Mining Equipment Investment Analysis
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Questions and Answers

What is the total success time, Y, for the non-replacement test when K is 5 and the termination time t* is 200 hr?

  • 2,000 hr
  • 3,520 hr (correct)
  • 2,800 hr
  • 704 hr
  • How is the Mean Time To Failure (MTTF) calculated based on the total success time, Y, and the number of failures, K?

  • MTTF = Y + K
  • MTTF = Y - K
  • MTTF = K / Y
  • MTTF = Y / K (correct)
  • What is the calculated lower limit for the MTTF?

  • 1,200 hr
  • 786.8 hr
  • 334.9 hr (correct)
  • 400 hr
  • Which significance level is used in calculating the confidence intervals in the examples provided?

    <p>10% (B)</p> Signup and view all the answers

    What does the notation $eta = 10%$ signify in the context of confidence interval estimation?

    <p>The confidence level used in calculation is 90% (C)</p> Signup and view all the answers

    What is the proposed formula used to find the confidence interval limits for MTTF?

    <p>$ rac{2Y}{eta}$ and $ rac{2Y}{(1 - eta)}$ (B)</p> Signup and view all the answers

    What is the primary goal of performing a benefit-cost analysis in mining equipment investment decisions?

    <p>To determine if the benefits outweigh the investment costs (B)</p> Signup and view all the answers

    Which formula represents the benefit-cost ratio in equipment analysis?

    <p>Rbc = UB / IC (B)</p> Signup and view all the answers

    If the investment cost of mining equipment is $500,000 and the total user benefits over its lifespan is $900,000, what is the benefit-cost ratio?

    <p>1.80 (B)</p> Signup and view all the answers

    What additional cost must be considered when computing the investment cost for equipment?

    <p>Operating and maintenance costs (D)</p> Signup and view all the answers

    Which of the following methods is NOT mentioned as a useful method for making mining equipment investment decisions?

    <p>Net Present Value (NPV) method (D)</p> Signup and view all the answers

    What is a key factor in performing new equipment feasibility analyses?

    <p>Evaluating long-term financial goals (D)</p> Signup and view all the answers

    To enhance decision-making regarding equipment procurement, what should be analyzed alongside cost?

    <p>Efficiency of the equipment manufacturing process (D)</p> Signup and view all the answers

    What would disqualify a piece of mining equipment from consideration for development based on benefit-cost analysis?

    <p>If user benefits are equal to the investment costs (B)</p> Signup and view all the answers

    If the annual maintenance cost is $2,000, what is the total investment cost for the equipment over 15 years?

    <p>$530,000 (B), $530,000 (D)</p> Signup and view all the answers

    What is the annual expected failure cost (EFC) of equipment A?

    <p>$400 (B)</p> Signup and view all the answers

    Calculate the present value of the expected failure cost (PVEFC) for equipment B.

    <p>$3,792.7 (C)</p> Signup and view all the answers

    What is the selling price of equipment C used in the life cycle cost calculations?

    <p>$425,000 (D)</p> Signup and view all the answers

    Which equipment has the highest life cycle cost (LCC) among A, B, and C?

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

    What is the present value of the expected operating cost (PVEOC) for equipment A?

    <p>$42,141.5 (D)</p> Signup and view all the answers

    How is the annual expected failure cost (EFC) calculated?

    <p>Annual failure rate × Cost of a failure (A)</p> Signup and view all the answers

    What is the total life cycle cost (LCC) of equipment B?

    <p>$409,981.4 (D)</p> Signup and view all the answers

    What is the interest rate used in the present value calculations?

    <p>0.07 (A)</p> Signup and view all the answers

    Which step is NOT part of the life cycle costing process?

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

    What is the primary benefit of using PE technology in mining operations?

    <p>More precise, efficient, and safer operations (C)</p> Signup and view all the answers

    Which of the following statements best describes automation in mining?

    <p>Automation is a broader concept that can include various technologies. (A)</p> Signup and view all the answers

    What aspect sets PE technology apart from other forms of automation?

    <p>Its role in providing precise control and monitoring. (A)</p> Signup and view all the answers

    Which of the following is an example of mechanized pneumatic drilling?

    <p>Development drill rig (A)</p> Signup and view all the answers

    What is the expected outcome of implementing automation in mining, in terms of human intervention?

    <p>Reduced human intervention in various tasks (B)</p> Signup and view all the answers

    What has replaced periodic manual sampling in environmental monitoring?

    <p>Continuous monitoring with wireless sensors (D)</p> Signup and view all the answers

    How has ore extraction and processing changed with technological advancements?

    <p>From manual sorting to precision drilling guided by 3D models (A)</p> Signup and view all the answers

    Which of the following best describes what can be automated in mining?

    <p>Tasks that can be expressed as algorithms or computational processes (C)</p> Signup and view all the answers

    What was a limitation of training methods in the past compared to modern techniques?

    <p>Limited safety monitoring vs. real-time personnel tracking (C)</p> Signup and view all the answers

    What is one characteristic of programmable electronics in comparison to automation?

    <p>It focuses on specific programmable electronic devices. (D)</p> Signup and view all the answers

    Which of the following statements about the integration of digital technologies in mining is accurate?

    <p>It has transformed operations to be more productive and environmentally friendly. (B)</p> Signup and view all the answers

    Which aspect of mining cannot be automated according to the content?

    <p>Human thought and functions of complex adaptive systems (B)</p> Signup and view all the answers

    What is a benefit of using virtual and augmented reality for training in mining?

    <p>Improved safety monitoring (A)</p> Signup and view all the answers

    Which of the following describes a change in safety and training methods in mining?

    <p>Adoption of real-time tracking technology (A)</p> Signup and view all the answers

    What is automation's role in the future of mining?

    <p>To enhance productivity and operational efficiency (A)</p> Signup and view all the answers

    Flashcards

    MTTF

    Mean Time To Failure; average time items last before failing in a given context

    Confidence Interval

    A range of values likely to contain the true value of a measure with a specific confidence level.

    Confidence Level (90%)

    The probability that the confidence interval contains the true value (90% in this particular example).

    Life Test Termination Time (t*)

    The pre-set time when a life test is concluded, regardless of failing items.

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    Degrees of Freedom (df)

    A parameter used in statistical calculations, specifically related to the number of independent pieces of information available for estimation.

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    Significance Level (α)

    The probability of making a wrong decision when trying to conclude a hypothesis (the acceptable error risk; 10% in this example)

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    Chi-squared Distribution

    A statistical distribution used to model the sum of squared deviations from the mean. In particular, it is used to find upper and lower confidence limits on a MTTF when testing time is pre-determined.

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    Benefit-Cost Ratio

    A ratio comparing the total benefits of a project or equipment against its total costs (including investment, operation, and maintenance).

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    Benefit-Cost Ratio Formula

    Benefit-cost ratio (Rbc) = User Benefits (UB) / Investment Cost (IC).

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    Investment Cost (IC)

    The total cost of a project, including initial capital investment, ongoing operating expenses, and maintenance costs.

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    User Benefits (UB)

    The total economic advantages or value gained from a project or an investment in mining equipment over its useful life.

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    Mining Equipment Investment Decision

    Choosing whether to buy new mining equipment, considering both costs and potential gains over time.

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    Benefit/Cost Analysis Method

    A method of evaluating a project's economic feasibility by comparing its total benefits to its total costs.

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    Return on Investment (ROI)

    A method of evaluating the profitability of an investment.

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    Payback Period

    The length of time it takes for the benefits of an investment to cover the initial costs.

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    Equipment Feasibility Analysis

    The evaluation process to determine the practicality and profitability of acquiring particular mining equipment.

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    Life Cycle Cost (LCC)

    Total cost of owning and operating an asset throughout its entire lifespan, incorporating purchase price, operating costs, and failure costs.

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    Present Value of Equipment Failure Costs (PVEFC)

    The current worth of all future expected equipment failure costs, discounted by a rate.

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    Present Value of Equipment Operating Costs (PVEOC)

    The current worth of all future expected operating costs of an equipment, discounted by a rate.

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    Annual Expected Failure Cost (EFC)

    Estimated annual cost expected for equipment failure.

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    Annual failure rate

    Probability of equipment failure in a year.

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    Cost of Failure

    The monetary value of a single equipment failure.

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    Present Value Formula

    A general formula for present value calculation given by [1-(1+i)^-n]/i where 'i' is the interest rate and 'n' is the lifespan.

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    Interest Rate (i)

    Annual rate used for discounting future costs.

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    Useful operating life (n)

    Estimated lifespan of an equipment in years.

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    Annual operating cost

    Cost of operating equipment each year.

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    PE Technology

    Precise Engineering technology refers to using advanced and precise methods and tools to optimize operations in mining. It's about enhancing control, safety, and efficiency using technology.

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    Automation

    Automation is the use of technology to perform tasks with minimal human intervention. It can involve PE technology, but also includes other non-electronic systems.

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    What is the link between PE and Automation?

    PE technology is often a component of automation, contributing to the precision and control involved in automated systems.

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    Mechanized Pneumatic Drilling

    A drilling process that uses compressed air to power a drill, often used in mining for creating boreholes or blast holes.

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    LHD (Load, Haul, Dump) Machine

    A heavy-duty vehicle designed for material handling in underground mines, typically used to load, transport, and dump excavated materials.

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    Mining Technology Advancement

    The use of digital technologies, automation, and electrification to transform mining operations, making them more productive and environmentally friendly.

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    Virtual and Augmented Reality in Mining

    The use of VR and AR for training miners in safe and realistic environments. It also allows for real-time personnel tracking for safety.

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    Continuous Environmental Monitoring

    Using wireless sensors and data analysis to track environmental conditions in mines in real-time, compared to the past practice of periodic manual sampling.

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    Precision Drilling in Mining

    Using 3D models to guide drilling operations, leading to more efficient and precise extraction of ore.

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    Automated Sorting and Processing

    Using automated systems to sort and process ore, replacing manual labor and increasing efficiency.

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    Automation in Mining

    Using machines and software to perform tasks previously done by humans, aiming to improve efficiency and safety.

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    What can be Automated?

    Tasks that can be reduced to an algorithm or a computational process can be automated, meaning they can be done by machines.

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    What can't be Automated?

    Most human thought and complex adaptive systems involving creativity, judgment, or unpredictable environments cannot be easily automated.

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    Programmable Electronics (PE)

    Focuses on programmable devices like microprocessors, controllers, and software to control and monitor processes.

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    Automation vs. Programmable Electronics

    While both involve technology, automation aims to replace human tasks while PE focuses on creating specific electronic devices and software to control and monitor systems.

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    Study Notes

    Mining Equipment Testing

    • Testing is important for engineering product development
    • Highlights product weaknesses, behavior, and failure modes
    • Reliability testing is key for obtaining failure information and consequences
    • Effective reliability test programs minimize testing while maximizing failure data

    Reliability Test Classifications

    • Three categories based on objectives:
      • Reliability development and demonstration testing: identifies design changes and improvements, verifies design reliability.
      • Qualification and acceptance testing: determines if items should be accepted/rejected, ensures design meets objectives.
      • Operational testing: verifies reliability analyses during design/development, provides data for operational policies/procedures.

    Success Testing

    • Ensures a specified reliability level at a given confidence level.
    • Used when a zero-failure test is required.
    • Formula for reliability level (RL): RL = α(1/m) where α is consumer risk and m is total items tested

    Accelerated Life Testing (ALT)

    • Reduces test duration by changing parameters.
    • Methods include: sudden-death testing, increasing sample size, and increasing test severity.

    Accelerated Life Testing - Time Compression

    • Testing is done more intensely than actual usage.
    • Example: testing a blender at 20 times a day, 365 days a year for a 5-year product design life.

    Accelerated Life Testing - Increasing Sample Size

    • Increases sample size when wear-out isn't predicted within anticipated lifespan.
    • Increase in sample size decreases test time, inversely proportional.

    Accelerated Life Testing - Increasing Test Severity

    • Increases stress on the test unit, example includes varied voltage, heat, and temperature cycles for an engine.

    Confidence Interval Estimates

    • In reliability studies, times to item failure are assumed to be exponentially distributed, with a constant failure rate.
    • MTTF is the inverse of the failure rate.
    • It is useful to provide a range of values for MTTF rather than a single point estimate.

    Confidence Interval Estimates - Examples

    • Calculation of MTTF at different temperatures.

    Announcement

    • Representatives from KGHM will visit Laurentian University on Wednesday, October 30th at 1:00 pm in F-228.
    • Pizza will be served.

    Reliability of Mining Equipment Costing - I

    • Over the years, mining equipment costs have increased significantly.
    • Cost estimation is crucial for effective decisions.
    • Key cost components are design, materials, manufacturing, testing, operation, and maintenance.

    Mining Equipment Investment Decisions

    • Benefit/Cost analysis: determining if equipment benefits outweigh costs.
    • Return on Investment (ROI): calculating the profitability of an investment, or comparing investments.
    • Payback period: the time needed to recoup capital expenditures.

    Cost Estimation Models for Mining Equipment

    • Mathematical models are used to estimate equipment costs.
      • Cost-capacity model is useful for similar equipment with different capacities.
      • Corrective maintenance cost considers the mean time to fail and repair.
      • Total maintenance labor cost includes labor rate, and hours needed.
      • Production facility downtime considers cost of lost product, lost revenue, idle personnel salary, and late penalties.

    Life Cycle Costing Concept

    • Life cycle cost is the total cost over an item's lifespan (including purchase, operating, maintenance, and disposal costs).
    • Life cycle costing is widely used to compare options efficiently.

    Life Cycle Cost Estimation Model

    • Research and development, production, operations, and disposal costs are included in the LCC model.

    Robot Sensors

    • Robots need sensors to perceive their surroundings and make decisions.
    • Types include contact sensors (force, touch) and non-contact sensors (temperature, light, sound, chemical).

    Robot Programming

    • Two main programming methods:
      • Online (manual teaching, lead-through teaching).
      • Offline (programming languages).

    Future of Robotics in Mining

    • Automation can improve safety and productivity.
    • Replacement of workers may reduce workplace safety issues.
    • Long-term sustainability is considered.

    Automated Guided Vehicles (AGVs)

    • AGVs are autonomous or semi-autonomous
    • Use sensors and machine learning to navigate.

    Artificial Intelligence (AI)

    • AI is the capability of machines to perform tasks typically done by humans.
    • Key components include machine learning, deep learning, and natural language processing.
    • AI in the mining industry may be used for navigation of autonomous vehicles, equipment analysis, safety issues or equipment failure prediction, and remote control systems.

    Hierarchical Structure of a Robot Control System

    • Hierarchical control systems involve three layers of control: Planning, Executive, and Behavioral.
    • Each layer has specific responsibilities.

    Kinematics of Robots

    • Kinematics is the study of relationships between robots' joint coordinates and spatial arrangement.
    • Two main kinematics processes: forward and inverse kinematics.
    • Forward kinematics: Determines the end-effector's position with known joint angles.
    • Inverse kinematics: Finds the appropriate joint angles to achieve a desired end-effector position.

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    Description

    This quiz focuses on various calculations related to the evaluation of mining equipment investments. Topics include success time calculations, Mean Time To Failure (MTTF), confidence intervals, and benefit-cost analysis. Test your understanding of key formulas and concepts in mining equipment decision-making.

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