Supply Chain Heuristic Model Verification

I have drafted a mathematical model for a supply-chain problem and developed several heuristic rules meant to select the best transport mode, packaging configuration, and spoilage-mitigation tactics. The scope is squarely within supply chain management, and I now want a fresh, expert set of eyes—ideally someone with a strong operations-research background—to confirm that my formulation is sound and to refine or correct it where needed.

The current model couples inventory and transportation decisions, restricting shipments to road and rail at this stage, though I am open to suggestions about integrating additional modes if you see clear value. Key decision variables already cover routing frequencies, package size choices, and expected spoilage percentages; what I need is confirmation that the constraints are tight, the objective function is correctly structured, and the heuristics I’ve sketched actually drive the solution toward optimal or near-optimal outcomes.

Please be comfortable with linear and mixed-integer programming, common heuristic techniques (e.g., genetic algorithms, or your preferred meta-heuristic), and solvers such as CPLEX, Gurobi, or open-source alternatives. A concise technical write-up explaining any revisions, along with commented model files or notebooks, will be the main deliverables. If you spot modeling gaps, propose concrete fixes and assist in fixing it; if the existing structure is solid, a brief validation note is enough.

I’m ready to provide all current equations, data sets, and heuristic pseudocode the moment we start.