Bottleneck + Math

Focuses on the math portion of BCOR 2206 (First exam)

What is Cycle time?

Average time for completion of a unit

What is Capacity and it’s formula?

Average number if units processed over a time interval.

For finding how many units is produced in one hour, use the following formula…(60 / cycle time).

What is Process Capacity?

Capacity of the stage with the longest cycle time

What is the PROCESS CAPACITY for the image above?

2 Units/Hr

What is Process Cycle Time?

Longest cycle time amongst all stages

What is the PROCESS CYCLE TIME for the image above?

30 Mins/Unit

What is Bottleneck?

Stage with the lowest capacity or the Stage with the longset cycle timeW

What is the BOTTLENECK from the image above?

C is the bottleneck!

Find the;

Process Capacity

Process Cycle Time

Bottleneck

1) 3 Units per hour

2) 20 minutes per unit

3) Bottleneck is C

Find the;

Process Capacity

Process Cycle Time

Bottleneck

1) 1.5 Units per hour

2) 40 minutes per hour

3) Bottleneck is B

What is the Cycle time and Capacity?

Cycle time: 12 minutes

Capacity: 5 Units per hour

(60minutes/12minutes = 5 units per hour)

What is the formula for Utilization of a stage?

Utilization of a stage = Capacity of the process / Capacity of the stage

What is the Utlization of each stage?

Process Capacity = 2 units per hour

A) 2/3 = 66.67%

B) 2/5 = 40%

C) 2/2 = 100%

What is the Utilization of each stage?

Process Capacity = 3 units per hour

A) 3/4 = 75%

B) 3/10 = 30%

C) 3/3 = 100%

Minimum Throughput Flow Time is…

The total time it takes for a system to process one unit. Start to finish.

Solve the questions on the image above

The arrival rate is 15 customers per hour and the service rate is 20 customers per hour. What is the server utilization for this system?

p = 75% or .75