Hungarian Method

May 12th, 2015
Studypool Tutor
Price: $10 USD

Tutor description

The cost of allocating methods to requirements can be represented by a cost matrix in which each element represents the cost Cij of allocating the ith method to the jth requirement

Word Count: 343
Showing Page: 1/8
HungarianMethodHUNGARIANMETHODThe cost of allocatingmethods torequirements can berepresented by a costmatrix in which eachelement representsthe cost Cij ofallocating the ithmethod to the jthrequirement12jn1C11C12C1jC1n2C21C22C2jC2niCi1CijCinCn1CnjCnnnThe fundamental principleof this method is that if anassignment problem ismodified by adding orsubtracting a constantfrom all of the elements ina row or column of a costmatrix then the optimalsolution of the modifiedproblem is the same asthe optimal solution of theoriginal problem.The algorithm is asfollows:Step 1: Locate thesmallest cost in each ROWof the cost matrix. Subtractthis cost from each cost onthat row. This results in a0 in each row of the costmatrix.Step 2: Determine if asolution to the modifiedproblem exists that has a costof zero i.e. there must be nindependent 0s where n is thenumber of rows or columns.Check by drawing the minimalset of lines through the 0s thatresulted from step1 (lines aredrawn across rows or downcolumns). If fewer than n lineswill cover all 0s then theoptimal solution has not beenfound proceed to step 3.Step 3. Repeat step 1on the columns. Againdraw the minimal set oflines to cover all 0s. Ifthe minimal set of linesis n the optimal solutionhas been found - if notproceed to step 4.Step 4: Starting with thematrix from step 3. Call theelemen

Review from student

Studypool Student
" Top quality work from this guy! I'll be back! "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1821 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors