Using Nonlinear Programming to Optimize the Fiber Packing Density of Optical Fiber Cables- A Short Problem-Based Learning Course

A need for time-compressed, low credit hour, problem-based courses for upper division students frequently arises. These courses may be used to support universities’ honors program by extending the learning mastery of traditional subjects through experiential learning and challenging the exceptional student. In addition, such courses can facilitate and allow some students to graduate on schedule. Although short, problem-based courses with low enrollment (25 students) do not map conveniently to the traditional teaching schedule of faculty, they can provide a unique opportunity for service both to students and to the university, especially in summer semesters. In addition, the National Academy of Engineering has recognized experiential learning which involves solving openended problems that are complex and ill structured as a critical competency for engineers in the 21 century. This paper describes the design of a special problem course in which we use the case method to teach industrial engineering technology students nonlinear integer programming, while providing a collaborative learning experience in solving a simulated real world problem. The basic problem uses nonlinear integer programming to explore the optimization space for optical fiber ribbon-based cables, which are subject to a variety of practical constraints. Students learn to use the LINGO software package to maximize the fiber packing density for a number of exemplary cable configurations. Students also learn a variety of skills and acquire an intuitive understanding of optimization algorithms. The problem complexity and the scope of the course can be adjusted to serve the needs and abilities of the students. End-of-course deliverables include a formal engineering report and the preparation and presentation of a poster paper. The special problem course provides students with a collaborative learning experience solving an illstructured practical problem and it provides faculty a unique service opportunity.