The Heartland Distribution Company is a food warehouse and distributor that has a contract with a grocery store chain in several Midwest and Southeast cities. The company wants to construct new warehouses/distribution centers in some of the cities it services to serve the stores in those cities plus all the other stores in the other cities that don’t have distribution centers. A distribution center can effectively service all stores within a 300-mile radius. The company also wants to limit its fixed annual costs to under $1,200,000. The company wants to build the minimum number of distribution centers possible. The following table shows the cities within 300 miles of every city and the projected fixed annual charge for a distribution center in each city. City Annual fixed charge ($1ks) Cities within 300 miles 1. Atlanta 270 1, 2, 7 2. Charlotte 250 1, 2, 9 3. Cincinnati 410 3, 4, 5, 6, 7, 8 4. Cleveland 410 3, 4, 5, 8 5. Indianapolis 280 3, 4, 5, 6, 7, 10 6. Louisville 360 3, 5, 6, 7, 10 7. Nashville 290 1, 3, 5, 6, 7, 10 8. Pittsburgh 330 3, 4, 8, 9 9. Richmond 380 2, 8, 9 10. St. Louis 295 5, 6, 7, 10 (a) Formulate an integer programming model for this problem
Critical Path Method
The critical path is the longest succession of tasks that has to be successfully completed to conclude a project entirely. The tasks involved in the sequence are called critical activities, as any task getting delayed will result in the whole project getting delayed. To determine the time duration of a project, the critical path has to be identified. The critical path method or CPM is used by project managers to evaluate the least amount of time required to finish each task with the least amount of delay.
Cost Analysis
The entire idea of cost of production or definition of production cost is applied corresponding or we can say that it is related to investment or money cost. Money cost or investment refers to any money expenditure which the firm or supplier or producer undertakes in purchasing or hiring factor of production or factor services.
Inventory Management
Inventory management is the process or system of handling all the goods that an organization owns. In simpler terms, inventory management deals with how a company orders, stores, and uses its goods.
Project Management
Project Management is all about management and optimum utilization of the resources in the best possible manner to develop the software as per the requirement of the client. Here the Project refers to the development of software to meet the end objective of the client by providing the required product or service within a specified Period of time and ensuring high quality. This can be done by managing all the available resources. In short, it can be defined as an application of knowledge, skills, tools, and techniques to meet the objective of the Project. It is the duty of a Project Manager to achieve the objective of the Project as per the specifications given by the client.
The Heartland Distribution Company is a food warehouse and distributor that has a contract
with a grocery store chain in several Midwest and Southeast cities. The company wants to
construct new warehouses/distribution centers in some of the cities it services to serve the
stores in those cities plus all the other stores in the other cities that don’t have distribution
centers. A distribution center can effectively service all stores within a 300-mile radius. The
company also wants to limit its fixed annual costs to under $1,200,000. The company wants to
build the minimum number of distribution centers possible. The following table shows the
cities within 300 miles of every city and the projected fixed annual charge for a distribution
center in each city.
City Annual fixed charge ($1ks) Cities within 300 miles
1. Atlanta 270 1, 2, 7
2. Charlotte 250 1, 2, 9
3. Cincinnati 410 3, 4, 5, 6, 7, 8
4. Cleveland 410 3, 4, 5, 8
5. Indianapolis 280 3, 4, 5, 6, 7, 10
6. Louisville 360 3, 5, 6, 7, 10
7. Nashville 290 1, 3, 5, 6, 7, 10
8. Pittsburgh 330 3, 4, 8, 9
9. Richmond 380 2, 8, 9
10. St. Louis 295 5, 6, 7, 10
(a) Formulate an integer programming model for this problem
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