chap11_2011_2

chap11_2011_2 - 11.5 Traveling Salesman and Routing Models...

Info iconThis preview shows pages 1–14. Sign up to view the full content.

View Full Document Right Arrow Icon
11.5 Traveling Salesman and Routing Models
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Example 11.8 NCB Circuit Board TSP Figure 11.4 shows the tiny example that we will investigate for fictional board manufacturer NCB. We seek an optimal route through the 10 hole locations indicated. Table 11.7 reports straight-line distances di,j between hole locations i and j. Lines in Figure 11.4 show a fair quality solution with total length 92.8 inches. The best route is 11 inches shorter (see Section 12.6). 1 2 3 4 5 6 7 8 9 10 1 3.6 5.1 10.0 15.3 20.0 16.0 14.2 23.0 26.4 2 3.6 3.6 6.4 12.1 18.1 13.2 10.6 19.7 23.0 3 5.1 3.6 7.1 10.6 15.0 15.8 10.8 18.4 21.9 4 10.0 6.4 7.1 7.0 15.7 10.0 4.2 13.9 17.0 5 15.3 12.1 10.6 7.0 9.9 15.3 5.0 7.8 11.3 6 20.0 18.1 15.0 15.7 9.9 25.0 14.9 12.0 15.0 7 16.0 13.2 15.8 10.0 15.3 25.0 10.3 19.2 21.0 8 14.2 10.6 10.8 4.2 5.0 14.9 10.3 10.2 13.0 9 23.0 19.7 18.4 13.9 7.8 12.0 19.2 10.2 3.6 1 2 3 4 5 6 7 8 9 10
Background image of page 2
Formulating the Symmetric TSP (11.15) (11.16)
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Subtours (11.17) 1 2 3 4 5 6 7 8 9 10
Background image of page 4
ILP Model of the Symmetric TSP [11.25]
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
ILP Model of the Asymmetric TSP [11.26]
Background image of page 6
Quadratic Assignment Formulation of the TSP [11.27] s.t. Let
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Example 11.9 KI Truck Routing Kraft Incorporated confronts such multiple-route design problems in planning truck delivery of its food products to over 100,000 commercial, industrial, and military customers in North America. Known customer requirements must be grouped into truckloads and then routes planned. Our tiny fictitious version of the KI case has 20 stops to be serviced from a single depot. Stop, i fi Stop, i fi 1 0.25 11 0.21 2 0.33 12 0.68 3 0.39 13 0.16 4 0.40 14 0.19 5 0.27 15 0.22 6 0.70 16 0.38 7 0.28 17 0.26 8 0.43 18 0.29 9 0.50 19 0.17 10 0.22 20 0.31 1 2 3 4 5 6 7 8 9 12 19 18 16 13 11 10 15 14 17 20
Background image of page 8
Example 11.9 KI Truck Routing 1 2 3 4 5 6 7 8 9 12 19 18 16 13 11 10 15 14 17 20
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
KI Truck Routing Example Model s.t. Let (11.18)
Background image of page 10
KI Truck Routing Example Model
Background image of page 11

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Fixed charges can be modeled with new binary variables and switching constraints. Facility Location and Network Design are common cases of fixed charges. Facility Location Models Facility/plant/warehouse location models choose which of a proposed list of facilities to open in order to service specified customer demands at minimum total cost. [11.29] 11.6 Facility Location and Network Design Models
Background image of page 12
Example 11.10 Tmark Facilities Location AT&T has confronted many facility location problems in recommending sites for the toll-free call-in centers of its telemarketing customers. Such centers handle telephone reservations and orders arising in many geographic zones. Since telephone rates vary dramatically depending on the zone of call origin and the location of the receiving center, site selection is extremely important. A well-designed system should minimize the total of call charges and center setup costs. Our version of this scenario will involve fictional firm Tmark.
Background image of page 13

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 14
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/03/2011 for the course ESI 6316 taught by Professor Staff during the Summer '11 term at FIU.

Page1 / 38

chap11_2011_2 - 11.5 Traveling Salesman and Routing Models...

This preview shows document pages 1 - 14. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online