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))
Nb = tc*Nt/(tp-(ts+tm))
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 Minute --> 600 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
Nb = tc*Nt/(tp-(ts+tm)) --> 300*3/(600-(54+46))
Evaluating ... ...
Nb = 1.8
STEP 3: Convert Result to Output's Unit
1.8 --> No Conversion Required
FINAL ANSWER
1.8 <-- Batch Size
(Calculation completed in 00.004 seconds)

Credits

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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22 Economics Of Metal-Cutting Operation Calculators

Total Production Time given Time for Individual Operation and Batch Size
Go Total Production Time = (Batch Size*Setup Time+Batch Size*Machining Time+Number of Tools Used*Time to Change One Tool)
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
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)
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))
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)
Total Production Time
Go Total Production Time = (Total Machining Time+Non-Productive Time+Total Tool Changing Time)
Machining and Operating Rate given Total Machining and Operating Cost
Go Machining and Operating Rate = Total Machining And Operating Cost/Total Production Time
Total Production Time given Total Machining and Operating Cost
Go Total Production Time = Total Machining And Operating Cost/Machining and Operating Rate
Total Machining and Operating Cost
Go Total Machining And Operating Cost = Machining and Operating Rate*Total Production Time
Total Non-Productive Cost
Go Total Production Cost = Non-Productive Time*Machining and Operating Rate
Total Tool-Changing Cost
Go Total Tool Changing Cost = Total Tool Changing Time*Number of Tools Used
Time for Changing one Tool given Total Tool Changing Time
Go Time to Change One Tool = Total Tool Changing Time/Number of Tools Used
Total Tool Changing Time
Go Total Tool Changing Time = Number of Tools Used*Time to Change One Tool
Cost of Tool given Total Cost of Tools
Go Cost of a Tool = Total Cost of Tools Used/Number of Tools Used
Total Cost of Tools Used
Go Total Cost of Tools Used = Number of Tools Used*Cost of a Tool
Machining Time for one Component using Total Machining Time
Go Machining Time = Total Machining Time/Batch Size
Total Machining Time or Total Machine Time
Go Total Machining Time = Batch Size*Machining Time
Size of Batch given Total Machining Time
Go Batch Size = Total Machining Time/Machining Time
Load or Unload or Setup Time given Total Non-Productive Time
Go Setup Time = Non-Productive Time/Batch Size
Size of Batch using Total Non-Productive Time
Go Batch Size = Non-Productive Time/Setup Time
Total Non-Productive Time
Go Non-Productive Time = Batch Size*Setup Time

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))
Nb = tc*Nt/(tp-(ts+tm))

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 Nb 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 (tc), Number of Tools Used (Nt), Average Production Time (tp), Setup Time (ts) & Machining Time (tm) and hit the calculate button. Here is how the Batch Size given Average Production Time calculation can be explained with given input values -> 1.8 = 300*3/(600-(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 Nb = tc*Nt/(tp-(ts+tm)) 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 (tc), Number of Tools Used (Nt), Average Production Time (tp), Setup Time (ts) & Machining Time (tm). 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.
How many ways are there to calculate Batch Size?
In this formula, Batch Size uses Time to Change One Tool, Number of Tools Used, Average Production Time, Setup Time & Machining Time. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Batch Size = Non-Productive Time/Setup Time
  • Batch Size = Total Machining Time/Machining Time
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