The chief of police, Karen Stanley, of the Make-Believe Police Department needs to assign five detective squads to five pending criminal cases. Karen wants to come up with an optimum assignment that will minimize the total time it takes to conclude the cases. Data on past performance of each detective squad to complete each case assigned in terms of average number of days is presented in the following table. Average Completion Time (in Days)
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 chief of police, Karen Stanley, of the Make-Believe
Police Department needs to assign five detective squads
to five pending criminal cases. Karen wants to come
up with an optimum assignment that will minimize the
total time it takes to conclude the cases. Data on past
performance of each detective squad to complete each
case assigned in terms of average number of days is
presented in the following table.
Average Completion Time (in Days)
Detective Squad Case-1 Case-2 Case-3 Case-4 Case-5
A 15 8 4 8 28
B 21 8 13 7 32
C 11 4 5 6 20
D 9 12 8 13 20
E 14 24 25 27 9
Use the assignment method to solve the problem
If Squad D cannot be assigned to Case-5 as a result of
a conflict of interest, solve the problem given this new
constraint.
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