✖Production cost of each component refers to the total expenses incurred in manufacturing a single component, taking into account all direct and indirect costs associated with the machining process.ⓘ Production Cost of Each Component [C_p]			+10% -10%
✖Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.ⓘ Machining and Operating Rate [R]			+10% -10%
✖Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in "Meter".ⓘ Constant For Machining Condition [K]			+10% -10%
✖Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Tool Life [T]			+10% -10%
✖Reference tool life refers to an estimated or theoretical lifespan of a cutting tool under ideal operating conditions.ⓘ Reference Tool Life [L]			+10% -10%
✖Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.ⓘ Taylor's Tool Life Exponent [n]			+10% -10%
✖Reference cutting velocity refers to the ideal or theoretical speed at which the cutting tool moves relative to the workpiece material during the machining process.ⓘ Reference Cutting Velocity [V]			+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.ⓘ Non-Productive Time per component given Minimum Production Cost [t_s]

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Non-Productive Time per component given Minimum Production Cost

Formula

`"t"_{"s"} = "C"_{"p"}/"R"-("K"*(("T"/"L")^"n")/("V"*(1-"n")))`

Example

`"300s"="5000"/"7"-("168.946948749017m"*(("3000s"/"60s")^"0.125")/("0.76m/s"*(1-"0.125")))`

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Non-Productive Time per component given Minimum Production Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

Setup Time = Production Cost of Each Component/Machining and Operating Rate-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)))
t_s = C_p/R-(K*((T/L)^n)/(V*(1-n)))
This formula uses 8 Variables

Variables Used

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.
Production Cost of Each Component - Production cost of each component refers to the total expenses incurred in manufacturing a single component, taking into account all direct and indirect costs associated with the machining process.
Machining and Operating Rate - Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
Constant For Machining Condition - (Measured in Meter) - Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in "Meter".
Tool Life - (Measured in Second) - Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
Reference Tool Life - (Measured in Second) - Reference tool life refers to an estimated or theoretical lifespan of a cutting tool under ideal operating conditions.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Reference Cutting Velocity - (Measured in Meter per Second) - Reference cutting velocity refers to the ideal or theoretical speed at which the cutting tool moves relative to the workpiece material during the machining process.

STEP 1: Convert Input(s) to Base Unit

Production Cost of Each Component: 5000 --> No Conversion Required
Machining and Operating Rate: 7 --> No Conversion Required
Constant For Machining Condition: 168.946948749017 Meter --> 168.946948749017 Meter No Conversion Required
Tool Life: 3000 Second --> 3000 Second No Conversion Required
Reference Tool Life: 60 Second --> 60 Second No Conversion Required
Taylor's Tool Life Exponent: 0.125 --> No Conversion Required
Reference Cutting Velocity: 0.76 Meter per Second --> 0.76 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_s = C_p/R-(K*((T/L)^n)/(V*(1-n))) --> 5000/7-(168.946948749017*((3000/60)^0.125)/(0.76*(1-0.125)))

Evaluating ... ...

t_s = 300.000000000001

STEP 3: Convert Result to Output's Unit

300.000000000001 Second --> No Conversion Required

FINAL ANSWER

300.000000000001 ≈ 300 Second <-- Setup Time

(Calculation completed in 00.004 seconds)

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

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< 14 Minimum Machining Cost Calculators

Taylor's Exponent for Minimum Machining Cost given Tool Life

Go Taylor's Tool Life Exponent = ((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion)/(Tool Life+((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion))

Tool Life for minimum cost given Minimum Production Cost

Go Tool Life = Reference Tool Life*((((Production Cost of Each Component/Machining and Operating Rate)-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/Constant For Machining Condition)^(1/Taylor's Tool Life Exponent))

Machining and Operating Rate given Minimum Production Cost

Go Machining and Operating Rate = Production Cost of Each Component/(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))))

Reference Tool Life given Minimum Production Cost

Go Reference Tool Life = Tool Life/(((Production Cost of Each Component/Machining and Operating Rate-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/Constant For Machining Condition)^(1/Taylor's Tool Life Exponent))

Minimum Production Cost per Component

Go Production Cost of Each Component = Machining and Operating Rate*(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))))

Non-Productive Time per component given Minimum Production Cost

Go Setup Time = Production Cost of Each Component/Machining and Operating Rate-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)))

Reference Cutting Velocity given Minimum Production Cost

Go Reference Cutting Velocity = Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/((1-Taylor's Tool Life Exponent)*(Production Cost of Each Component/Machining and Operating Rate-Setup Time))

Constant for Machining Operation given Minimum Production Cost

Go Constant For Machining Condition = (Production Cost of Each Component/Machining and Operating Rate-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)

Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool

Go Tool Life = Time Proportion*(Cost of Changing Each Tool+Cost of a Tool)*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate)

Tool Changing Cost per Tool given Tool Life for Minimum Machining Cost

Go Cost of Changing Each Tool = (Tool Life*Taylor's Tool Life Exponent*Machining and Operating Rate/(Time Proportion*(1-Taylor's Tool Life Exponent)))-Cost of a Tool

Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost

Go Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion))-(Cost of a Tool/Machining and Operating Rate)

Tool Life of One Tool for Minimum Machining Cost

Go Tool Life = Time Proportion*(Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent

Taylor's Exponent for Minimum Machining Cost per component

Go Taylor's Tool Life Exponent = 1-(Machining Time for Minimum Cost*Machining and Operating Rate/Machining and Operating Cost of Each Product)

Machining Time per component for Minimum Machining Cost

Go Machining Time for Minimum Cost = Machining and Operating Cost of Each Product*(1-Taylor's Tool Life Exponent)/Machining and Operating Rate

Non-Productive Time per component given Minimum Production Cost Formula

Significance of Non-Productive Time

The Non-Productive Time helps the concerned to determine the resource of the industry being wasted due to time lapse in important but non-profitable processes of the production line. It also helps in determining the required measures to be taken to increase the productivity of the plant which generally includes steps to decrease the Total Non-Productive Cost.

How to Calculate Non-Productive Time per component given Minimum Production Cost?

Non-Productive Time per component given Minimum Production Cost calculator uses Setup Time = Production Cost of Each Component/Machining and Operating Rate-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))) to calculate the Setup Time, The Non-Productive Time per component given Minimum Production Cost is a method to determine the maximum time that can be spent to load/unload the workpiece and/or reposition the tool for the manufacturing of a single product such that the of Production is Minimum. Setup Time is denoted by t_s symbol.

How to calculate Non-Productive Time per component given Minimum Production Cost using this online calculator? To use this online calculator for Non-Productive Time per component given Minimum Production Cost, enter Production Cost of Each Component (C_p), Machining and Operating Rate (R), Constant For Machining Condition (K), Tool Life (T), Reference Tool Life (L), Taylor's Tool Life Exponent (n) & Reference Cutting Velocity (V) and hit the calculate button. Here is how the Non-Productive Time per component given Minimum Production Cost calculation can be explained with given input values -> 300 = 5000/7-(168.946948749017*((3000/60)^0.125)/(0.76*(1-0.125))).

FAQ

What is Non-Productive Time per component given Minimum Production Cost?

The Non-Productive Time per component given Minimum Production Cost is a method to determine the maximum time that can be spent to load/unload the workpiece and/or reposition the tool for the manufacturing of a single product such that the of Production is Minimum and is represented as t_s = C_p/R-(K*((T/L)^n)/(V*(1-n))) or Setup Time = Production Cost of Each Component/Machining and Operating Rate-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))). Production cost of each component refers to the total expenses incurred in manufacturing a single component, taking into account all direct and indirect costs associated with the machining process, Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads, Constant For Machining Condition can be regarded as the distance moved by the tool corner relative to the workpiece during a particular machining condition. It is usually measured in "Meter", Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations, Reference tool life refers to an estimated or theoretical lifespan of a cutting tool under ideal operating conditions, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear & Reference cutting velocity refers to the ideal or theoretical speed at which the cutting tool moves relative to the workpiece material during the machining process.

How to calculate Non-Productive Time per component given Minimum Production Cost?

The Non-Productive Time per component given Minimum Production Cost is a method to determine the maximum time that can be spent to load/unload the workpiece and/or reposition the tool for the manufacturing of a single product such that the of Production is Minimum is calculated using Setup Time = Production Cost of Each Component/Machining and Operating Rate-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))). To calculate Non-Productive Time per component given Minimum Production Cost, you need Production Cost of Each Component (C_p), Machining and Operating Rate (R), Constant For Machining Condition (K), Tool Life (T), Reference Tool Life (L), Taylor's Tool Life Exponent (n) & Reference Cutting Velocity (V). With our tool, you need to enter the respective value for Production Cost of Each Component, Machining and Operating Rate, Constant For Machining Condition, Tool Life, Reference Tool Life, Taylor's Tool Life Exponent & Reference Cutting Velocity 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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