Method and apparatus for estimation of component gating and shortage risk in manufacturing operations
First Claim
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1. A computer-implemented method performed with a computer having a processor and a memory for estimating component shortage risk of a component used to make products during a manufacturing process, the component shortage risk for use in placing orders for the component to help ensure that sufficient units of the component are available during the manufacturing of the products, comprising:
- identifying the component used to make the products in the manufacturing process;
computing by the processor a probability of shortage for the component based onstatistical information regarding a demand for the products,a maximum expeditable level of the component, andconnect rates that describe a consumption of the component for each unit of the productswherein the probability of shortage is represented by the quantity r in the formula;
r=∫
d∞
N(x,a·
μ
,√
{square root over (aTΣ
a)})dx,wherein;
d is the maximum expeditable level of the component,N(x,μ
,σ
) is a normal density function having a mean equal to μ and
a variance equal to σ
2,a is a vector of the connect rates for the component, the connect rates describing a consumption of the component for each unit of the products,μ
is a mean demand of the products, andΣ
represents a demand covariance between demand of a first of the products and demand of a second of the products; and
generating an output based on at least the probability of shortage, the output representing the component shortage risk of the identified component for use in placing orders for the component to help ensure that sufficient units of the component are available during the manufacturing of the products.
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Abstract
A method for estimation of component gating risk in manufacturing operations is disclosed. The method includes generating an altered component plan by altering a component plan for a component, computing a mean production value using the altered component plan, and computing the component gating risk using the mean production value.
20 Citations
10 Claims
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1. A computer-implemented method performed with a computer having a processor and a memory for estimating component shortage risk of a component used to make products during a manufacturing process, the component shortage risk for use in placing orders for the component to help ensure that sufficient units of the component are available during the manufacturing of the products, comprising:
-
identifying the component used to make the products in the manufacturing process; computing by the processor a probability of shortage for the component based on statistical information regarding a demand for the products, a maximum expeditable level of the component, and connect rates that describe a consumption of the component for each unit of the products wherein the probability of shortage is represented by the quantity r in the formula;
r=∫
d∞
N(x,a·
μ
,√
{square root over (aTΣ
a)})dx,wherein; d is the maximum expeditable level of the component, N(x,μ
,σ
) is a normal density function having a mean equal to μ and
a variance equal to σ
2,a is a vector of the connect rates for the component, the connect rates describing a consumption of the component for each unit of the products, μ
is a mean demand of the products, andΣ
represents a demand covariance between demand of a first of the products and demand of a second of the products; andgenerating an output based on at least the probability of shortage, the output representing the component shortage risk of the identified component for use in placing orders for the component to help ensure that sufficient units of the component are available during the manufacturing of the products. - View Dependent Claims (2, 3, 4)
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5. A computer program product for use in estimating component shortage risk of a component used to make products during a manufacturing process, the component shortage risk for use in placing orders for the component to help ensure that sufficient units of the component are available during the manufacturing of the products, comprising:
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a computer-readable medium; instructions, stored on the computer-readable medium, executable on a computer system, and configured to cause the computer system to; identify the component used to make the products in a manufacturing process; compute a probability of shortage for the component based on at least; statistical information regarding a demand for the products, a maximum expeditable level of the component, and connect rates that describe a consumption of the component for each unit of the products, wherein the probability of shortage is represented by the quantity r in the formula;
r=∫
d∞
N(x,a·
μ
,√
{square root over (aTΣ
a)})dx,wherein; d is the maximum expeditable level of the component, N(x,μ
,σ
) is a normal density function having a mean equal to μ and
a variance equal to σ
2,a is a vector of the connect rates for the component, μ
is a mean demand of the products, andΣ
represents a demand covariance between demand of a first of the products and demand of a second of the products; andoutput the probability of shortage to represent the component shortage risk of the identified component for use in placing orders for the component to help ensure that sufficient units of the component are available during the manufacturing of the products. - View Dependent Claims (6, 7)
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8. An apparatus with a processor and memory, the processor for executing instructions stored in the memory, the instructions for estimating component shortage risk of a component used to make products during a manufacturing process, the apparatus comprising:
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means for using the processor and memory to identify the component used to make the products in a manufacturing process; means for using the processor and memory to compute probability of shortage for the component based on at least; statistical information regarding a demand for the products, a maximum expeditable level of the component, and connect rates that describe a consumption of the component for each unit of the products wherein the probability of shortage is represented by the quantity r in the formula;
r=∫
d∞
N(x,a·
μ
,√
{square root over (aTΣ
a)})dx,wherein; d is the maximum expeditable level of the component, N(x,μ
,σ
) is a normal density function having a mean equal to μ and
a variance equal to σ
2,a is a vector of the connect rates for the component, μ
is a mean demand of the products, andΣ
represents a demand covariance between demand of a first of the products and demand of a second of the products; andmeans for using the processor and memory to generate an output based on at least the probability of shortage, the probability of shortage representing the component shortage risk of the identified component. - View Dependent Claims (9, 10)
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Specification