Batch Size given Average Production Time Calculator

✖Time to Change One Tool is the measure of time it takes to change one tool during machining.ⓘ Time to Change One Tool [t_c]			+10% -10%
✖The Number of Tools Used is the total number of tools used for manufacturing a batch of products.ⓘ Number of Tools Used [N_t]			+10% -10%
✖Average Production Time is the time taken to produce a single component out of a lot of produced batches.ⓘ Average Production Time [t_p]			+10% -10%
✖Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.ⓘ Setup Time [t_s]			+10% -10%
✖Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.ⓘ Machining Time [t_m]			+10% -10%

✖Batch Size is the count of similar kinds of products to be manufactured.ⓘ Batch Size given Average Production Time [N_b]

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Formula

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Batch Size given Average Production Time

Formula

`"N"_{"b"} = "t"_{"c"}*"N"_{"t"}/("t"_{"p"}-("t"_{"s"}+"t"_{"m"}))`

Example

`"1.778656"="5min"*"3"/("10.1min"-("0.9min"+"46s"))`

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Batch Size given Average Production Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Batch Size = Time to Change One Tool*Number of Tools Used/(Average Production Time-(Setup Time+Machining Time))
N_b = t_c*N_t/(t_p-(t_s+t_m))
This formula uses 6 Variables

Variables Used

Batch Size - Batch Size is the count of similar kinds of products to be manufactured.
Time to Change One Tool - (Measured in Second) - Time to Change One Tool is the measure of time it takes to change one tool during machining.
Number of Tools Used - The Number of Tools Used is the total number of tools used for manufacturing a batch of products.
Average Production Time - (Measured in Second) - Average Production Time is the time taken to produce a single component out of a lot of produced batches.
Setup Time - (Measured in Second) - Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component.
Machining Time - (Measured in Second) - Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.

STEP 1: Convert Input(s) to Base Unit

Time to Change One Tool: 5 Minute --> 300 Second (Check conversion here)
Number of Tools Used: 3 --> No Conversion Required
Average Production Time: 10.1 Minute --> 606 Second (Check conversion here)
Setup Time: 0.9 Minute --> 54 Second (Check conversion here)
Machining Time: 46 Second --> 46 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_b = t_c*N_t/(t_p-(t_s+t_m)) --> 300*3/(606-(54+46))

Evaluating ... ...

N_b = 1.77865612648221

STEP 3: Convert Result to Output's Unit

1.77865612648221 --> No Conversion Required

FINAL ANSWER

1.77865612648221 ≈ 1.778656 <-- Batch Size

(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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National Institute of Technology (NIT), Srinagar

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< 5 Average Production Time Calculators

Non-Productive Time for Each Component given Average Production Time

Go Setup Time = Average Production Time-(Machining Time+(Number of Tools Used*Time to Change One Tool/Batch Size))

Time for changing one Tool given Average Production Time

Go Time to Change One Tool = (Average Production Time-(Setup Time+Machining Time))*Batch Size/Number of Tools Used

Batch Size given Average Production Time

Go Batch Size = Time to Change One Tool*Number of Tools Used/(Average Production Time-(Setup Time+Machining Time))

Machining Time of Each Component given Average Production Time

Go Machining Time = Average Production Time-Setup Time-(Number of Tools Used*Time to Change One Tool/Batch Size)

Average Production Time of Each Component

Go Average Production Time = Setup Time+Machining Time+(Number of Tools Used*Time to Change One Tool/Batch Size)

Batch Size given Average Production Time Formula

Batch Size = Time to Change One Tool*Number of Tools Used/(Average Production Time-(Setup Time+Machining Time))
N_b = t_c*N_t/(t_p-(t_s+t_m))

Average Production Cost of each component

The Average Production Cost of each component is usually determined by taking an average over a defined batch of products. The reason for this is the extended costs such as the cost of tools and operating costs etc. This makes the Average Production Cost becomes quite higher for a single product than when measured over batch size.

How to Calculate Batch Size given Average Production Time?

Batch Size given Average Production Time calculator uses Batch Size = Time to Change One Tool*Number of Tools Used/(Average Production Time-(Setup Time+Machining Time)) to calculate the Batch Size, The Batch Size given Average Production Time is a method to determine the maximum number of products that can be manufactured in a batch when the time it took to produce is limited. Batch Size is denoted by N_b symbol.

How to calculate Batch Size given Average Production Time using this online calculator? To use this online calculator for Batch Size given Average Production Time, enter Time to Change One Tool (t_c), Number of Tools Used (N_t), Average Production Time (t_p), Setup Time (t_s) & Machining Time (t_m) and hit the calculate button. Here is how the Batch Size given Average Production Time calculation can be explained with given input values -> 1.778656 = 300*3/(606-(54+46)).

FAQ

What is Batch Size given Average Production Time?

The Batch Size given Average Production Time is a method to determine the maximum number of products that can be manufactured in a batch when the time it took to produce is limited and is represented as N_b = t_c*N_t/(t_p-(t_s+t_m)) or Batch Size = Time to Change One Tool*Number of Tools Used/(Average Production Time-(Setup Time+Machining Time)). Time to Change One Tool is the measure of time it takes to change one tool during machining, The Number of Tools Used is the total number of tools used for manufacturing a batch of products, Average Production Time is the time taken to produce a single component out of a lot of produced batches, Setup Time of each component is the time required to load/unload the workpiece and position the tool for production for one component & Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.

How to calculate Batch Size given Average Production Time?

The Batch Size given Average Production Time is a method to determine the maximum number of products that can be manufactured in a batch when the time it took to produce is limited is calculated using Batch Size = Time to Change One Tool*Number of Tools Used/(Average Production Time-(Setup Time+Machining Time)). To calculate Batch Size given Average Production Time, you need Time to Change One Tool (t_c), Number of Tools Used (N_t), Average Production Time (t_p), Setup Time (t_s) & Machining Time (t_m). With our tool, you need to enter the respective value for Time to Change One Tool, Number of Tools Used, Average Production Time, Setup Time & Machining Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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