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[[Target Reliability-Determine Target Reliability Based on Costs]]
<noinclude>{{Banner Weibull Examples}}
'''Target Reliability-Determine Target Reliability Based on Costs'''
''This example appears in the [https://help.reliasoft.com/reference/life_data_analysis Life data analysis reference]''.


This example illustrates how to use the Target Reliability tool in Weibull++ to estimate the target reliability for a product based on financial considerations.
Deciding on a reliability goal/target involves trade-offs. This is because higher reliability typically correlates with higher production costs, lower warranty costs, higher market share and higher unit sales price. This example illustrates how to use the Target Reliability tool in Weibull++ to estimate the target reliability for a product based on financial considerations.  


With high product reliability, the initial production cost is expected to be high, and the cost due to failure is expected to be low. Moreover, a product with high reliability is expected to have a higher market share and higher unit sales price. A suitable reliability goal will be determined using these factors.
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'''Determining Reliability Based on Costs'''


In this example, information on market share, sales prices, cost of production and costs due to failure are given in the following Figure.
The following table provides information for a particular product regarding market share, sales prices, cost of production and costs due to failure.


[[Image: Target Reliability Example Inputs.png|thumb|center|400px]]
[[Image: Target Reliability Example Inputs.png|center|650px]]


The first row in the above table is the probability of failure during the warranty period. For example, in the best case, the expected probability of failure will be 1% (i.e., the reliability will be 99%). Under this reliability, the expected market share is 80%, average unit sale price is $2.1, average cost per unit to produce is $1.5 and other costs per failure is $0.50.
The first row in the table indicates the probability of failure during the warranty period. For example, in the best case scenario, the expected probability of failure will be 1% (i.e., the reliability will be 99%). Under this reliability, the expected market share is 80%, average unit sale price is $2.10, average cost per unit to produce is $1.50 and other costs per failure is $0.50.  
 
The assumed Maximum Market Potential is 1,000,000 and the initial investment is $10,000.


The assumed maximum market potential is 1,000,000 units and the initial investment is $10,000.


'''Solution'''
'''Solution'''


Based on the inputs, the cost models are estimated and the results are shown in below:
Enter the given information in the Target Reliability tool in Weibull++ and click the '''Plot''' icon on the control panel. Next, click the '''Analysis Details''' button on the control panel to generate a report of the analysis. The following report shows the cost models.  
 
[[Image: Target Reliability Example Model Results.png|thumb|center|400px]]
 


From these model, the cost Vs. Reliability plot is:
[[Image: Target Reliability Example Model Results.png|center|550px]]


[[Image: Target Reliability Example Cost Plot.png|thumb|center|400px]]
The following figure shows the Cost vs. Reliability plot of the cost models. The green vertical line on the plot represents the estimated reliability value that will minimize costs. In this example, this reliability value is estimated to be 96.7% at the end of the warranty period.


The plot shows the best reliability value is 98.298%.
[[Image: Target Reliability Example Cost Plot.png|center|650px]]


The Profit vs. Reliability and R3OI vs. Reliability plots are also given in below.
The following figures show the Profit vs. Reliability plot and the R3OI vs. Reliability plot. In the R3OI plot, the initial investment is set to $10,000.


[[Image: Target Reliability Example Profit Plot.png|thumb|center|400px]]
[[Image: Target Reliability Example Profit Plot.png|center|650px]]


[[Image: Target Reliability Example R3OI Plot.png|thumb|center|400px]]


In the above R3OI plot, the initial investment is set to $10,000.
[[Image: Target Reliability Example R3OI Plot.png|center|650px]]

Latest revision as of 18:57, 18 September 2023

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This example appears in the Life data analysis reference.

Deciding on a reliability goal/target involves trade-offs. This is because higher reliability typically correlates with higher production costs, lower warranty costs, higher market share and higher unit sales price. This example illustrates how to use the Target Reliability tool in Weibull++ to estimate the target reliability for a product based on financial considerations.


Determining Reliability Based on Costs

The following table provides information for a particular product regarding market share, sales prices, cost of production and costs due to failure.

Target Reliability Example Inputs.png

The first row in the table indicates the probability of failure during the warranty period. For example, in the best case scenario, the expected probability of failure will be 1% (i.e., the reliability will be 99%). Under this reliability, the expected market share is 80%, average unit sale price is $2.10, average cost per unit to produce is $1.50 and other costs per failure is $0.50.

The assumed maximum market potential is 1,000,000 units and the initial investment is $10,000.

Solution

Enter the given information in the Target Reliability tool in Weibull++ and click the Plot icon on the control panel. Next, click the Analysis Details button on the control panel to generate a report of the analysis. The following report shows the cost models.

Target Reliability Example Model Results.png

The following figure shows the Cost vs. Reliability plot of the cost models. The green vertical line on the plot represents the estimated reliability value that will minimize costs. In this example, this reliability value is estimated to be 96.7% at the end of the warranty period.

Target Reliability Example Cost Plot.png

The following figures show the Profit vs. Reliability plot and the R3OI vs. Reliability plot. In the R3OI plot, the initial investment is set to $10,000.

Target Reliability Example Profit Plot.png


Target Reliability Example R3OI Plot.png