'Minimum cost flow problem' presentation slideshows

Min Cost Flow: Polynomial Algorithms

Min Cost Flow: Polynomial Algorithms. Overview. Recap: Min Cost Flow, Residual Network Potential and Reduced Cost Polynomial Algorithms Approach Capacity Scaling Successive Shortest Path Algorithm Recap Incorporating Scaling Cost Scaling Preflow /Push Algorithm Recap

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BUS AND DRIVER SCHEDULING IN URBAN MASS TRANSIT SYSTEMS

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The Transportation and Assignment Problems

Chapter 9. The Transportation and Assignment Problems. Introduction. Transportation problem Many applications involve deciding how to optimally transport goods (or schedule production) Assignment problem Deals with assigning people to tasks Transportation and assignment problems

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MINIMUM COST FLOWS: NETWORK SIMPLEX ALGORITHM

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Capacity Constrained Routing Algorithms For Evacuation Planning: A Summary of Results Qingsong Lu, Betsy George, Shashi

Capacity Constrained Routing Algorithms For Evacuation Planning: A Summary of Results Qingsong Lu, Betsy George, Shashi Shekhar Spatial Database Research Group http://www.cs.umn.edu/research/shashi-group/ Department of Computer Science and Engineering University of Minnesota August 2005.

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Lecture 1 Introduction

Lecture 1 Introduction. Agenda. typical problems in transportation and logistics modeling shortest-path problems assignment problems. Typical Problems in Transportation and Logistics. Typical Problems in Transportation and Logistics. network-flow problems routing problems

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NETWORK PROBLEMS

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15.082J, 6.855J, and ESD.78J September 21, 2010

15.082J, 6.855J, and ESD.78J September 21, 2010. Eulerian Walks Flow Decomposition and Transformations. Eulerian Walks in Directed Graphs in O(m) time. Step 1. Create a breadth first search tree into node 1. For j not equal to 1, put the arc out of j in T last on the arc list A(j).

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15.082J, 6.855J, and ESD.78J September 21, 2010

15.082J, 6.855J, and ESD.78J September 21, 2010. Eulerian Walks Flow Decomposition and Transformations. Eulerian Walks in Directed Graphs in O(m) time. Step 1. Create a breadth first search tree into node 1. For j not equal to 1, put the arc out of j in T last on the arc list A(j).

314 views • 31 slides

A Linear Search Strategy Using Bounds

A Linear Search Strategy Using Bounds. Sharlee Climer and Weixiong Zhang. Overview. Introduction Example problem Results for Traveling Salesman Problem Future Work. Introduction. Linear search strategy called cut-and-solve At each step:

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Computational Methods for Management and Economics Carla Gomes

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15.053

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Orthogonal Drawing

Orthogonal Drawing. Kees Visser. Overview. Introduction Orthogonal representation Flow network Bend optimal drawing. Introduction. Orthogonal drawing Given embedding Only vertical or horizontal line segments Maximum degree of 4. Introduction. Uses in VLSI circuits Minimize bends

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Network Optimization Problem

Network Optimization Problem. Distribution Unlimited Co. Problem. The Distribution Unlimited Co. has two factories producing a product that needs to be shipped to two warehouses Factory 1 produces 80 units. Factory 2 produces 70 units. Warehouse 1 needs 60 units. Warehouse 2 needs 90 units.

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15.082 and 6.855J

15.082 and 6.855J. Cycle Canceling Algorithm. A minimum cost flow problem. 0. 0. 10, $4. 2. 4. 30, $7. 25, $5. 25. 1. 20, $2. 20, $6. 20, $1. 3. 5. 25, $2. 0. -25. The Original Capacities and Feasible Flow. 0. 0. 10, 10. 2. 4. 30, 25. 25, 15. 25. 1. 20, 10. 20, 20.

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Minimum Cost Flow

Minimum Cost Flow. Algorithms and Networks. This lecture. The minimum cost flow problem: statement and applications The cycle cancelling algorithm A polynomial time variant of cycle cancelling The successive shortest paths algorithm. Minimum Cost Flow I. Edges have

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Political problem

Political problem. Suppose a politician trying to win an election 3 types of areas --- urban, suburban, rural. Certain issues --- road, gun control, farm subsidies, gasoline tax. Try to find out the minimum amount of money you need to win 50,000 urban, 100,000 suburban, 25,000 rural votes.

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MGTSC 352

MGTSC 352. Lecture 18: Distribution Planning Rent-A-Dent example: a transportation problem Oil example: a minimum cost flow problem Henderson Food Company: shortest path problem. Distribution Planning. Rent-a-Dent example: Transportation problem

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