Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 7th Sem New 2171503 Resource Optimization Techniques Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? VII (New) EXAMINATION ? WINTER 2019
Subject Code: 2171503 Date: 28/11/2019
Subject Name: Resource Optimization Techniques
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Define OR. 03
(b) Discus its scope in Indian industries related to Industrial engineering. 04
(c) Explain various phases of OR to solve any problem of industries for optimum
solution.
07
Q.2 (a) What is Linear programming? 03
(b) What are the problems you may face for OR implementation? 04
(c) Solve the following LPP.
Minimize 4x+3y+z, Subject to x-2y +z >= 2, x+ y-z >= 3, x, y, z >= 0
07
OR
(c) Solve the following LPP.
Minimize 10x+6y+2z, Subject to -x+y+z >= 1, 3x+y-z>= 2, x, y, z >= 0
07
Q.3 (a) Explain in short: Optimum solution. 03
(b) What is waiting line problem? How you solve it? 04
(c) Solve the following sequential problem by graphical and arithmetic method:
Job A B C D E X Y Z
Machine-A 15 14 31 26 25 20 21 15
Machine-B 17 20 23 21 30 19 15 31
07
OR
Q.3 (a) Explain in short: Non-degenerate feasible solution. 03
(b) What is the significance of Vogel?s Approximate Method? 04
(c) What is degeneracy in transportation problem? Hove can it solve? 07
Q.4 (a) Discuss (i) Balking ii) Jockeying 03
(b) What are causes of replacement of a machine? 04
(c)
Explain the following terms related to Game theory:
1. Game, 2. Mixed strategy;
3. Two person?s zero sum game. 4. Saddle point.
07
OR
Q.4 (a) What is application of Game Theory? 03
(b) Differentiate: Individual v/s Group replacement model. 04
(c) The probability Pn of failure just before n is shown in below. If individual
replacement costs Rs. 3.50 and group replacement costs Rs. 1.00 per item. Find the
optimum replacement solution.
n 1 2 3 4 5 6 7 8
Pn 0.02 0.03 0.05 0.12 0.14 0.18 0.15 0.12
07
Q.5 (a) Write note: Models of OR. 03
(b) Differentiate slack and surplus variables. 04
(c) Solve the following Game: 07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? VII (New) EXAMINATION ? WINTER 2019
Subject Code: 2171503 Date: 28/11/2019
Subject Name: Resource Optimization Techniques
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Define OR. 03
(b) Discus its scope in Indian industries related to Industrial engineering. 04
(c) Explain various phases of OR to solve any problem of industries for optimum
solution.
07
Q.2 (a) What is Linear programming? 03
(b) What are the problems you may face for OR implementation? 04
(c) Solve the following LPP.
Minimize 4x+3y+z, Subject to x-2y +z >= 2, x+ y-z >= 3, x, y, z >= 0
07
OR
(c) Solve the following LPP.
Minimize 10x+6y+2z, Subject to -x+y+z >= 1, 3x+y-z>= 2, x, y, z >= 0
07
Q.3 (a) Explain in short: Optimum solution. 03
(b) What is waiting line problem? How you solve it? 04
(c) Solve the following sequential problem by graphical and arithmetic method:
Job A B C D E X Y Z
Machine-A 15 14 31 26 25 20 21 15
Machine-B 17 20 23 21 30 19 15 31
07
OR
Q.3 (a) Explain in short: Non-degenerate feasible solution. 03
(b) What is the significance of Vogel?s Approximate Method? 04
(c) What is degeneracy in transportation problem? Hove can it solve? 07
Q.4 (a) Discuss (i) Balking ii) Jockeying 03
(b) What are causes of replacement of a machine? 04
(c)
Explain the following terms related to Game theory:
1. Game, 2. Mixed strategy;
3. Two person?s zero sum game. 4. Saddle point.
07
OR
Q.4 (a) What is application of Game Theory? 03
(b) Differentiate: Individual v/s Group replacement model. 04
(c) The probability Pn of failure just before n is shown in below. If individual
replacement costs Rs. 3.50 and group replacement costs Rs. 1.00 per item. Find the
optimum replacement solution.
n 1 2 3 4 5 6 7 8
Pn 0.02 0.03 0.05 0.12 0.14 0.18 0.15 0.12
07
Q.5 (a) Write note: Models of OR. 03
(b) Differentiate slack and surplus variables. 04
(c) Solve the following Game: 07
2
Player-B
3 2 3 4 5
Player-A 2 -7 -5 3 4
3 5 7 -3 3
OR
Q.5 (a) Discuss History of OR. 03
(b) What is the role of duality in LPP? 04
(c)
Solve following transportation problem for minimum transportation cost. Unit shipping
costs in Rs. Are given as under.
Factory/Warehouse a b c d Supply
A 8 9 6 3 18
B 6 11 5 10 20
C 3 8 7 9 18
Demand 15 16 12 13
07
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This post was last modified on 20 February 2020