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2.19 special case of unbalanced problem in assignment

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Vishal Tidake
Vishal Tidake

Special Case of Unbalanced Problem in Assignment

Data & Analytics
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www.sanjivanimba.org.in Unit No.2. DECISION SCIENCE Presented By: Dr. V. M. Tidake Ph. D (Financial Management), MBA(FM), MBA(HRM) BE(Chem) Dean, EDP & Associate Professor MBA 1 Sanjivani College of Engineering, Kopargaon Department of MBA www.sanjivanimba.org.in
www.sanjivanimba.org.in 302-DECISION SCIENCE Unit No.2. Transportation & Assignment 2.19 Special Case of Unbalanced Problem in Assignment Presented By: Dr. V. M. Tidake Ph. D (Financial Management), MBA(FM), MBA(HRM) BE(Chem) Dean EDP & Associate Professor MBA 2 Sanjivani College of Engineering, Kopargaon Department of MBA www.sanjivanimba.org.in
www.sanjivanimba.org.in TRANSPORTATION & ASSIGNMENT  At the End of the Session Student will be able to find- A. Special Case of Unbalanced Problem in Assignment
www.sanjivanimba.org.in Hungarian Method in Assignment 1. The personal manager of ABC Co wants to assign Mr. X, Y and Z to the regional offices for which the costs are given. But the firm also has an opening in its Chennai office and would send one of them to that branch if it is more economical than a move to Delhi, Mumbai or Kolkata. It will cost Rs. 2000/- to relocate Mr. X to Chennai, Rs. 1600/- to replace Mr. Y there and Rs. 3000/- to move Mr. Z. What is the optimum assignment of personal to the offices? D M K X 1600 2000 2400 Y 1000 3200 2600 Z 1000 2000 4600
www.sanjivanimba.org.in Hungarian Method in Assignment Add Dummy Row: D M K C X 1600 2000 2400 2000 Y 1000 3200 2600 1600 Z 1000 2000 4600 3000 Dummy 0 0 0 0
www.sanjivanimba.org.in Hungarian Method in Assignment Row Subtraction: D M K C X 0 400 800 400 Y 0 2200 1600 600 Z 0 1000 3600 2000 Dummy 0 0 0 0
www.sanjivanimba.org.in Hungarian Method in Assignment Column Subtraction: D M K C X 0 400 800 400 Y 0 2200 1600 600 Z 0 1000 3600 2000 Dummy 0 0 0 0
www.sanjivanimba.org.in Hungarian Method in Assignment D M K C X 0 400 800 400 Y 0 2200 1600 600 Z 0 1000 3600 2000 Dummy 0 0 0 0 Reduced Matrix:
www.sanjivanimba.org.in Hungarian Method in Assignment D M K C X 0 0 400 0 Y 0 1800 1200 200 Z 0 600 3200 1600 Dummy 400 0 0 0 First Improvement:
www.sanjivanimba.org.in Hungarian Method in Assignment D M K C X 0 0 400 0 Y 0 1800 1200 200 Z 0 600 3200 1600 Dummy 400 0 0 0 Reduced Matrix:
www.sanjivanimba.org.in Hungarian Method in Assignment D M K C X 200 0 400 0 Y 0 1600 1000 0 Z 0 400 3000 1400 Dummy 600 0 0 0 Second Improvement:
www.sanjivanimba.org.in Hungarian Method in Assignment D M K C X 200 0 400 0 Y 0 1600 1000 0 Z 0 400 3000 1400 Dummy 600 0 0 0 Reduced Matrix:
www.sanjivanimba.org.in Hungarian Method in Assignment D M K C X 200 0 400 0 Y 0 1600 1000 0 Z 0 400 3000 1400 Dummy 600 0 0 0 Optimal Solution:
www.sanjivanimba.org.in Hungarian Method in Assignment Thus the Optimum Solution is- S/r No Person Office Cost 01 X Mumbai 2000 02 Y Chennai 1600 03 Z Delhi 1000 04 Dummy Kolkata 0 - Total Rs. 4600
www.sanjivanimba.org.in EXERCISE  Solve the Special Case of Unbalanced Problem in Assignment as a practice exercise.
www.sanjivanimba.org.in For More Details Contact Dr. V M Tidake tidkevishal@gmail.com tidkevishalmba@sanjivani.org.in
www.sanjivanimba.org.in Thank You

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