In Example 6.3-6, use LP to determine the shortest routes between the following pairs of nodes: (a)

Question:

In Example 6.3-6, use LP to determine the shortest routes between the following pairs of nodes:

(a) Node 1 to node 5.

(b) Node 2 to node 5.

Example 6.3-6

In the network of Example 6.3-4, determine the shortest route from node 1 to node 2—that is, s = 1 and t = 2. Figure 6.16 shows a unit flow entering node s = 1 and leaving node t = 2. The associated flow-conservation equations are (verify!):

FIGURE 6.16

Insertion of unit flow to determine shortest route between node s = 1 and node t = 2

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Operations Research An Introduction

ISBN: 9780137625727

11th Edition

Authors: Hamdy A. Taha

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Question Posted: Feb 23, 2023 07:47 AM

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In Example 6.3-6, use LP to determine the shortest routes between the following pairs of nodes: (a)

Question:

1 = x12 + X13 x23 + 1 X34 + X35 x42 + x45 Node 1: Node 2: x12 + x42 = Node 3: X13+ X23 = Node 4: X34 = Node 5: X35 + X45 = 0

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Operations Research An Introduction

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