The maximum allowable cycle time is computed as
Multiple Choice
daily operating time divided by the desired output.
desired output divided by the daily operating time.
daily operating time divided by the product of the desired output and the sum of job times.
The Correct Answer and Explanation is:
Correct Answer: A. Daily operating time divided by the desired output.
Explanation:
In operations management, cycle time refers to the maximum time allowed at each workstation to complete its set of tasks if the production process is to meet the required output within a given period. The maximum allowable cycle time is especially important in assembly line balancing, where it ensures smooth and efficient workflow without bottlenecks.
The formula for maximum allowable cycle time (C) is:
Cycle Time (C) = Daily Operating Time / Desired Output
Understanding the Terms:
- Daily Operating Time: This is the total time available for production in one day. It is usually calculated in minutes or seconds. For example, if a factory operates 8 hours per day: $$
8 \text{ hours} \times 60 \text{ minutes/hour} = 480 \text{ minutes/day}
$$ - Desired Output: This is the number of units the factory wants to produce per day.
Application of the Formula:
Suppose a company wants to produce 240 units per day, and the total available operating time is 480 minutes per day. Using the formula:
$$
\text{Cycle Time} = \frac{480 \text{ minutes}}{240 \text{ units}} = 2 \text{ minutes/unit}
$$
This means that each workstation in the assembly line must complete its task in 2 minutes or less to meet the daily production target.
Why This Formula Matters:
- It ensures output goals are achievable based on available resources.
- It helps in designing efficient workstations to avoid overloading or underutilizing any part of the process.
- It is essential in line balancing, where tasks are assigned to workstations to ensure smooth flow and minimize idle time.