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Queueing Theory

Queueing Theory. Average person spends almost 6 months of their lifetime in queues; 3 days a year. Examples of Queues. What’s the longest you’ve waited in line for something? Has anybody left a queue early because it was taking too long?.

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Queueing Theory

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  1. QueueingTheory Average person spends almost 6 months of their lifetime in queues;3 days a year.

  2. Examples of Queues What’s the longest you’ve waited in line for something? Has anybody left a queue early because it was taking too long?

  3. Underground bunker (Disney Operational Command Center) beneath Cinderella Castle. Team dedicated to waiting times.

  4. Festival Toilets You are organising a festival. 5000 people will be attending and it will last 7 hours. How many toilets do you need?

  5. Aim Aim of all queues is to serve “customers” as quickly as possible. Waiting times depend on: • Demand/arrival rate (how many people are there) • Service time (how long does it take to serve a customer) To reduce waiting times we need more staff/checkouts.

  6. Class Investigation Should the local supermarket change from a queueing system with multiple queues to one with a single queue? We will simulate both queueing systems using 2 servers and compare the mean wait times.

  7. Simulation Simulation is a technique used extensively in business to aid the planning of new processes and investigate better ways of working current systems • Cost: much cheaper to run a computer simulation than to experiment with a store in real world. • Time: simulate long periods of time in seconds. • Experiment: easy to change many different factors to see what effect they have.

  8. 1 Queue 2 Queues

  9. Additional slide

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