Study of Mathematical Model and Ant Colony Optimization (ACO)

Study of Mathematical Model and Ant Colony Optimization (ACO)

Dr. Pawandeep Chahal

Contact

α Punjab Technical University

Study of Mathematical Model and Ant Colony Optimization (ACO)

Article Fingerprint

ReserarchID

29059

Study of Mathematical Model and Ant Colony Optimization (ACO) Banner

AI TAKEAWAY

Connecting with the Eternal Ground

Abstract

In this paper we define those mathematical notions and terms that are useful about ACO and the relationships between ACO and other frameworks for optimization and control. This chapter defines and discusses the characteristics of: (i) the combinatorial optimization problems addressed by ACO, (ii) construction heuristics for combinatorial problems, (iii) the equivalence between solution construction and sequential decision process (iv) the graphical tools (state graph and construction graph) that can be used to represent and reason on the structure and dynamics of construction processes.

References

34 Cites in Article

Reference Format

C Bibby,T Abe,S Levin,M Higashi (1997). Biodiversity: An Ecological Perspective..
M Beckmann,C Mcguire,C Winstein (1956). Studies in the Economices of Transportation.
R Bellman (1957). Dynamic Programming.
R Bellman (1958). On a routing problem.
Dimitri Bertsekas,John Tsitsiklis,Cynara Wu (1997). Rollout Algorithms for Combinatorial Optimization.
Mauro Birattari,Gianni Di Caro,Marco Dorigo (2002). Toward the Formal Foundation of Ant Programming.
J Bland (2001). OPTIMAL STRUCTURAL DESIGN BY ANT COLONY OPTIMIZATION.
J Bland (1999). LAYOUT OF FACILITIES USING AN ANT SYSTEM APPROACH.
J Bland (1999). Space-planning by ant colony optimisation.
K Bolding,M Fulgham,L Snyder (1994). The case for chaotic adaptive routing.
E Bonabeau,M Dorigo,G Theraulaz (1999). Swarm Intelligence: From Natural to Artificial Systems.
Josh Broch,David Maltz,David Johnson,Yih-Chun Hu,Jorjeta Jetcheva (1998). A performance comparison of multi-hop wireless ad hoc network routing protocols.
Daniel Câmara,Antonio Loureiro (2001). GPS/Ant-Like Routing in Ad Hoc Networks.
H Chang,W Gutjahr,J Yang,S Park (2003). An Ant System approach to Markov Decision Processes.
C Cheng,R Riley,S Kumar,J Garcia-Luna-Aceves (1989). A loop-free extended Bellman-Ford routing protocol without bouncing effect.
L Chrisman (1992). Reinforcement learning with perceptual aliasing: The perceptual distinctions approach.
I Cidon,R Rom,Y Shavitt (1997). Multi-path routing combined with resource reservation.
I Cidon,R Rom,Y Shavitt (1999). Analysis of multi-path routing.
A Colorni,M Dorigo,V Maniezzo,M Trubian (1994). Figure 4: Initial conditions between ant colony in a nest and food source (Dorigo, Maniezzo & Colorni, 1996)..
M Cottarelli,A Gobbi (1997). Estensioni dell'algoritmo formiche per il problema del commesso via ggiatore.
J-L Deneubourg,S Aron,S Goss,J.-M Pasteels (1990). The self-organizing exploratory pattern of the argentine ant.
J Deneubourg,S Goss,N Franks,A Sendova-Franks,C Detrain,L Chrétien (1991). The Dynamics of Collective Sorting: Robot-Like Ants and Ant-Like Robots.
G,Di Caro,M Dorigo (1997). AntNet: A mobile agents approach to adaptive routing.
G Caro,F Ducatelle,L Gambardella (2004). AntHocNet: an ant-based hybrid routing algorithm for mobile ad hoc networks.
G Caro,F Ducatelle,L Gambardella (2005). AntHocNet: an adaptive nature-inspired algorithm for routing in mobile ad hoc networks.
E Dijkstra (1959). A note on two problems in connexion with graphs.
M Dorigo,G Caro,L Gambardella (1999). Ant algorithms for discrete optimization.
J Garcia-Luna-Aceves,Shree Murthy (1997). A path-finding algorithm for loop-free routing.
Fred Glover (1989). Tabu Search—Part I.
J Moy (1994). OSPF Version 2.
J Moy (1998). OSPF Anatomy of an Internet Routing Protocol.
Guillermo Owen (1995). The not-quite non-atomic game: Homogeneous games on two measures.
Martin Puterman (1994). Markov Decision Processes.
K Romer,Friedemann Mattern (2004). The design space of wireless sensor networks.

Download References

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. Pawandeep Chahal. 2013. \u201cStudy of Mathematical Model and Ant Colony Optimization (ACO)\u201d. Global Journal of Research in Engineering - J: General Engineering GJRE-J Volume 12 (GJRE Volume 12 Issue J4): .

More Citation Formats

Select Citation Style:

Download Citation

Download Article

GJRE Volume 12 Issue J4
Pg. 23- 28

Explore Journals Explore Volume Read This Issue

Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Keywords

combinatorial optimization and control

Submission ReceivedDecember 12, 2011
Peer Review Double Blind
Handling Editor
Accepted December 31, 2011
Published January 15, 2012

Version of record

v1.2

Issue date

January 6, 2013

Language

Experiance in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

View in VR

Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

View in 3D

Article Matrices

Total Score: 106

Country: India

Subject: Global Journal of Research in Engineering - J: General Engineering

Authors: Dr. Pawandeep Chahal (PhD/Dr. count: 1)

View Count (all-time): 194

Total Views (Real + Logic): 5075

Total Downloads (simulated): 2511

Publish Date: 2013 01, Sun

Monthly Totals (Real + Logic):

Month 1: 22 views
Month 2: 60 views
Month 3: 28 views
Month 4: 62 views
Month 5: 27 views
Month 6: 40 views
Month 7: 22 views
Month 8: 23 views
Month 9: 33 views
Month 10: 32 views
Month 11: 48 views
Month 12: 20 views
Month 13: 36 views
Month 14: 29 views
Month 15: 38 views
Month 16: 21 views
Month 17: 48 views
Month 18: 18 views
Month 19: 45 views
Month 20: 33 views
Month 21: 17 views
Month 22: 29 views
Month 23: 29 views
Month 24: 18 views
Month 25: 40 views
Month 26: 34 views
Month 27: 28 views
Month 28: 36 views
Month 29: 34 views
Month 30: 28 views
Month 31: 31 views
Month 32: 19 views
Month 33: 22 views
Month 34: 30 views
Month 35: 22 views
Month 36: 21 views
Month 37: 37 views
Month 38: 45 views
Month 39: 35 views
Month 40: 31 views
Month 41: 31 views
Month 42: 32 views
Month 43: 37 views
Month 44: 18 views
Month 45: 43 views
Month 46: 36 views
Month 47: 41 views
Month 48: 17 views
Month 49: 49 views
Month 50: 28 views
Month 51: 23 views
Month 52: 34 views
Month 53: 38 views
Month 54: 34 views
Month 55: 32 views
Month 56: 30 views
Month 57: 42 views
Month 58: 16 views
Month 59: 42 views
Month 60: 17 views
Month 61: 35 views
Month 62: 24 views
Month 63: 39 views
Month 64: 28 views
Month 65: 35 views
Month 66: 32 views
Month 67: 25 views
Month 68: 37 views
Month 69: 32 views
Month 70: 15 views
Month 71: 20 views
Month 72: 27 views
Month 73: 31 views
Month 74: 23 views
Month 75: 40 views
Month 76: 35 views
Month 77: 18 views
Month 78: 38 views
Month 79: 36 views
Month 80: 33 views
Month 81: 45 views
Month 82: 45 views
Month 83: 32 views
Month 84: 24 views
Month 85: 33 views
Month 86: 20 views
Month 87: 21 views
Month 88: 32 views
Month 89: 15 views
Month 90: 41 views
Month 91: 29 views
Month 92: 13 views
Month 93: 30 views
Month 94: 17 views
Month 95: 28 views
Month 96: 36 views
Month 97: 44 views
Month 98: 19 views
Month 99: 43 views
Month 100: 13 views
Month 101: 21 views
Month 102: 20 views
Month 103: 23 views
Month 104: 37 views
Month 105: 13 views
Month 106: 29 views
Month 107: 32 views
Month 108: 26 views
Month 109: 35 views
Month 110: 31 views
Month 111: 43 views
Month 112: 34 views
Month 113: 21 views
Month 114: 43 views
Month 115: 23 views
Month 116: 23 views
Month 117: 15 views
Month 118: 19 views
Month 119: 37 views
Month 120: 34 views
Month 121: 31 views
Month 122: 34 views
Month 123: 28 views
Month 124: 32 views
Month 125: 39 views
Month 126: 41 views
Month 127: 30 views
Month 128: 47 views
Month 129: 31 views
Month 130: 26 views
Month 131: 40 views
Month 132: 35 views
Month 133: 17 views
Month 134: 39 views
Month 135: 20 views
Month 136: 28 views
Month 137: 22 views
Month 138: 43 views
Month 139: 24 views
Month 140: 26 views
Month 141: 24 views
Month 142: 13 views
Month 143: 37 views
Month 144: 28 views
Month 145: 48 views
Month 146: 42 views
Month 147: 26 views
Month 148: 44 views
Month 149: 27 views
Month 150: 24 views
Month 151: 24 views
Month 152: 34 views
Month 153: 32 views
Month 154: 26 views
Month 155: 21 views
Month 156: 20 views
Month 157: 37 views
Month 158: 11 views
Month 159: 51 views
Month 160: 45 views
Month 161: 25 views

Total Views: 5075

Total Downloads: 2511

2026 Trends

Published Article

Our website is actively being updated, and changes may occur frequently. Please clear your browser cache if needed. For feedback or error reporting, please email [email protected]