Amtrak Train is one of the biggest Rail companies in the United States and managed by the U.S government. However, the company records yearly net income loss despite the yearly grants that the company enjoys from the federal government. This project attempts to solve the problem facing Amtrak Rail. The project formulates the problems facing Amtrak Rail using mathematical model such as linear programming and integer programming. The results of the mathematical models have been able to provide optimal solutions to the Amtrak Rail problems. The optimal solutions reveal that Amtrak management needs to integrate operation research model into the planning to save millions of dollars from the costs of operations and thereby enjoy profitability at the end of the fiscal year.
¶ … Consumption Problem
Selection of a planning horizon: time period
Selection of a geographical focus: location
Motivation
Reasons others are interested in the project
Formulation of the Problem
Discussion of the Variables used in the Project
Controllable Decision Variables
Uncontrollable Non-Decision Variables
Discussion of all Restriction on Variables
Constraints
Structure of the Model: Formulation of the Problem into an Engineering Systems Model
Identify Input Requirements:
Data sets
Representation of mathematical relationships among variables in the:
Objective function
Constraints
Clarifications of outputs and potential values of the projects
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