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Corporate Maftacemea'
Course ,Part Examiftation ,
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Total No. of Questions-6] [Total No. of Printed Pages-4 .
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Time Allowed-3 Hours Maximum Marks-100
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Answer any five questions.
Marks
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1. (a) Bt"iefly explain the functions that an operations management department is
expected to perform in a modern organisation.
(b) The product structure and the lead time for a finished product "X" are given 12
below:
X, LT = 2
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P(l), LT, = 3 Q(2), LT = 1
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= = I
R(3), LT 3 8(2), LT 3 P(2), LT = 3
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R(3), LT = 3 8(2)" LT = 3
If 100 units of X are required in week 12 and if none of the components,
sub-assemblies and the end-product are either on hand or on order, compute
the amount and dates of the planned order releases for all the components
and sub-assemblies. Assume that there is no particular order s,ize and
theref6re all the order quantities are lot for lot.
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2. (a) Define facilities layout and explain its objectives. 5
(b) Given the information provided in the accompanying 'network diagram,
determine each of the following:
(i) The length of each path. 3
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(ii) The critical path. 2
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(iii) The expected length of the project.
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(iv) Amount of slack time for each path. 8
Start
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3. (a) Write an e~planatory note on six sigma quality control.
(b) Prembai undertakes knitting of sweaters for various shops. She has several 15
helping hands who, besides knitting a~so carry out cleanil!-g, disentangling'
woollen thread, measuring and cutting, sewing ahd customer contact
activities. Bema, an enthusiastic industrial engineer, did an activities
sampling (work sampling) study and came ~p with the following data:
Activity No. of Observations
Kni tting . 120
Cleaning 40
,
75
Disentangling
Measuring and Cutting 20
Sewing 20
Speaking to customers 25
Total no. of observations 300
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Hema rated the help she had observed at 95 for the disentangling activity
and 100 for the knitting activity. If at the end of the four-day (36 work hours) -
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study, Hema found that the helping hand had disentangled 2.3 kg of Woollen
thread and knitted a two-met(3r-Iength equivalent, what are the standard
times for these activities? Take total allowances at 25 per cent.
If Prembai gives the work of disentangling woollen thread to a helper for four
hours, how much wool should be disentangled?
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4. (a) Given the information below, compute the efficiency and the utilisation of the 5
vehicle repair department:
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Design capacity 80 trucks per day
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Effective capacity 40 trucks per day
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Actual output 36 units .per day.
(b) An activity is known to have an 80 percent learning curve. It has just 5
taken a worker 10 hours to produce the first unit. Determine expected
completion times for these units: the 2nd, 4th, 8th and 16th (note successive
doubling of units).
(c) A lab orders a number of chemicals from the same supplier every 30 days.
The assistant manager of th~ lab must determine' how much of one of
these chemicals to order. A check of stock revealed that 11.25,millilitre
jars are on hand. Daily usage of the chemical is approximately normal
with a mean of 15.2 ml per day and a stan<;iard deviation of 1:6 ml per
day. The desired service level for this chemical is 95 percent.
(i) How may bottles of the chemical should be ordered? 6
(ii) What is the average amount of safety stock of the chemicai ? 4
5. (a) In a Private Hospital, one of the specialist Doctor examines patient at the 8
rate of 25 minutes per patient.
A study found that the patient arrival rate is 15 patient per hour. Considering
arrival follows position and service exponential, find:
(i) Utilisation of the doctor.
(ii) Average No. in the waiting line,
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(4)
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Average No. in the system.'
. (iii)
(iv) Average waiting time in the line.
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(v)Average waiting time in the system, including service.
(b) Customers arrive at a bakery at an average of 18 per hour on week day
mornings. The arrival distribution can be described by a poison distribution
with a mean of 18. Each clerk can serve a customer in an average of four
minutes, and this time can be described by an exponential distribution
with a mean of 4.0 minut~s.
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CD What are the arrival and service rat~s ?
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(ii)Compute the average number of customers' being served at any time.
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(iii)Suppose ithas been determined that the average number of customers
waiting in lineis 3.6.Compute the average number of customers in the
system (i.e.w,aiting in lineor being served),the average time customers
waiting in line and the average time in the system.
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(iv) Determine the system utilisation for M ==2, 3 and 4 servers.
6. Write short notes on any five of the following: 5x4=20
(i) Scheduling
(ii) Productivity and Competitiveness
(iii), Work study
(iv) Determinants of effective capacity
(v) Value analysis
(vi) Work sampling.
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