JNTU
JNTU B.Tech III MINE SYSTEMS ENGINEERING Previous Question Paper (May - 2019 - R16)
Note: This question paper contains two parts A and B. Part A is compulsory which carries 25 marks. Answer all questions in Part A. Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 10 marks and may have a, b, c as sub questions.
Part A
What do you understand by a Linear programming Problem?
Answer
A Linear Programming Problem (LPP) is a mathematical optimization technique used to determine the best outcome in a model whose requirements are represented by linear relationships. It involves maximizing or minimizing a linear objective function subject to a set of linear equality or inequality constraints.
List the classification of Operation Research Models.
Answer
Operations Research models are classified as follows:
- Deterministic models
- Probabilistic (Stochastic) models
- Static models
- Dynamic models
- Linear and Non-linear models
- Simulation models
What is Assignment problem?
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What is MODI method?
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State the pre-requisites for solving a “3-machine n, Job” Sequencing problem.
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Explain the O.R Methodology of solving replacement problems.
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What are the different types of inventory in industries?
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Explain the benefits of inventory control.
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Explain the phases of simulation.
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List the purpose of CPM and PERT for Project Management.
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Part B
What are the basic characteristics of a Linear Programming Model?
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Solve graphically the following linear programming problem. Maximize Z = 5X1+3X2 Subject to 3X1+X2 ≤ 12, X1+2X2 ≤ 14, X1+X2 ≤ 8, X1, X2 ≥0
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Solve graphically the following Linear Program: Maximize Z=3X1+5X2 Subject to X1≤4, X2≤5 And 5X1+4X2 ≤ 30 X1≥0, X2≥0
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The assignment problem given requires four different jobs to be done on four different machines. Calculate the minimum cost of assignment.
| Job | M1 | M2 | M3 | M4 |
| J1 | 27 | 35 | 36 | 30 |
| J2 | 33 | 37 | 36 | 35 |
| J3 | 30 | 26 | 28 | 24 |
| J4 | 38 | 29 | 35 | 33 |
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The assignment problem given requires four different job to be done on four different machines. Calculate the minimum cost of Assignment.
| JOB | M1 | M2 | M3 | M4 |
| J1 | 27 | 35 | 36 | 30 |
| J2 | 33 | 37 | 36 | 35 |
| J3 | 30 | 26 | 28 | 24 |
| J4 | 38 | 29 | 35 | 33 |
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Enumerate the important assumptions made in sequencing problems.
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An electric generator costs Rs.2,00,000, Operating and maintenance costs are Rs.10,000 per year for the first five years. In the sixth and the subsequent years these costs increase by Rs.2,000 each year. Assuming 10% cost of money per year, find the Optimum length of time to keep the machine before replacing it?
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Explain with examples failure mechanism of items.
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What is replacement? Describe some important replacement situations and replacement policies.
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How is the concept of Dominance used in simplifying the solution of a rectangular game?
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Explain the relevant cost for inventory decisions.
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Discuss step by step the development of EOQ formula.
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Describe the role of “Theory of games” for scientific decision making.
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Customers arrive at the rate of twenty per hour and the present serving arrangements can cope with thirty per hour for an eight-hour day .What is the average time in the queue?
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Develop a network diagram for the project specified below.
| Activity | Immediate Predecessor Activity |
| A | ----- |
| B | A |
| C,D | B |
| E | C |
| F | D |
| G | E,F |
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What do you understand by a waiting line model?
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Draw the Network Diagram:
| Activity | Description | Immediate Predecessor | Duration |
| A | Receive raw materials | ----- | 0.5 |
| B | Bolt cutting | A | 1.0 |
| C | Transfer Machine | ----- | 1.5 |
| D | Transfer Machine | ----- | 1.4 |
| E | Barrel pinning | D | 1.2 |
| F | Shackle groove cutting | B | 0.8 |
| G | Shackle bending | F | 1.0 |
| H | Insert shackle into body | C,E,G | 0.4 |
| I | Insert barrel into body | H | 1.4 |
| J | Packaging of padlock | I | 0.5 |
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