Transportation model formulation for optimizing resource allocation across multiple supply and demand points. The model treats production capacity sources and demand destinations as nodes in a network, with unit transportation costs representing per-unit production costs. The optimal solution balances supply-demand matching while minimizing total transportation cost using specialized simplex methods. Table of Contents: - Aggregate planning problem definition and planning horizon - Demand aggregation across products and time periods - Decision variables: production rate, workforce, inventory, backorders - Constraint formulation: demand satisfaction, capacity, inventory balance - Cost components: production, inventory holding, workforce hiring/firing, backordering - Objective function: total cost minimization - Network representation: sources (supply), destinations (demand), edges (routes) - Unit cost assignment and total transportation cost - Balanced transportation problem condition (supply = demand) - Unbalanced problem handling with dummy sources/destinations - Vogel's Approximation Method for initial feasible solution - Optimality check using MODI method (u-v method)
Transportation model formulation for optimizing resource allocation across multiple supply and demand points. The model treats production capacity sources and demand destinations as nodes in a networ…