Problems 4-1 through 4-3 (Ungraded) 4-1 Resource leveling problem The following data were obtained from a project to build a pressure vessel: Activity Duration Predecessors Resources/Cost | A 4 weeks -- 1 Cutting Platform/$800 day. | B 4 weeks -- 1 Sand Blast Machine/$1,000 day. | C 3 weeks B 1 Rolling Mill/$750 day. | D 2 weeks A,C 1 Automatic Welder/$1,000 day. | E 3 weeks B 1 Rolling Mill/$750 day. | F 5 weeks D,E 1 Sand Blast Machine/$1,000 day. | The fabricator has only one machine of each type available at the above costs, and operations cannot be split (i.e. once started, the task must finish). Additional equipment can be rented at a 75% cost premium if needed. Hint: A premium implies you pay an amount above and beyond the current amount. a. Identify any resource conflicts in the above project. State the activities involved, the time frame of the conflict(s), the resources in conflict and the quantity of resource involved. Hint: The key to this problem is the layout you choose for the project. To identify resource conflicts, the schedule will have to include a timescale. b. What is the least cost method of resolving the conflict(s), assuming the project duration must not be extended? What additional cost, if any, will be incurred? Hint: The Project Manager may have to be creative here to propose the optimal solution. Check answer:
There is a 3 day conflict and there is extra cost involved in resolving. Answer: a. Conflict exists during weeks 5, 6, & 7. Both activities C & E require the Rolling Mill; only one Rolling Mill is available. b. Delay Activity E two weeks using