System Reliability: Series vs. Parallel

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Questions and Answers

A company is deciding whether to invest in automation to improve productivity. Which question is MOST critical to ask before making this change?

  • Will this technological change actually work as intended? (correct)
  • How will this affect our relationships with current suppliers?
  • What new training programs will employees need?
  • Is the payback period shorter than other potential investments?

Which of the following scenarios BEST exemplifies the application of the Pareto principle in quality control?

  • Randomly sampling products to identify potential quality issues.
  • Implementing daily inspections to catch every minor defect in a product line.
  • Creating detailed flowcharts to document every step in the production process.
  • Focusing efforts on resolving the most frequent customer complaints to improve overall satisfaction. (correct)

In a production process, a control chart indicates a data point is outside the upper control limit. What IMMEDIATE action should be taken?

  • Recalibrate all measurement tools.
  • Adjust the control limits to include the data point.
  • Stop the process and investigate for assignable cause variation. (correct)
  • Increase the sample size for the next inspection.

How does a 'systems approach' enhance operational efficiency within an organization?

<p>By emphasizing the interdependencies of different parts working together towards a common goal. (C)</p> Signup and view all the answers

A manufacturing company uses statistical process control (SPC). What is the PRIMARY goal of using SPC?

<p>To identify and correct assignable causes of variation to maintain process control. (A)</p> Signup and view all the answers

What is the fundamental difference between 'goods' and 'services' in operations management?

<p>Goods are tangible and can be inventoried, while services are intangible activities. (D)</p> Signup and view all the answers

A company wants to improve the reliability of a system consisting of three components in series. If the reliabilities of the components are 0.90, 0.80, and 0.70, respectively, what is the overall reliability of the system?

<p>0.504 (A)</p> Signup and view all the answers

A parallel system has two components, each with a reliability of 0.8. What is the reliability of the parallel system?

<p>0.96 (C)</p> Signup and view all the answers

In process control, what distinguishes 'natural variation' from 'assignable variation'?

<p>Natural variation is inherent and random; assignable variation has identifiable causes. (C)</p> Signup and view all the answers

How does process capability relate to customer specifications?

<p>Process capability measures how well a process meets customer specifications. (B)</p> Signup and view all the answers

Flashcards

Model

An abstraction of reality; a simplification of something.

System

A set of interrelated parts that must work together.

Products and Services

Physical items (goods) and activities performed for customers (services).

Reliability

The ability of a product, part, or system to perform its intended function under a given set of conditions.

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Precedence Diagram

A diagram that shows elemental tasks and their precedence requirements.

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7 Basic Quality Tools

Tools used to analyze and improve quality, including flowcharts, check sheets, histograms, Pareto charts, scatter diagrams, control charts, and cause-and-effect diagrams.

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SPC (Statistical Process Control)

Statistical evaluation technique that helps determine if a process is operating as expected.

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Transformation Process

Inputs are transformed into outputs (goods and services).

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Productivity

The ratio of output to input.

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Process Control

A means of judging the performance of a process compared to expectations.

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Study Notes

  • A model is an abstraction of reality and a simplification of something.
  • A system comprises interrelated parts that must work together.

Spot Analysis

  • Spot analysis involves analyzing products and services.
  • Goods/products are physical items, while services are activities.
  • A car is an example of a good, while a haircut is an example of a service.

Reliability

  • Reliability is the ability of a product, part, or system to perform its intended function.
  • Series and parallel systems are two common system configurations regarding reliability.

Series System

  • The reliability of a series system is calculated as R1 * R2 * R3.
  • Series systems have lower reliability compared to parallel systems.
  • If one component fails in a series system, the entire system fails.

Parallel System

  • The reliability of a parallel system is calculated as 1 - (1 - R1) * (1 - R2).
  • If one component fails in a parallel system, others can take over.
  • Parallel systems have a higher reliability than series systems.

Precedence Diagram

  • A precedence diagram shows elemental tasks and their precedence requirements.

7 Basic Quality Tools

  • There are 7 basic quality tools, including:
  • Flowchart: Used to map out a process.
  • Check Sheet: Collects and organizes data.
  • Histogram: Displays the distribution of data.
  • Pareto Chart: Identifies the most significant factors.
  • Scatter Diagram: Shows the relationship between two variables.
  • Control Chart: Monitors a process over time.
  • Cause and Effect Diagram: Identifies potential causes of a problem.

SPC (Statistical Process Control)

  • SPC is a statistical evaluation that helps determine if a process is "in control" or if corrective action is needed.
  • SPC is used to control a process while products are being made using a control chart.

Transformation Process

  • The transformation process involves inputs, processes, and outputs (goods and services).

Productivity

  • Productivity is calculated as output divided by input.

Process Selection

  • Need some knowledge about different types of processes.

Control Charts

  • Two control charts are used: a mean chart and a range chart.
  • Questions involve interpreting charts to determine if a process is in control or not and whether to stop the process or not, watching for anything abnormal.
  • Out of control means there is something abnormal or an outlier outside of control limits.

Process Control and Process Capability

  • Variability is a key factor in process control which is shown with control charts.
  • Natural or inherent variability exists in a process.
  • Customer specification in relation to process performance needs to be considered.

Index Cpk Value

  • Red: .5 indicates defects.
  • Yellow: 1 indicates defects on lower and higher ends.
  • Green: 2 indicates highly capable.

Operations

  • Operations is the part of the business responsible for producing goods and services.

Systems Approach

  • The systems approach main theme is that the whole is greater than the sum of its parts.

Pareto Principle

  • The Pareto Principle is exemplified by 70% sales and 13% customer base.

Variation

  • There are two types of variation: random (common cause, natural variation) and assignable (special cause, nonrandom variation).

Process Variability

  • Analyze if the variations random.
  • Analyze if the variability of the process within a range that conforms to performance criteria.

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