A chemical manufacturing company is tasked with transporting 190 tonnes of chemical products from four storage depots (D1, D2, D3, and D4) to three recycling centers (C1, C2, and C3).
We assume that recycling centers do not have capacity restrictions. The company aims to transport these products using two available modes of transport: road and rail. The transportation cost per tonne varies depending on the mode of transport and the depotre cycling center route:
Are You Looking for an Answer of This BUSN9970 Assignment
Order Non Plagiarized Assignment
In addition, the contract with the railway company requires that each rail shipment must carry at least 10 tonnes but not exceed 50 tonnes. There are no such constraints for road transport.
Your task as an Operational Research Analyst for the company is to formulate an optimization model that will minimize the total transportation cost while ensuring all 190 tonnes are transported. You should:
a. Draw a network diagram that represents the problem.
b. Write a mathematical formulation for the problem.
i) Define the decision variables clearly.
ii) State the objective function and explain the company’s goal.
iii) Identify the constraints including transport mode capacities, depot storage, and rail shipment requirements.
c. Once the model (mathematical formulation) is formulated, you will implement it in OPL (Optimization Programming Language), solve the problem, and present your results, including the total transportation cost and the transport plan for each route.
Hint: You need to first draw the network of the problem with all possible connections from depots to recycling centers considering alternative modes of transportation (road and rail). In addition to nodes that represent depots and recycling centers, you may consider creating intermediate dummy nodes of “road” and “rail” for each recycling center. These dummy nodes will be connecting to recycling centers and they will be connected from depots based on the descriptions and limitations presented in the problem. Finally, add a dummy demand node(sink node) that each recycling center connects to by artificial arcs. You may also choose to include a dummy source node that connects to the depots via artificial arcs. Each arc in the network is defined by three parameters: minimum flow, maximum flow or capacity, and cost.
Essay Writing Service Features
Our Experience
No matter how complex your assignment is, we can find the right professional for your specific task. Nursing Paper Writing Service | Top-notch Services | High Originality is an essay writing company that hires only the smartest minds to help you with your projects. Our expertise allows us to provide students with high-quality academic writing, editing & proofreading services.
Free Features
Free revision policy
$10Free bibliography & reference
$8Free title page
$8Free formatting
$8How Our Essay Writing Service Works
First, you will need to complete an order form. It's not difficult but, in case there is anything you find not to be clear, you may always call us so that we can guide you through it. On the order form, you will need to include some basic information concerning your order: subject, topic, number of pages, etc. We also encourage our clients to upload any relevant information or sources that will help.
Complete the order form
Once we have all the information and instructions that we need, we select the most suitable writer for your assignment. While everything seems to be clear, the writer, who has complete knowledge of the subject, may need clarification from you. It is at that point that you would receive a call or email from us.
Writer’s assignment
As soon as the writer has finished, it will be delivered both to the website and to your email address so that you will not miss it. If your deadline is close at hand, we will place a call to you to make sure that you receive the paper on time.
Completing the order and download
