Telecommunication access network design with reliability constraints

In this paper, we study the problem of the design of telecommunication access networks with reliability constraints. These networks form an important part of the telecommunications infrastructure of large organizations, such as banks. Using data patterned after an actual bank network in the U.S., we formulate an optimization model for this problem which specifically takes into account the various cost, and discount structures offered by telecommunication carriers. We then develop dedicated solution procedures for obtaining solutions. Starting from a cluster solution, we then use perturbation techniques which we developed specifically for this problem within an overall simulated annealing solution algorithm. We show how to make the solution procedure more efficient by implicitly determining the values for many variables. We then report the results of our computational testing for a variety of problems. We compare our solution to a lower bound obtained using a linear programming relaxation. We show that substantial cost savings can be realized with our model, and solution procedure. Finally, we discuss which types of annealing steps in the simulated annealing algorithm are important.

[1]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[2]  Hasan Pirkul,et al.  Hierarchical concentrator location problem , 1992, Comput. Commun..

[3]  Hasan Pirkul,et al.  Locating concentrators for primary and secondary coverage in a computer communications network , 1988, IEEE Trans. Commun..

[4]  Joakim Kalvenes,et al.  Topology design and bridge-capacity assignment for interconnecting token ring LANs: A simulated annealing approach , 1996, Telecommun. Syst..

[5]  Hasan Pirkul,et al.  Heuristics with Constant Error Guarantees for the Multi Center Capacitated Minimum Spanning Tree Problem , 1992 .

[6]  Luís Gouveia,et al.  A 2n Constraint Formulation for the Capacitated Minimal Spanning Tree Problem , 1995, Oper. Res..

[7]  Bezalel Gavish,et al.  Topological design of centralized computer networks - formulations and algorithms , 1982, Networks.

[8]  Hasan Pirkul,et al.  Locating concentrators in centralized computer networks , 1992, Ann. Oper. Res..

[9]  Aaron Kershenbaum,et al.  Computing capacitated minimal spanning trees efficiently , 1974, Networks.

[10]  P. McGregor,et al.  Network Design: An Algorithm for the Access Facility Location Problem , 1977, IEEE Trans. Commun..

[11]  Scott Kirkpatrick,et al.  Optimization by Simmulated Annealing , 1983, Sci..

[12]  Vaidyanathan Nagarajan Topological design of centralized computer networks , 1991 .

[13]  Luís Gouveia,et al.  Using generalized capacitated trees for designing the topology of local access networks , 1997, Telecommun. Syst..

[14]  Amitava Dutta,et al.  Design of partially survivable networks for cellular telecommunication systems , 1999, Eur. J. Oper. Res..

[15]  G. Michael Schneider,et al.  An Algorithm for the Design of Multilevel Concentrator Networks , 1982, Comput. Networks.

[16]  J. G. Klincewicz,et al.  HUB LOCATION IN BACKBONE/TRIBUTARY NETWORK DESIGN: A REVIEW , 1998 .

[17]  Peter Kubat,et al.  Design of cellular networks with diversity and capacity constraints , 2000, IEEE Trans. Reliab..

[18]  Choong Y. Lee An Algorithm for the Design of Multitype Concentrator Networks , 1993 .

[19]  Bezalel Gavish,et al.  Topological design of telecommunication networks-local access design methods , 1991, Ann. Oper. Res..