Attachment 1:
Name: _________________________________ Date: __________________
Instructions:
1. The case study is OPEN SOURCE; you may use any source of information available.
2. There is no standard format for the final document but make sure you treat this case study as a professional technical report.
3. Make sure to include any analysis, tables, spreadsheets as part of your report.
4. Make sure to provide any reference when you cite work performed and/or published by others.
5. Include this first page as the second page of your report (after the front page) with your name, date, and signature.
Evaluation Rubric:
Criterion Wt (%) Level of Achievement
Novice Competent Proficient
Content and Context 70% 50%: Two or more required elements of the question missing or not fully addressed. 75%: One required element of question missing or not fully addressed. 100%: All required elements of question addressed fully and clearly.
Organization 20% 50%: Answers not clearly organized; contains several logical errors. 75%: Answers organized but may contain one minor logical argument error. 100%: Answer clearly organized and contains no logical argument errors.
Grammar 10% 50%: Major grammar or spelling errors or contains significant grammar errors. 75%: Multiple minor grammar or spelling errors. 100%: 5 or fewer grammar or spelling errors.
The Washington Metropolitan Area Transit Authority (WMATA) is the transportation infrastructure serving the DMV area providing rapid transit, fixed-route bus, and paratransit services. WMATA has hired you to identify opportunities to optimize the transportation assets operation and maintenance activities and assigned you two (2) specific task orders.
Task Order #1: Inventory policy optimization for bus and paratransit services maintenance activities.
I. Vehicle’s Fleets Information
WMATA has the following preventive maintenance (PM) schedule:
Fixed-route buses fleet
Fleet model Units Oil per service
(gallons) Service frequency Standard time per service
(hrs.) Cost per service
(USD)
(L+M+OH)
Model-A 100 12 Monthly 1.5 $125
Model-B 85 10 Bi-monthly 2 $100
Model-C 50 18 Monthly 1 $105
Paratransit buses fleet
Fleet model Units Oil per service
(gallons) Service frequency Standard time per service
(hrs.) Cost per service
(USD)
(L+M+OH)
Model-A 50 5 Bi-monthly 1 $25
Model-B 50 5 Bi-monthly 0.75 $18
II. Support Facilities Information
1. Maintenance Facilities
• WMATA’s maintenance facilities has capacity to serve 50 units per day.
2. Supply Chain Process and Warehouse Facilities Information
• WMATA’s has allocated space in the warehouse to store 1-month worth of inventory.
• WMATA buys the oil in bulk at $3 per gallon discounted to $2.75 per gallon if the order quantity is more than 3000 gallons.
• WMATA has a storage cost of $0.025 per gallon per day.
• The transactional cost (i.e., placing the order) is $75 per order and 3-day lead time. WMATA wants to explore shorter lead time.
III. Analysis outcome:
• Determine the optimal inventory policy
• Submit recommendations to WMATA o Document and present underlying assumptions (if any) used to conduct your analysis and to present your recommendations.
Task Order #2: Overhaul and Inspection Processes Cost Reduction
WMATA has three (3) main rail yards in three jurisdictions, DC, MD and VA, where specialized overhaul is performed to the train cars. After the overhaul, the train cars need to go to one of the two (2) inspection centers in MD or VA where train cars must go for detailed inspection before they are in service again. The quarterly capacities for the rail yards are 120, 150, and 120, and the demands at the two inspection centers are 230 and 140 train cars.
Table 1. Mileage Chart
MD VA
10 20
5 15
12 8
DC
MD
VA
Table 2. Transportation
Car Cost per
MD VA
DC $800 $1,000
MD $500 $1,250
VA $550 $600
Analysis outcome:
• Represent the process in a diagrammatic for using the transportation model with nodes and arcs.
• Represent the process using linear programming (LP), including the objective function and constraints.
• Present the optimal solution to WMATA.
• Document and present underlying assumptions (if any) used to conduct your analysis and to present your recommendations.