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For this assignment, you will implement a program that uses a Constraint Satisfaction Problem (CSP) formulation to find possible degree plans for students in the M.S. in Data Science program at Lewis University. A degree plan is a mapping of academic terms to courses, ensuring that all constraints are satisfied. Your goal is to determine the total number of possible degree plans within a specified timeframe and generate one valid plan, adhering to specified rules such as prerequisites, course availability, and the inclusion of core, foundation, elective, and capstone courses.

Paper For Above instruction

The process of academic planning involves complex decision-making to ensure students meet program requirements within a designated timeframe. In this context, formulating the problem as a Constraint Satisfaction Problem (CSP) offers an effective approach for automating the generation and evaluation of degree plans. This paper discusses the methodology, constraints, implementation, and implications of using CSP for course planning in a graduate program, specifically the Master of Science in Data Science at Lewis University.

Introduction

Academic planning is a crucial aspect of educational administration and student success. It requires balancing curriculum requirements, prerequisite structures, course availabilities, and scheduling constraints. Traditionally, students and advisors manually compute feasible paths through course sequences, which can be error-prone and inefficient. The application of CSP offers a systematic way to explore all feasible options and streamline degree planning, especially in complex curricula with multiple prerequisites and elective choices.

Formulating the Problem as a CSP

The CSP approach models each academic term as a variable, with the domain being the set of available courses during that term. The constraints representing the course prerequisites, course availability, core and foundation requirements, electives, and maximum terms are expressed logically and enforced programmatically. Using the python-constraint package, the implementation encapsulates these constraints, enabling the solver to identify all valid plans and select specific samples for output.

Defining the Variables and Domains

The model assigns each term within the specified planning window to a variable. For example, the terms from Year 1 Fall 1 to Year 3 Fall 2 are labeled sequentially, with their domains derived from the course list and their availability per term. Courses may be classified as foundation, core, elective, or capstone, each with specific inclusion constraints.

Constraints and Rules

  • One course per term: Each variable (term) can take only one course, enforcing the rule of single course per term.
  • Prerequisites: Courses with prerequisites must be scheduled after their prerequisites are completed in previous terms.
  • Mandatory courses: All foundation and core courses must be included in the plan.
  • Electives: The student must select exactly three out of eight elective courses, with others marked as not taken.
  • Course availability: Courses can only be scheduled in terms when they are available.
  • Skipping terms: Some terms may be omitted as long as the overall timeline is respected, concluding by Year 3 Fall 2.

Implementation Details

The implementation begins by parsing the Excel file using pandas, extracting course information and prerequisites. The constraints are modeled using the python-constraint package, defining variables for each term and setting allowable course options as per the availability matrix. Prerequisite constraints are implemented by ensuring that a course is scheduled only after its prerequisites are completed in earlier terms. The code searches for all solutions to count the total number of valid degree plans and selects one plan to display, following the prescribed format.

Output and Results

The program outputs the total number of feasible degree plans given the constraints and provides a detailed plan for one such solution. Courses marked as not taken are explicitly labeled, and the schedule aligns with all prerequisites and curricular requirements. This demonstrates the software's capability to handle complex scheduling and constraint satisfaction problems in academic planning.

Discussion and Significance

This approach provides numerous advantages, including automating degree plan generation, ensuring compliance with curricular rules, and enabling scenario analysis for academic advisors and students. Potential improvements include incorporating course load constraints, considering student preferences, and extending the model to include part-time options or alternative pathways.

Conclusion

Leveraging CSPs for academic course planning significantly enhances efficiency and reliability, especially in structured programs with many interdependencies. The implementation described exemplifies how open-source tools like python-constraint, combined with data parsing via pandas, can serve as powerful solutions for educational planning challenges. Future developments may expand the model's complexity to accommodate broader academic policies and personalized student needs.

References

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