Application ofthe Management Science Techniques.

Proper production planning is a key condition to a production system success, which considers the real-world resource limitations such as budget, time and labour amongst others. This assignment is undertaken to develop a special form of linear programming model and apply sensitivity analysisto optimise the completion of a project whilst maintaining a balanced workload among its managers. The goal considered is to minimise project intensity and cost.

The intensity function quantifies a manager's effort by assigning relative (dimensionless) values to the projects, based on a project's Rand Value and the time required for the manager to drive to a project. The model includes constraints that balance the workload given to each manager. One set of constraints limits each manager's total intensity to a maximum amount within a specific time. Another set of constraints ensures fairness by specifying that each manager's total intensity must be at least a specified amount. A final set of constraints ensures that each project has exactly one manager assigned to it.

There are several kinds of linear-programming models that exhibit a special structure that can be exploited in the construction of efficient algorithms for solutions to companys problems.

REQUIRED:

Develop an efficient solution through application of linear programming, sensitivity analysis, transportation model and network flow the to problem to determine the optimal assignment solution to be implemented.

Application ofthe Management Science Techniques.

Proper production planning is a key condition to a production system success, which considers the real-world resource limitations such as budget, time and labour amongst others. This assignment is undertaken to develop a special form of linear programming model and apply sensitivity analysisto optimise the completion of a project whilst maintaining a balanced workload among its managers. The goal considered is to minimise project intensity and cost.

The intensity function quantifies a manager's effort by assigning relative (dimensionless) values to the projects, based on a project's Rand Value and the time required for the manager to drive to a project. The model includes constraints that balance the workload given to each manager. One set of constraints limits each manager's total intensity to a maximum amount within a specific time. Another set of constraints ensures fairness by specifying that each manager's total intensity must be at least a specified amount. A final set of constraints ensures that each project has exactly one manager assigned to it.

There are several kinds of linear-programming models that exhibit a special structure that can be exploited in the construction of efficient algorithms for solutions to companys problems.

REQUIRED:

Develop an efficient solution through application of linear programming, sensitivity analysis, transportation model and network flow the to problem to determine the optimal assignment solution to be implemented.