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Operations Methods by Ken Shaw

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Chapter 7

Useful Tools and Simulation Methods

This chapter discusses some tools that can simplify waiting line analyses and the basic simulation approaches for evaluating variances in waiting line behavior and analyzing situations for which no closed-form mathematical solution yet exists. Specific topics include the following:

  • Little’s Law
  • Waiting line data collection
  • Probability distribution determination
  • Simulation models
    • Excel tools
    • Single-channel models
      • M/M/1 model
      • M/G/1 model
      • G/M/1
      • G/G/1 model
    • Multiple-channel models
    • Single-channel, multiple-phase manufacturing model
  • Random number approximations of probability distributions

Little’s Law,1 L = λW or Lq = λWq, is arguably the most useful concept that waiting line analysts have in their ...

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