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Replacement Theory

  Operations Research
Content
•   Failure Mechanism
•   Replacement Models
•   Selecting Best Equipment
•   Recruitment and Promotion
When do we replace products or
         services?
Replacement Problem
• When should a product or service be
  replaced?
  – Economic/ Financial considerations (when cost of
    maintenance becomes higher than cost of
    replacement)
  – Other considerations
     •   Replace on complete breakdown
     •   Replace after n failures
     •   Replace at periodic intervals
     •   Etc.
Replacement Theory
A thought experiment
• When a product or service deteriorates gradually, how to
  decide when to replace?

• How to mitigate the risk of sudden failure? (Your car engine
  stalls)

• How to handle a scenario where people rather than
  products are involved? (When one of your best people’s
  performance goes down, what to do?)

• What to do if a product goes out of fashion/ obsolete
  compared to other new products? (When to replace your
  Sony Walkman?)
General approach to solve
         replacement problems
• Analyze the failure or performance reduction
  pattern over time
• Assess probability
• Assess costs of replacement
  – Actual cost
  – Cost of replacement (labour etc.)
  – Cost of disruption (opportunity loss, lost
    production, lost orders, learning curve)
Scenario 1: Maintenance cost
        increases over time
Purchasing   Maintenance   Maintenance   Maintenance   Scrap
  Price         Cost          Cost          Cost       Value
Point of Lowest Cost
Adjusting for time value of money
Sudden Failure Scenario
• We have to look at probabilities of failure and
  cost of failure
• Individual replacement
  – Replace on failure
  – Attrition of employees also falls under this
    scenario
• Group replacement
  – When one individual in a set of products fails,
    replace the entire group

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Replacement Theory

  • 1. Replacement Theory Operations Research
  • 2. Content • Failure Mechanism • Replacement Models • Selecting Best Equipment • Recruitment and Promotion
  • 3. When do we replace products or services?
  • 4. Replacement Problem • When should a product or service be replaced? – Economic/ Financial considerations (when cost of maintenance becomes higher than cost of replacement) – Other considerations • Replace on complete breakdown • Replace after n failures • Replace at periodic intervals • Etc.
  • 6. A thought experiment • When a product or service deteriorates gradually, how to decide when to replace? • How to mitigate the risk of sudden failure? (Your car engine stalls) • How to handle a scenario where people rather than products are involved? (When one of your best people’s performance goes down, what to do?) • What to do if a product goes out of fashion/ obsolete compared to other new products? (When to replace your Sony Walkman?)
  • 7. General approach to solve replacement problems • Analyze the failure or performance reduction pattern over time • Assess probability • Assess costs of replacement – Actual cost – Cost of replacement (labour etc.) – Cost of disruption (opportunity loss, lost production, lost orders, learning curve)
  • 8. Scenario 1: Maintenance cost increases over time Purchasing Maintenance Maintenance Maintenance Scrap Price Cost Cost Cost Value
  • 10. Adjusting for time value of money
  • 11. Sudden Failure Scenario • We have to look at probabilities of failure and cost of failure • Individual replacement – Replace on failure – Attrition of employees also falls under this scenario • Group replacement – When one individual in a set of products fails, replace the entire group