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Welcome to MM305 Unit 6 Seminar Dr. Bob Network Models

Welcome to MM305 Unit 6 Seminar Dr. Bob Network Models. Network Models. Minimal-Spanning Tree Technique [least amount of material to connect all points] Maximal-Flow Technique [maximum amount of material that can flow through a network]

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Welcome to MM305 Unit 6 Seminar Dr. Bob Network Models

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  1. Welcome to MM305Unit 6 SeminarDr. BobNetwork Models

  2. Network Models • Minimal-Spanning Tree Technique [least amount of material to connect all points] • Maximal-Flow Technique [maximum amount of material that can flow through a network] • Shortest-Route Technique [travel from one location to another while minimizing total distance]

  3. Minimal-Spanning Tree Technique • The minimal-spanning tree technique involves connecting all the points of a network together while minimizing the distance between them. • See Problem 6-12 (page 222)

  4. Minimal-Spanning Tree TechniqueQM for Windows Distance Problem 6-12

  5. Minimal Spanning Tree Solution Total Distance

  6. Maximal-Flow Technique • The maximal-flow technique allows us to determine the maximum amount of a material that can flow through a network • See Solved Problem 6-2 (page 218)

  7. Maximal-Flow TechniqueQM for Windows Outbound Arcs

  8. Maximal-Flow Technique Total Flow

  9. Shortest-Route Technique • The shortest-routetechnique finds how a person or item can travel from one location to another while minimizing the total distance traveled • It finds the shortest route to a series of destinations • See Problem 6-9 (page 221)

  10. Shortest-Route Technique

  11. Shortest-Route Technique Shortest Route Total Distance

  12. Questions? • You can use Excel QM for Shortest-Path and Maximal Flow but NOT Minimal-Spanning Tree Technique. To solve Minimal-Spanning Tree problems you must use QM for Windows or do them by hand.

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