1. Determine the process times (in seconds per unit) for each of the activities. 

2. Identify the bottleneck stage and determine the processing capacity.

3. If the expected amount of customers (demand) arrive per hour on average, what is the inter-arrival time and system cycle time in seconds)? 

4. What is the total time spent working a unit?

(a) 90 seconds per unit 

(b) 160 seconds per unit 

(c) 120 seconds per unit 

(d) 372 seconds per unit 

5. If the expected amount of customers (demand) arrive per hour on average, what are the throughput units of the process (system)? 

6. Maintain A1 =. What is the work-in-process buildup between workstations one and two at the end of an 8-hour workday? 

7. What are the throughput units for workstation two?

(a) 20 units per hour 

(b) 30 units per hour

(c) 40 units per hour 

(d) 50 units per hour 

8. Which of the following is false regarding the service process? 

(a) there is starving between workstations two and three 

(b) adding an additional worker to any workstation will decrease the processing time per unit 

(c) splitting the bottleneck stage (workstation) will decrease the system cycle time 

(d) starving implies that WIP = 0 while bottleneck implies WIP >0 

9. Suppose we added a server to the bottleneck stage (from question five) to the process. Which of the following is false?

(a) the system capacity is now 40 units per hour 

(b) there is now a bottleneck between workstations one and two 

(c) the throughput units of the system are now 40 units per hour (d) there is now WIP = 0 between workstations one and two 3 

10. Maintain A: =. What is the throughput time in seconds) of the 87th unit? 

11. Maintain 13 = #. What is the queue time (in seconds) of the 87th unit? 

12. Maintain = #. When will unit 87 be finished (in seconds)? Recall from a class that we initially determined throughput time to be simply the difference between ending time and starting time. Calculate the starting time in seconds) for the 87th unit and check your answer to question thirteen. 

13. Suppose that we split (add a server too) workstation four. What are the new throughput units of the system?

(b) 40 units per hour 

(c) 50 units per hour 

(d) 80 units per hour  
 

 

A diagram of a face-to-face service process is given below. There are four workstations (called "operations"), each performing a different task with a single server at each. The expected demand is A = 25 units per hour. Waiting roomy Clerk A OP1 30 atomers howe WIP Clerk B OP 1 30 astoners bour WIP Clerk C OP! 40 atomers/ hour WIP Click D OP 40 me bour