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A simple Heuristic
For m-Machine flow-shop &
Its application in
Routing-Scheduling problems
IGOR AVERBAKH, ODED BERMAN
The theory and application of scheduling
Yang che kai. 楊哲愷
The breakthrough of this paper
• The special application of Heuristic SYMM.
• In Routing scheduling flow shop
• Not only good at routing part, but scheduling part.

• Focus on traveling’s servers, not traveling jobs.

2014/1/6
Outline
• M-machine flow shop problem
• The worst case performance
• A Simple Heuristic performance

• Application to Routing-Scheduling
problem
• Case 1. Permutation Routing-Scheduling flow shop
• Case 2. General Routing scheduling flow-shop

• Further research in the future.

2014/1/6

3
Intro. m-M/Cs flow shop

2014/1/6

4
m-M/Cs flow shop
performance of the worst case
m=2

Each machine processes the jobs according to sequence
S without unnecessary idle times, starting a new job as
soon as the previous job is processed on that machine
and the new job is available after its execution on the
previous machine.
Job
1

M/C 1

Job
2

Job
3

Job
n-2

Job
n-1

Job
n

Scheduling jobs by a sequence S,
obtained by O(m*n).

M/C 2
OPT-1(S)
Job
1

2014/1/6

…

Job
2

Job
3

…

Job
n-2

Job
n-1

Job
n

5
m-M/Cs flow shop
performance of heuristic SYMM (1/2)

2014/1/6

6
m-M/Cs flow shop
performance of heuristic SYMM (2/2)

※Ref: Gonzalez and Sahni(1978) Rock and Schmidt(1983)
2014/1/6

7
Intro. Case 1
Permutation Routing-Scheduling

2014/1/6

8
Intro. Case 1.
Permutation Routing-Scheduling

…

M/C 1
M/C 2

…
M/C m
2014/1/6

9
Case 1.
By applying Heuristic SYMM-2

2014/1/6

10
Case 2.
General routing-scheduling

2014/1/6

11
Further research
• Routing open shop scheduling problem.
• Much precisely(efficient) heuristic for routingscheduling problem
• Aerial fleet refueling problem

2014/1/6

12
• thanks.

2014/1/6

13
Reference and link
• Paper links:
http://pubsonline.informs.org/doi/pdf/10.128
7/opre.47.1.165
• Slide share links:
• http://www.slideshare.net/chekaiyang/present
ation-schuduling

Paper QR-code
2014/1/6

Silde QR-code
14

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Presentation schuduling 楊哲愷(線上版)

  • 1. A simple Heuristic For m-Machine flow-shop & Its application in Routing-Scheduling problems IGOR AVERBAKH, ODED BERMAN The theory and application of scheduling Yang che kai. 楊哲愷
  • 2. The breakthrough of this paper • The special application of Heuristic SYMM. • In Routing scheduling flow shop • Not only good at routing part, but scheduling part. • Focus on traveling’s servers, not traveling jobs. 2014/1/6
  • 3. Outline • M-machine flow shop problem • The worst case performance • A Simple Heuristic performance • Application to Routing-Scheduling problem • Case 1. Permutation Routing-Scheduling flow shop • Case 2. General Routing scheduling flow-shop • Further research in the future. 2014/1/6 3
  • 4. Intro. m-M/Cs flow shop 2014/1/6 4
  • 5. m-M/Cs flow shop performance of the worst case m=2 Each machine processes the jobs according to sequence S without unnecessary idle times, starting a new job as soon as the previous job is processed on that machine and the new job is available after its execution on the previous machine. Job 1 M/C 1 Job 2 Job 3 Job n-2 Job n-1 Job n Scheduling jobs by a sequence S, obtained by O(m*n). M/C 2 OPT-1(S) Job 1 2014/1/6 … Job 2 Job 3 … Job n-2 Job n-1 Job n 5
  • 6. m-M/Cs flow shop performance of heuristic SYMM (1/2) 2014/1/6 6
  • 7. m-M/Cs flow shop performance of heuristic SYMM (2/2) ※Ref: Gonzalez and Sahni(1978) Rock and Schmidt(1983) 2014/1/6 7
  • 8. Intro. Case 1 Permutation Routing-Scheduling 2014/1/6 8
  • 9. Intro. Case 1. Permutation Routing-Scheduling … M/C 1 M/C 2 … M/C m 2014/1/6 9
  • 10. Case 1. By applying Heuristic SYMM-2 2014/1/6 10
  • 12. Further research • Routing open shop scheduling problem. • Much precisely(efficient) heuristic for routingscheduling problem • Aerial fleet refueling problem 2014/1/6 12
  • 14. Reference and link • Paper links: http://pubsonline.informs.org/doi/pdf/10.128 7/opre.47.1.165 • Slide share links: • http://www.slideshare.net/chekaiyang/present ation-schuduling Paper QR-code 2014/1/6 Silde QR-code 14