R MILP/LP Electricity Cost Report -- 2

My college assignment asks for a complete optimisation study on an electricity-generation portfolio. The core task XXXX XXXX formulate a Mixed-Integer Linear Programming model that minimises production costs, then create its LP relaxation to analyse the bound difference. Everything must be implemented in R and run with both HiGHS and GLPK solvers.

You will receive a clean CSV file containing plant capacities, fuel costs, demand by time period and emission caps. Please import it directly; no data wrangling beyond basic checks is needed. The focus is to:

• write transparent, well-commented R code (ompr, ROI.plugin.highs / ROI.plugin.glpk or any equivalent interface) that builds, solves and exports results for both MILP and LP cases; • capture solver statistics—objective value, run-time, integrality gap, node counts—and benchmark HiGHS against GLPK; • visualise key outputs (merit-order dispatch, cost breakdown, dual bounds) in ggplot2; • interpret findings in a concise, academically-styled report (≈10–12 pages) that covers model formulation, relaxation theory, data description, computational results and a short conclusion.

Deliverables

1. R scripts (or RMarkdown notebook) that run end-to-end on my dataset.
2. PDF report ready for submission, including figures and tables generated from the code.
3. A brief README with setup instructions and package versions to ensure reproducibility.

Acceptance criteria: code executes without error on R ≥4.2; both solvers return feasible solutions; report clearly compares MILP vs LP bounds and HiGHS vs GLPK performance.

Timeline is flexible within the next week, but earlier is appreciated so I can review before submission. Budget: INR 600–1500 Skills: Statistics, Report Writing, R Programming Language, Statistical Analysis, SPSS Statistics, Academic Writing, Data Visualization, Data Analysis