General Form Of Assignment Problem In Wake

State:
Multi-State
County:
Wake
Control #:
US-00037DR
Format:
Word; 
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Description

A factor is a person who sells goods for a commission. A factor takes possession of goods of another and usually sells them in his/her own name. A factor differs from a broker in that a broker normally doesn't take possession of the goods. A factor may be a financier who lends money in return for an assignment of accounts receivable (A/R) or other security.

Many times factoring is used when a manufacturing company has a large A/R on the books that would represent the entire profits for the company for the year. That particular A/R might not get paid prior to year end from a client that has no money. That means the manufacturing company will have no profit for the year unless they can figure out a way to collect the A/R.

This form is a generic example that may be referred to when preparing such a form for your particular state. It is for illustrative purposes only. Local laws should be consulted to determine any specific requirements for such a form in a particular jurisdiction.

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FAQ

The Generalized Assignment Problem has shown to be NP-hard and therefore efficient algorithms are needed, especially for large problems.

Since integer linear programming is NP-hard, many problem instances are intractable and so heuristic methods must be used instead.

The Generalized Assignment Problem has shown to be NP-hard and therefore efficient algorithms are needed, especially for large problems.

However, the opposite direction is not true: some problems are undecidable, and therefore even more difficult to solve than all problems in NP, but they are probably not NP-hard (unless P=NP).

In applied mathematics, the maximum generalized assignment problem is a problem in combinatorial optimization. This problem is a generalization of the assignment problem in which both tasks and agents have a size. Moreover, the size of each task might vary from one agent to the other.

The problem is NP-hard, so there is no known algorithm for solving this problem in polynomial time, and even small instances may require long computation time. It was also proven that the problem does not have an approximation algorithm running in polynomial time for any (constant) factor, unless P = NP.

The assignment problem in the general form can be stated as follows: “Given n facilities, n jobs and the effectiveness of each facility for each job, the problem is to assign each facility to one and only one job in such a way that the measure of effectiveness is optimised (Maximised or Minimised).”

For example, suppose an accounts officer has 4 subordinates and 4 tasks. The subordinates differ in efficiency and take different time to perform each task. If one task is to be assigned to one person in such a way that the total person hours are minimised, the problem is called an assignment problem.

More info

You could try using the greedy heuristic to get an initial solution and then try out one of the many neighborhoodsearch type metaheuristics. Assignment problem is a problem of assigning jobs or activities to the workers.To put the above problem in a mathematical form, we define a set of variables xij as follows: 𝑥𝑖𝑗 = {. 1,if the𝑖𝑡ℎ job is assigned to the𝑗𝑡ℎ machines. We'll handle the assignment problem with the Hungarian algorithm (or Kuhn-Munkres algorithm). I'll illustrate two different implementations of this algorithm. A general 2-D assignment problem can be formed as following. Given the cost matrix element Cij, find an assignment Z = {zij} that minimizes. The document discusses assignment problems and provides examples to illustrate how to solve them. Let us solve an assignment problem through Hungarian assignment method or H it is a very unique method of solving assignment problem.

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General Form Of Assignment Problem In Wake