Monday, June 22, 2009

Material Constraint Theory Part II



MATERIAL CONSTRAINT THEORY

(I) MATERIAL CONSTRAINT ON “MANY TO ONE ALLOCATION”

The problem defined could be treated as the case of - Allocation of on-hand inventory to a particular MO and calculate feasible quantity which can be produced [of current Item]. In this case, at an operation level, the producing part consumes multiple WIP/RM and generates a case where all required parts are not available in required quantities.


In other words, the problem can be identified as:

a) Assigning available on-hand inventory of all required components for manufacturing current MO based on stock policy.
b) Calculate the feasible quantity of current item I than can be produced.


Following illustration is helpful to understand the stated problem.


(II) MATERIAL CONSTRAINT ON “ONE TO MANY ALLOCATION”

The problem defined could be treated as the case of - Allocation of on-hand inventory of a particular part / item to multiple MO/operation and calculate feasible quantity which can be produced [of current Item]. In this case, at an operation level, a particular part/WIP is being consumed by multiple downstream operations and generates a case where a required part is not available in sufficient quantities to produce sum of all next level parts demand.

In other words, the problem can be identified as:

a) Assign available inventory to multiple consuming MO, based on some objective function and stock policy.
b) Calculate the Production quantity for each of the successor MO.
Following illustration is helpful to understand the stated problem.

(III) MATERIAL CONSTRAINT ON “MANY TO MANY ALLOCATION”


The problem defined could be treated as the case of - Allocation of on-hand inventory of a particular part / item to multiple MO/operation and calculate feasible quantity which can be produced [of current Item]. In this case, at an operation level, a particular part/WIP is being consumed by multiple downstream operations and generates a case where a required part is not available in sufficient quantities to produce sum of all next level parts demand.

In other words, the problem can be identified as:

a) Assign available inventory to multiple consuming MO, based on some objective function and stock policy.
b)Calculate the Production quantity for each of the successor MO.


Following illustration is helpful to understand the stated problem
.



Next part, we shall try to enumerate in detail each problem independently and try to find out feasible solution(s) possible without violating constraints defined.

Please note, there are number of feasible solution possible, depending on how one see a particular problem and how the required objective function is defined.






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