JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech IV Year MINE SYSTEMS ENGINEERING Previous Question Paper (January/February - 2023 - R18)
Question paper consists of Part A, Part B. Part A is compulsory, which carries 25 marks. In Part A, Answer all questions. In Part B, Answer any one question from each unit. Each question carries 10 marks and may have a, b as sub questions.
Part A
Name the basic elements of any operation research (or) model/LP model.
Answer
The basic elements of a linear programming model are decision variables, an objective function, and constraints.
State properties of a standard linear programming model.
Answer
A standard linear programming model satisfies the following properties: the objective function is linear, all constraints are linear, all decision variables are non-negative, and the parameters (coefficients) are constants.
Name the methods used to secure a non-artificial starting basic solution for a transportation problem.
Answer
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State the algorithm commonly used to determine an optimal solution in the transportation model.
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Explain briefly shop sequencing.
Answer
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Explain briefly the replacement of items.
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What is saddle point solution and what it guarantees?
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Explain briefly the important factor to be considered in the formulation and solution of an inventory model.
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What is finite population models?
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Explain briefly the Monte Carlo simulation.
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Part B
Minimize Z = 4X1 + X2 subject to:
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What is linear programming (LP)? Explain the procedure to construct the LP model with a suitable example?
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Explain in detail the unbalanced transportation problem. What are its limitations?
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Explain the travelling salesman problem with a suitable example.
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Explain the procedure of sequencing for n jobs through three machines.
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Explain group replacement of items/components with a suitable example.
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The following data describe three inventory products:
| Product (i) | Set up cost (Ki) (Rs) | Demand rate (Di) (units per day) | Unit holding cost (hi) (Rs) | Storage area (ai) (m2) |
|---|---|---|---|---|
| 1 | 1200 | 6 | 30 | 1 |
| 2 | 800 | 3 | 12 | 0.8 |
| 3 | 2000 | 4 | 18 | 1.2 |
The total available storage area is 36m2. Determine the optimal inventory policy.
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Explain the theory of the stochastic model when demand is a continuous variable with an example.
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Explain in detail the application of PERT in mining industry with suitable examples.
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Poisson arrivals and exponential service times.
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Applications of simulation to queuing.
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