Can there be multiple optimal solutions to an assignment problem how do you identify such situations?


Can there be multiple optimal solutions to an assignment problem how do you identify such situations?

It means we have the flexibility of assigning different allocations while still maintaining Minimum (Optimal) cost or Maximum (Optimal) profit. We can detect multiple optimal solutions when there are multiple zeroes in any columns or rows in the final (Optimal) table in the Assignment problem.

Why dummy is added in assignment problem?

The purpose of a dummy row or column in an assignment problem is to obtain balance between total activities & total resources. Dummy rows (or columns) are added in the matrix so as to complete it to form a square matrix. The dummy rows or columns will contain all costs elements as zeroes.

What is average method in assignment problem?

In this paper, a new method, namely Average Total Opportunity Cost (ATOC) assignment method is proposed to solve the assignment problem followed by a Numerical Example. It minimizes the total cost of certain problems and for few problems it gives a more cost compared to existing Hungarian method.

What is standard form of LPP?

Canonical form of standard LPP is a set of equations consisting of the ‘objective function’ and all the ‘equality constraints’ (standard form of LPP) expressed in canonical form. Understanding the canonical form of LPP is necessary for studying simplex method, the most popular method of solving LPP.

Which is the first step for solving assignment problem?

Summary. Step 1 – Subtract the row minimum from each row. Step 2 – Subtract the column minimum from each column from the reduced matrix. Step 3 – Assign one “0” to each row & column.

Which of the following is the fastest algorithm for solving an assignment problem?


What is unbalanced assignment?

Unbalanced Assignment problem is an assignment problem where the number of facilities is not equal to the number of jobs. To make unbalanced assignment problem, a balanced one, a dummy facility(s) or a dummy job(s) (as the case may be) is introduced with zero cost or time.

How do you find optimal assignment?

The working rule of finding the optimal solution is as follows: Step 1: Construct the assignment problem. Step2: Subtract each row entries of the assignment table from the row minimum element. Step 3: Subtract each column entries of the assignment table from the column minimum element.

What are the elements of LPP?

Components of Linear Programming

  • Decision Variables.
  • Constraints.
  • Data.
  • Objective Functions.

How do you write an assignment content?



How is an unbalanced assignment problem solved?

Unbalanced Assignment Problem. If number of rows is not equal to number of columns then it is called Unbalanced Assignment Problem. So to solve this problem, we have to add dummy rows or columns with cost 0, to make it a square matrix. Here given problem is unbalanced and add 1 new column to convert it into a balance.

What is the name of the method used in getting the optimum assignment?

The Hungarian method is used to obtain an optimal solution.

What is maximization assignment problem?

Maximization case in Assignment Problem There may be situation when the assignment problem calls for maximization of profit. Such problem can be solved by converting the given maximization problem into minimization problem by substracting all the elements of the given matrix from the highest element.

How do you solve an assignment problem?

Note that a general description of the algorithm can be found here.

  1. Step 1: Subtract row minima.
  2. Step 2: Subtract column minima.
  3. Step 3: Cover all zeros with a minimum number of lines.
  4. Step 4: Create additional zeros.
  5. Step 3: Cover all zeros with a minimum number of lines.
  6. The optimal assignment.

What are the three components of a LPP?

Constrained optimization models have three major components: decision variables, objective function, and constraints. 1.

How do you draw a line in an assignment problem?

If the ticked row has zeros, then tick the corresponding column. Within the ticked column, if there is an assignment, then tick the corresponding row. Draw a line through each un-ticked row and ticked column. Repeat for each unassigned row.

What is must for an LPP solution?

The necessary conditions for applying LPP are a defined objective function, limited supply of resource availability, and non-negative and interrelated decision variables.

When an assignment problem is said to be balanced?

Balanced Assignment Problem is an assignment problem where the number of facilities is equal to the number of jobs.

How can a good assignment be written?

15 foolproof tips for writing a great assignment

  1. Before you start… Do your reading. Your course or module will have a reading list; make sure you actually use it!
  2. As you’re writing… Introduction. You wouldn’t start a conversation without introducing yourself; your assignment is the same.
  3. After you finish… Get a little distance.