Designing metropolitan wavelength division multiplexing (WDM) ring networks with minimum deployment cost is a demanding issue in Telecommunication Network planning . We have already presented amplifier placement methods to minimize the number of amplifiers in WDM rings for the case all amplifiers follow a unique gain model. In this paper, we take into account different types of amplifiers with predefined fixed characteristics and costs. We also formulate fiber dispersion limitations on the ring design, and present two efficient methods for placing amplifiers and Dispersion Compensation Modules (DCMs) in WDM rings to minimize the total deployment cost of the system. The first method deals with both linear and nonlinear equations and uses a mixed integer nonlinear programming (MINLP) solver where the second method applies the linear approximation of nonlinear constraints, and uses a mixed integer linear programming (MILP) solver to minimize the total cost of the system. We carry out Simulation experiments to confirm the applicability of the methods and compare the results for various network configurations.

© 2006 Optical Society of America

1. A. Saleh and J. Simmons, "Architectural principles of optical regional and metropolitan access networks," J. Lightwave Technol. 17, 2431 - 2448 (1999). [CrossRef]
2. M. Borella, J. Jue, D. Banerjee, B. Ramamurthy, and B. Mukherjee, "Optical components for WDM lightwave networks," Proceedings of the IEEE 85, 1274 - 1307 (1997). [CrossRef]
3. R. K. Ahuja, T. L. Magnanti, and J. B. Orlin, Network Flows (Prentice Hall, New Jersey, 1993).
4. R. Ramaswami and K. N. Sivarajan, Optical Networks: A Practical perspective (Morgan Kaufmann, San Francisco, CA, 1998).
5. B. Sanso and P. Soriano, Telecommunications Network Planning (Kluwer Academic, Norwell, MA, 1999). [CrossRef]
6. T. E. Stern and K. Bala, Multiwavelength optical Networks: A Layered approach (Addison Wesley, Reading, MA, 1999).
7. <jrn>. C.-S. Li, F.-K. Tong, C. Georgiou, and M. Chen, "Gain equalization in metropolitan and wide area optical networks using optical amplifiers," Proceedings IEEE INFOCOM ’94 1, 130 - 137 (1994).</jrn>
8. B. Ramamurthy, J. Iness, and B. Mukherjee, "Optimizing amplifier placements in a multiwavelength optical LAN/MAN: the equally powered-wavelengths case," J. Lightwave Technol. 16, 1560 - 1569 (Sept. 1998). [CrossRef]
9. B. Ramamurthy, J. Iness, and B. Mukherjee, "Optimizing amplifier placements in a multiwavelength optical LAN/MAN: the unequally powered wavelengths case," IEEE/ACM Transactions on Networking 6, 755 - 767 (1998). [CrossRef]
10. J. Iness and B. Mukherjee, "New optical amplifier placement schemes for broadcast networks," European Transactions on Telecommunications 11, 117 - 124 (2000).
11. A. Fumagalli, G. Balestra, and L. Valcarenghi, "Optimal amplifier placement in multi-wavelength optical networks based on simulated annealing," Proceedings of the SPIE - The International Society for Optical Engineering 3531, 268 - 279 (1998).
12. L. Zhong and B. Ramamurthy, "Optimization of amplifier placements in switch-based optical networks," ICC 2001. IEEE International Conference on Communications 1, 224 - 228 (2001).
13. A. Tran, R. Tucker, and N. Boland, "Amplifier placement methods for metropolitan WDM ring networks," J. Lightwave Technol. 22, 2509 - 2522 (2004). [CrossRef]
14. A. Minagar and M. Premaratne, "Cost Optimal Configuration of Optical Networks," J. Lightwave Technol. 243295 - 3302 (2006). [CrossRef]
15. P. Saengudomlert, E. Modiano, and R. Gallager, "On-line routing and wavelength assignment for dynamic traffic in WDM ring and torus networks," IEEE/ACM Transactions on Networking 14, 330 - 340 (2006). [CrossRef]
16. K. Mosharaf, "Optimal Resource Allocation and Fairness Control in All-Optical WDMNetworks," IEEE Journal on Selected Areas in Communications 23, 1496 - 1507 (2005). [CrossRef]
17. B. Mukherjee, "WDM Optical Communication Networks: Progress and Challenges," IEEE Journal on Selected Areas in Communications 18, 1810 - 1824 (2000). [CrossRef]
18. G. P. Agrawal, Fiber-Optic Communication Systems, 3rd ed. (Wiley-Interscience, New York, 2002). [CrossRef]
19. W. Cornwell and I. Andonovic, "Interferometric noise for a single interferer: comparison between theory and experiment," Electron. Lett. 32, 1501 - 1502 (1996). [CrossRef]
20. R. Fourer, D. M. Gay, and B. W. Kernighan, AMPL: A Modeling Language for Mathematical Programming, 2nd ed. (Duxbury Press, Toronto, 2003).
21. "MINLP solver on NEOS server," URL http://neos.mcs.anl.gov/neos/solvers/minco:MINLP/AMPL.html.
22. "User Manual for MINLP," URL http://www.maths.dundee.ac.uk/˜ sleyffer/MINLP manual.ps.Z.
23. "MINTO solver on NEOS server," URL http://neos.mcs.anl.gov/neos/solvers/milp:MINTO/AMPL.html.

Electron. Lett.

• W. Cornwell and I. Andonovic, "Interferometric noise for a single interferer: comparison between theory and experiment," Electron. Lett. 32, 1501 - 1502 (1996). [CrossRef]

European Transactions on Telecommunications

• J. Iness and B. Mukherjee, "New optical amplifier placement schemes for broadcast networks," European Transactions on Telecommunications 11, 117 - 124 (2000).

IEEE Journal on Selected Areas in Communications

• K. Mosharaf, "Optimal Resource Allocation and Fairness Control in All-Optical WDMNetworks," IEEE Journal on Selected Areas in Communications 23, 1496 - 1507 (2005). [CrossRef]
• B. Mukherjee, "WDM Optical Communication Networks: Progress and Challenges," IEEE Journal on Selected Areas in Communications 18, 1810 - 1824 (2000). [CrossRef]

J. Lightwave Technol.

• A. Tran, R. Tucker, and N. Boland, "Amplifier placement methods for metropolitan WDM ring networks," J. Lightwave Technol. 22, 2509 - 2522 (2004). [CrossRef]
• A. Minagar and M. Premaratne, "Cost Optimal Configuration of Optical Networks," J. Lightwave Technol. 243295 - 3302 (2006). [CrossRef]
• B. Ramamurthy, J. Iness, and B. Mukherjee, "Optimizing amplifier placements in a multiwavelength optical LAN/MAN: the equally powered-wavelengths case," J. Lightwave Technol. 16, 1560 - 1569 (Sept. 1998). [CrossRef]
• A. Saleh and J. Simmons, "Architectural principles of optical regional and metropolitan access networks," J. Lightwave Technol. 17, 2431 - 2448 (1999). [CrossRef]

Proceedings of the IEEE

• M. Borella, J. Jue, D. Banerjee, B. Ramamurthy, and B. Mukherjee, "Optical components for WDM lightwave networks," Proceedings of the IEEE 85, 1274 - 1307 (1997). [CrossRef]

Other

• R. K. Ahuja, T. L. Magnanti, and J. B. Orlin, Network Flows (Prentice Hall, New Jersey, 1993).
• R. Ramaswami and K. N. Sivarajan, Optical Networks: A Practical perspective (Morgan Kaufmann, San Francisco, CA, 1998).
• B. Sanso and P. Soriano, Telecommunications Network Planning (Kluwer Academic, Norwell, MA, 1999). [CrossRef]
• T. E. Stern and K. Bala, Multiwavelength optical Networks: A Layered approach (Addison Wesley, Reading, MA, 1999).
• <jrn>. C.-S. Li, F.-K. Tong, C. Georgiou, and M. Chen, "Gain equalization in metropolitan and wide area optical networks using optical amplifiers," Proceedings IEEE INFOCOM ’94 1, 130 - 137 (1994).</jrn>
• B. Ramamurthy, J. Iness, and B. Mukherjee, "Optimizing amplifier placements in a multiwavelength optical LAN/MAN: the unequally powered wavelengths case," IEEE/ACM Transactions on Networking 6, 755 - 767 (1998). [CrossRef]
• A. Fumagalli, G. Balestra, and L. Valcarenghi, "Optimal amplifier placement in multi-wavelength optical networks based on simulated annealing," Proceedings of the SPIE - The International Society for Optical Engineering 3531, 268 - 279 (1998).
• L. Zhong and B. Ramamurthy, "Optimization of amplifier placements in switch-based optical networks," ICC 2001. IEEE International Conference on Communications 1, 224 - 228 (2001).
• P. Saengudomlert, E. Modiano, and R. Gallager, "On-line routing and wavelength assignment for dynamic traffic in WDM ring and torus networks," IEEE/ACM Transactions on Networking 14, 330 - 340 (2006). [CrossRef]
• G. P. Agrawal, Fiber-Optic Communication Systems, 3rd ed. (Wiley-Interscience, New York, 2002). [CrossRef]
• R. Fourer, D. M. Gay, and B. W. Kernighan, AMPL: A Modeling Language for Mathematical Programming, 2nd ed. (Duxbury Press, Toronto, 2003).
• "MINLP solver on NEOS server," URL http://neos.mcs.anl.gov/neos/solvers/minco:MINLP/AMPL.html.
• "User Manual for MINLP," URL http://www.maths.dundee.ac.uk/˜ sleyffer/MINLP manual.ps.Z.
• "MINTO solver on NEOS server," URL http://neos.mcs.anl.gov/neos/solvers/milp:MINTO/AMPL.html.

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