Bhavnagar University 2007 M.B.A Operation Research Methods For Hospital Management - Question Paper

M.B.A. MAY 2007
Operation Research Methods For Hospital Management
Time : 3 hours Maximum : 100 marks
part A — (5 ? eight = 40 marks)
ans any 5 ques..
All ques. carry equal marks.
1. Describe briefly the various phases of Operations Research.
2. Solve the subsequent by graphical method
Minimize
subject to constraints

3. Obtain an initial basic feasible solution using VAM method
D E F G Available
A 11 13 17 14 250
B 16 18 14 10 300
C 21 24 13 10 400
Requirement 200 225 275 250
4. Explain in brief about ‘‘Hungarian method’’.
5. Draw the network, provided the subsequent precedence relationship
Event Nos : 1 2, 3 4 5 6 7
Preceded by : start event 1 2, 3 3 4, 5 5, 6
6. A biomedical engineer obtains that the time spent on his jobs has an exponential distribution with mean 30 minutes.
If he repairs equipments in the order in which they came in, and if the arrival of equipments is approximately Poisson with the avg. rate of 10 per 8-hour day, what is biomedical engineering expected idle time every day? How many jobs are a head of the avg. equipments just brought in?
7. Write brief notes on ‘‘Monte Carlo simulation’’ model.
8. Explain the primal and dual relationship in LP issue.
part B — (4 × 15 = 60 marks)
ans any 4 ques..
All ques. carry equal marks.
9. Describe the models and techniques of Operation Research.
10. Solve use simplex method
Minimize
subject to the constraints

11. Briefly the rules of construct network diagrams.
12. The head of the department has 5 jobs, and 5 sub-ordinates and . the number of hours every man would take to perform every job is an follows :
V W X Y Z
A 3 5 10 15 8
B 4 7 15 18 8
C 8 12 20 20 12
D 5 5 8 10 6
E 10 10 15 25 10
How should the jobs be allocated to minimise the total time?
13. (a) Classify the Queuing system.
(b) A clinic has a mean service time of two minutes, while the patients arrive at a rate of 20 per hour. Assuming that there represent rates with a Poisson distribution. Determine
(i) The proportion the doctor will be idle.
(ii) How long the customer will wait before reaching the doctor?
14. The demand for a drug ‘X’ used by the ABC hospital is
a random variable and so is the lead time in respect of
this item. There are defined by the respective probability distributions beneath.
Demand units 0 1 2 3 4
Probability 0.05 0.15 0.30 0.40 0.10

Lead time days 1 2 3
Probability 0.2 0.5 0.3
Assume that the 2 distributions are independent of every other.
(a) Develop a probability distribution of the demand during lead time.
(b) Manually simulate the provided situation for
25 re-order to estimate the demand during lead time.
15. Write the transportation algorithm for MODI method.

Earning:   Approval pending.