1. Homework Assignment Simulation Modeling The Cobbler Problem MGMT E - 5065 Operations and Logistics Management Due September 25 th

2. The Cobbler Simulation A cobbler specializes in same-day shoe repair. Customers drop off their shoes before 9:00 am and expect them to be ready for pickup by 5:00 pm. There is a risk however, that the work needed on a pair of shoes cannot be done that day, depending on the type of repair that is required. A simulation spreadsheet was developed to reflect the number of shoes dropped off each morning: Number of Pairs ProbabilityRN Intervals 10.1000 - 09 15.2510 - 34 20.3035 - 64 25.2565 - 89 30.1090 - 99

3. The Cobbler Simulation Currently, the maximum number of pairs of shoes that can be mended per day is: Number of Pairs ProbabilityRN Intervals 15.3000 - 29 20.4030 - 69 25.3070 - 99

4. The Cobbler Simulation In the simulation for a specific day, the number of pairs of shoes needing repair ( NPSNR ) is determined first. Next, the maximum number of pairs of shoes that could be repaired ( MNPSR ) is determined. If MNPSR => NPSNR, all pairs of shoes are mended for that day. If MNPSR < NPSNR, then [ NPSNR - MNPSR ] pairs of shoes must be added to the number of pairs of shoes arriving the next day in order to obtain the NPSNR for the next day. The simulation continues in this manner.

5. The Cobbler Simulation REQUIREMENT: 1.Assuming the repair shop is empty of shoes at the start, simulate seven (7) days of operation, using the following random number strings: Dropoffs53580483652749 Capacity83448212085377

6. The Cobbler Simulation REQUIREMENT: 2. Determine the average daily number of pairs held overnight. 3. Determine the average maximum repair capacity per day. 4. Determine the average daily number of pairs actually mended.

7. The Cobbler Simulation Day Random Number New Dropoffs Queue At Day Start NPSNR Random NumberMNPSR Actual Pairs Mended Queue At Day End 1 2 3 4 5 6 7 Spreadsheet Format