Anna University Previous Years Question Papers
Question paper code: 40215
M.B.A. DEGREE EXAMINATION,APRIL/MAY-2015
Second semester
Textile technology
BA9226/BA926/UBA9126-APPLIED OPERATIONS RESEARCH FOR MANAGEMENT
(Regulation 2008)
Time- Three hour
Maximum mark-100
Answer all questions
PART A-10X2=20
1. List the procedure for Duality.
2. What are the assumption in linear programming
3. What are the types of transportation proble
4. List the step in least cost method for finding initial basic solution.
5. Define Dominance property in game theory.
6. What is the need for Integer programming Algorithmm.
7. List the approaches in decision under Risk.
8. What is decision Tree ?Illustrate with a simple example .
9. List any five application areas of Queuing system.
10.What are the type of Replacement problem?ss
PART B-5X16=80MARKS
11.(a)Elucidate the terminologies of liner programming model in detail. List the explain the properties of liner programming solution.
(or)
(b)Solve the following liner programming problem using dual simple method:
Minimize Z= 2x1+4x2
Subject to: 2x1+x2≥4
x1+2x2≥3
2x1+2x≤12
x1 and x2≥0
12.(a) Consider the transportation problem shown in the table and find the initial basic feasible solution using each of the following method and compare their total costs
(i)Northwest corner method
(ii)least cost method
(iii)Vogel’s approximation method
Mark
1 2 3 4 5 supply
1 10 2 16 14 10 300
Plant 2 6 18 12 13 16 500
3 8 4 14 12 10 825
4 14 22 20 8 18 375
Demand 350 400 250 150 400
(or)
(b)Explain the type of assignment problem and discuss its practical application.
13.(a)Solve the following integer programming problem using brab=nch and bound technique
Minimize Z= 10x1+20x2
Subject to: 6x1+8x2≤48
x1+3x2≤12
x1 and x2≥0 and indegers.
(or)
(b)Explain the following terminologies of games theory:
(i) Players
(ii) Strategy
(iii)Maximin principle
(iv)Minimax principle
(v)saddle point
(vi)Value of the game
(vii) Two person zero sum game
(viii)Dominate property
14(a)The annual demand for a component is 7200 units. The carrying cost is
Rs. 500 unit/year, the ordering cost is Rs 1500 per order and the storage cost is
Rs. 2000 unit/year. Find the optimal values of the following :
(i)Economic order quantity
(ii)Maximum inventory
(iii)Maximum shortage quantity
(iv)Cycle time (t)
(v) inventory period (t1)
(vi) Shortage period (t2).
(or)
(b)Elicit the application of simulation technique for decision making.
15.(a) Explain the terminologies of queuing theory and discuss its application areas.
(or)
(b)Depict the replacement models and explain its types in details.
Question paper code: 40215
M.B.A. DEGREE EXAMINATION,APRIL/MAY-2015
Second semester
Textile technology
BA9226/BA926/UBA9126-APPLIED OPERATIONS RESEARCH FOR MANAGEMENT
(Regulation 2008)
Time- Three hour
Maximum mark-100
Answer all questions
PART A-10X2=20
1. List the procedure for Duality.
2. What are the assumption in linear programming
3. What are the types of transportation proble
4. List the step in least cost method for finding initial basic solution.
5. Define Dominance property in game theory.
6. What is the need for Integer programming Algorithmm.
7. List the approaches in decision under Risk.
8. What is decision Tree ?Illustrate with a simple example .
9. List any five application areas of Queuing system.
10.What are the type of Replacement problem?ss
PART B-5X16=80MARKS
11.(a)Elucidate the terminologies of liner programming model in detail. List the explain the properties of liner programming solution.
(or)
(b)Solve the following liner programming problem using dual simple method:
Minimize Z= 2x1+4x2
Subject to: 2x1+x2≥4
x1+2x2≥3
2x1+2x≤12
x1 and x2≥0
12.(a) Consider the transportation problem shown in the table and find the initial basic feasible solution using each of the following method and compare their total costs
(i)Northwest corner method
(ii)least cost method
(iii)Vogel’s approximation method
Mark
1 2 3 4 5 supply
1 10 2 16 14 10 300
Plant 2 6 18 12 13 16 500
3 8 4 14 12 10 825
4 14 22 20 8 18 375
Demand 350 400 250 150 400
(or)
(b)Explain the type of assignment problem and discuss its practical application.
13.(a)Solve the following integer programming problem using brab=nch and bound technique
Minimize Z= 10x1+20x2
Subject to: 6x1+8x2≤48
x1+3x2≤12
x1 and x2≥0 and indegers.
(or)
(b)Explain the following terminologies of games theory:
(i) Players
(ii) Strategy
(iii)Maximin principle
(iv)Minimax principle
(v)saddle point
(vi)Value of the game
(vii) Two person zero sum game
(viii)Dominate property
14(a)The annual demand for a component is 7200 units. The carrying cost is
Rs. 500 unit/year, the ordering cost is Rs 1500 per order and the storage cost is
Rs. 2000 unit/year. Find the optimal values of the following :
(i)Economic order quantity
(ii)Maximum inventory
(iii)Maximum shortage quantity
(iv)Cycle time (t)
(v) inventory period (t1)
(vi) Shortage period (t2).
(or)
(b)Elicit the application of simulation technique for decision making.
15.(a) Explain the terminologies of queuing theory and discuss its application areas.
(or)
(b)Depict the replacement models and explain its types in details.
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