Assignment Task
Task
Recycling is an important and complex activity in Country A. To enable timely operations, the country is divided into 10 sectors and recycling operations are commenced simultaneously in each sector. The recyclable garbage is collected from public bins, loaded into trucks, and transported to recycling sites. Each site can accommodate different amounts of recyclable garbage because of its available land size at the facility It will cost approximately $115,989 to move one megatonne of recycling garbage for one kilometre. The management would like to maximise the amount of recycled garbage and minimise the transportation cost.
a. Formulate a multiple-objective linear programming (MOLP) model for this problem in a Word file with a brief description of an equation, and implement it in an Excel spreadsheet.
b. Determine the optimal value for each objective in the problem.
c. Suppose the management considers maximising the amount of recycled garbage to be two times as important as minimising the transportation cost. Formulate a GP model to optimise both objectives simultaneously with a brief description of an equation in a Word file, and implement the MOLP model in an Excel spreadsheet. What do the results suggest?
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a. Report’s title
b. Names and student IDs.
2. Problem formulation (please ensure that all mathematical symbols are correct and consistent).
a. Define decision variables with a measurement unit (e.g. pallets, kg, or km)
b. Provide an objective function and constraints and clearly show how you formulate them with an explanation what each equation means
c. Ensure that decision variables and each equation are linked back to the data
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