APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY A
Civil Department)
(Water Resources and Hydroinformatics)
SECOND SEMESTER M.TECH. DEGREE EXAMINATION APRIL 2018
07-CE-6402 WATER RESOURCES SYSTEMS ENGINEERING
Time:3 hours Max. Marks: 60
Answer all six questions. Part of each question is compulsory.
Answer either part or part of each question
Module 1
1a Briefly describe the different types of problems in system analysis 4
Answer b or c
1b What are the steps involved in system approach? Explain by citing a water resources problem 5
1c Explain the different techniques used in water resources system analysis? 5
Module 2
2a
What is meant by optimisation? What is the relevance of simulation in optimisation
4
Answer b or c
2b On the basis of a typical water resources decision making problem explain mathematical
modelling and how do you set the objective function and constraints
5
2c Domestic water supply standards require that total dissolved solids shall not exceed
800 ppm, sulphate content shall not be more than 250 ppm and chloride content shall not
exceed 1000 ppm. The total water requirement of the area is 2 lakh lit/day. Water diverted
from the dam through the canal cannot exceed 50,000 lit/day. As per the stipulations of govt.
at least 30% of the total water consumed should be reclaimed from the waste water.
Formulate the problem as LPP to optimize the cost using the following data.
Details Sources of water
Canal Reclaimed
waste
Desalinized
water
Local
Source
Cost (Rs/lit/day) 0.2 0.5 0.9 0.1
TDS 720 610 500 630
Sulphate 320 340 28 160
Chloride 120 25 20 50
5
Module 3
3a Define (i)global local maxima/minima and saddle point. concave functions 4
Answer b or c
3b Using the method of Lagrangian multipliers, solve − −
16, 15
5
3c Examine the following functions for convexity/concavity and determine the extreme values
and their nature − 6
−
5
Module 4
4a Write the steps involved in solving a linear programming problem using simplex method 4
Answer b or c
4b Solve the following LPP by Simplex −
− −2, − 0
5
4c Using Big M Simplex method
10, − 0
5
Module 5
5a Write short note on stage and state Bellman's principle of optimality 5
Answer b or c
5b A subsystem of Godavari river basin has one existing reservoir and two others are proposed
on the main stream. The available total resource is 800 units after tribunal award. Minimum
of 200 units are to be allocated to the existing reservoir to satisfy riparian rights. The net
benefits for different levels of supply to the three reservoirs are given below. Determine the
optimum allocation and benefit.
Supply (Units) Net benefits in lakh of rupees/year
No. 1 (existing) No.2 No.3
100 150 180 210
200 350 380 450
300 480 550 580
400 600 720 700
500 700 870 810
600 790 1000 920
700 750
7
5c Find the minimum value of the function − − 5 in the interval by
Fibonacci Method. Do 5 iterations, € =0.1
7
Module 6
6a Write short note on Amortisation Depreciation sinking fund 5
Answer b or c
6b
Using the equivalent annual worth method, compare and select from the following machines
which arehaving different life spans at an interest rate of 9.25% per year.
Particulars Machine 1 Machine 2
Initial purchase price
Annual operating cost for the first five years
Annual operating cost for the remaining useful life
Expected salvage value
Annual Revenue
Useful life 5 years 10 years
7
6c Find the amount credited towards loan repayment in the 5th year if a person borrows 10 lakh
at 10.23% interest rate for 10 years. What is the percentage of repayment done towards capital
by the end of fifth year. If he is able to repay an additional amount of Rs.50,000/- from the
sixth year onwards, what is his savings in the total interest to be paid?
7