2010 Question Paper,University Of Pune Question Paper,MODELING TECHNIQUES AND IT FOR OPERATIONS MANAGEMENT,M.B.S./M.M.S. Semester – II

University Of Pune Question Paper
M.B.S./M.M.S. Semester – II Examination, 2010
MODELING TECHNIQUES AND IT FOR OPERATIONS
MANAGEMENT
(Operation Materials Specialization)
(2008 Pattern)
Time: 3 Hours Max. Marks: 70
 N.B. : i) Answer any five questions.
ii) All questions carry equal marks.
iii) Use of calculator is allowed.
1. Explain the steps involved in modeling process and state limitations of modeling
in context of decision making in operations.
2. Find the optimum value of variables of following linear programming problem
using simplex method.
Minimize Z = 25 X + 30 Y
Subject to the constraints
2x + 3y ≥ 30
4x + 3y ≥ 60
and x, y ≥ 0
3. A company manufacturing parts of Air conditioner has to decide on size of the
proposed plant. It has two options available at present.
a) Build a large plant so as to accommodate any possible demand in future
b) Build a small plant to accommodate a low demand and consider the possibility
of expanding when the demand increases.
The management has categorized the demand as low, medium or large with
corresponding probabilities of 0.4, 0.3 and 0.3 respectively. Following is the
data collected.
i) Building large plant would cost 10 crores. it would accommodate any
possible demand.
ii) If a small plant is tobe built, it would cost Rs. 4 crores. It would meet only
low demand and would require expansion for medium or high demand.
iii) In case demand is medium, cost of expansion of small plant would be Rs.
4 crores and for expansion to large plant to meet large demand, expenditure
is estimated to be Rs. 8 crores.
iv) The estimated returns from low, medium, and high demands for large
plant are Rs. 8 crores, Rs. 18 crores and Rs. 22 crores respectively.
v) The estimated returns to be realized for small plant with no expansion,
small expansion and large expansion is 8, 16 and 19 Rs. crores respectively.
a) Draw a decision tree
b) Calculate Expected monetary value and suggest the course of action to
the management.
4. a) Explain with example meaning of priority sequencing rules and their
application.
b) State the procedure for sequencing n jobs 3 machines.
5. A dentist schedules all his patients for 30 minutes appointments. Some of the
patients take more or less than 30 minutes depending on the type of dental work
tobe done. The following summary shows category of work, time required in
minutes and probabilities.
Category service   Time Required in minutes      Probability
Filling                              45                                  0.40
Crown                             60                                   0.15
Cleaning                         15                                    0.15
Extraction                       45                                   0.10
Checkup                         15                                    0.20
Simulate the dentistr’s clinic for four hours and determine average waiting time
for the patients. Use the following random numbers.
40, 82, 11, 34, 25, 66, 17, 79.
6. a) Explain the concept of pynamic programming. How does it differ from linear
programming ?
b) Describe application of design of experiments in managing operations with
examples.
7. Discuss the role of IT in logistics operations.
8. a) Explain key features of software :
MS-project of Prime-vera of any version
b) State prerequisites for effective implementation of ERP.
_________________
B

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