MP3 players, purchases major electronic components as modules. The reliabilities of components differ by supplier (see diagram, below). Suppose that the configuration of the major components is given by The components that can be purchased from three different suppliers. The Component Supplier 1 Supplier 2 Supplier 3 0.95 0.95 0.99 0.97 0.98 0.95 0.97 0.96 Transportation and purchasing considerations require that only one supplier be one should be selected if the player is to have t

Explanation / Answer

Answer to the question)

Formula of reliability when the components are parallel:

R1.2 = 1 – (1-r1)*(1-r2)

.

Formula of reliability when the components are in series:

R1.2 = r1*r2

.

Using these formulae we get:

For supplier 1

Rb.c = 1-(1-0.95)*(1-0.99) = 0.9995

R = Ra * Rb.c = 0.95*0.9995 =0.9495

R = 0.9495

.

For supplier 2

Rb.c == 1 – (1-0.98)*(1-0.95) = 0.9990

R = Ra*Rb.c = 0.97*0.9990 = 0.9690

R = 0.9690

.

For supplier 3

Rb.c = 1- (1-0.97)*(1-0.96) = 0.9988

R = Ra*Rb.c = 0.93 *0.9988 = 0.9289

R = 0.9289

.

Thus the highest reliability is observed from supplier 2, R = 0.9690

Hence the supplier 2 must be considered.

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