Download GTU BE/B.Tech 2019 Winter 7th Sem New 2171503 Resource Optimization Techniques Question Paper

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BE - SEMESTER- VII (New) EXAMINATION — WINTER 2019

Subject Code: 2171503

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Subject Name: Resource Optimization Techniques

GUJARAT TECHNOLOGICAL UNIVERSITY

Time: 10:30 AM TO 01:00 PM

Instructions:

1. Attempt all questions.

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2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1

1. (a) Define OR. [03]
2. (b) Discuss its scope in Indian industries related to Industrial engineering. [04]

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3. (c) Explain various phases of OR to solve any problem of industries for optimum solution. [07]

OR

1. (a) Write note: Models of OR. [03]
2. (b) Differentiate slack and surplus variables. [04]
3. (c) Solve the following Game: [07]
   

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   	1	2	3
   Player-A	2	3	2
   3	3	4	0

Q.2

1. (a) What is Linear programming? [03]
2. (b) What are the problems you may face for OR implementation? [04]
3. (c) Solve the following LPP. [07]
   

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   Minimize 4x+3y+z, Subject to x-2y +z>=2, x+y-z>=3, X,y,z>=0

OR

1. (a) Explain in short: Optimum solution. [03]
2. (b) What is the role of duality in LPP? [04]
3. (c) Solve the following LPP. [07]
   

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   Minimize 10x+6y+2z, Subject to -x+y+z >= 1, 3x+y-z>=2, x,y,z>=0

Q.3

1. (a) What is waiting line problem? How you solve it? [03]
2. (b) Explain in short: Non-degenerate feasible solution. [04]
3. (c) Solve the following sequential problem by graphical and arithmetic method: [07]
   

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   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

OR

1. (a) Discuss History of OR. [03]

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2. (b) What is the significance of Vogel’s Approximate Method? [04]
3. (c) Solve following transportation problem for minimum transportation cost. Unit shipping costs in Rs. Are given as under. [07]
   

   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

Q.4

1. (a) What is degeneracy in transportation problem? How can it solve? [03]

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2. (b) Discuss (1) Balking (2) Jockeying [04]
3. (c) What are causes of replacement of a machine? [07]

OR

1. (a) Explain the following terms related to Game theory: [03]
   1. Game
   2. Mixed strategy

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   3. Two person’s zero sum game
   4. Saddle point
2. (b) What is application of Game Theory? [04]
3. (c) Differentiate: Individual v/s Group replacement model. [07]

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Q.5

1. (a) 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. [03]
   

   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

2. (b) [04]
3. (c) [07]

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OR

1. (a) [03]
2. (b) [04]
3. (c) [07]

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