Abstract

This paper proposes a method to solve the joint optimization of test node selection and fiber thread connection. The problem is modeled as an integer linear programming problem with two classes of decision variables. The first class of decision variables are composed of the number of parallel fiber threads throughout each potential testing route, the other class of decision variables are imposed just to denote whether a node is decided as a location to place testing equipment. The objective of the joint optimization is to minimize the number of nodes where fiber test equipment based on the optical time domain reflectometer are planned to locate. The objective function is just the sum of the second class of decision variables. Two types of linear constraints are needed. The first type of constraints describes the mutual relation between the two classes of variables, and the other type of constraints are formed to depict the impact of the number of fiber threads mounted within each fiber link on the first class of decision variables. Multiple examples are given to exhibit the advantage of joint optimization over heuristic method.

Highlights

  • Fibers have been widely used in backbones of communication networks for many years throughout the world

  • The number of potential testing routes K j originated from node j depends on many factors such as the network topology, the maximum reachable testing length rmax of the equipment and whether loops are permitted in a potential testing route, etc

  • The motivation of the joint optimization of test node selection and fiber thread connection is to minimize the number of sites selected for equipment placement

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Summary

INTRODUCTION

Fibers have been widely used in backbones of communication networks for many years throughout the world. C. Amaral, et al proposed a method to locate multiple faults along a fiber link by using low frequency sub-carrier tone sweep with a signal processing algorithm based on the least absolute shrinkage and selection operator (LASSO)[7]. Profound comparisons with a heuristic method which was proposed as an early version to find approximate solutions for joint optimization of test node selection and fiber thread connection are presented. These endeavors are the main contributions of this paper.

DEFINITION OF SYMBOLS USED IN THE JOINT OPTIMIZATION PROBLEM
DECISION VARIABLES
OBJECTIVE FUNCTION
THE CONSTRAINTS
ALGORITHMS AND NUMERICAL EXAMPLES
ENUMERATION OF ROUTES
ADVANTAGES OF JOINT OPTIMIZATION
CONCLUSION
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