Case-dont Bother Me

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    Case Analysis Dont bother me, I cant cope

    Operations Management - 1

    Section B

    Group 7

    A.K. Ashish Anirudh Singh Harender Kumar Kriti Agarwal Saurav Demta Trushant Nagare Vibhu Kapoor

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    Summary and context of the case

    The case deals with developing a plan to meet a new order received by a small assembly shop. The order

    requires increasing the capacity of both the sub-assemblies: Line A and Line B.

    Line A: The capacity of this line has to be increased from 315units/day to 420 units/per day. It employs 7

    workers. The regular wage per worker is Rs.18/hour and the overtime wage is Rs.30/hour. The assembly

    consists of 16 different tasks with a defined precedence relationship. Overtime doesnt lead to any

    rejection rate. Sane, the supervisor of Line A has demanded 2 more workers to meet the 33% increase in

    production requirement.

    Line B: The new order requires the production capacity of this line to increase to 210 units/day. It

    employs 2 workers. Overtime on this line leads to a rejection rate of 1% due to fatigue. The cost of unit

    rejected is Rs.420. Uma, the supervisor of Line B has also 2 more workers to meet the increased

    demand.

    The shop operates 8 hours a day. However, this includes 4 rest periods of 15 minutes each. An overtime

    of 2 hours is possible on both the lines.

    The issue in meeting the increased demand is that both the supervisors have asked for 2 additional

    workers whereas Shantha, the owner has specified that it would not be possible to hire more than 3

    workers on a short notice. Also the cost of training workers is quite high i.e. Rs.6,000.

    It is also not very clear as to why 100% increase in workers is needed to produce 50% more on Line B,

    whereas only 30% increase in workforce is being demanded for an increase of 33% workload on Line A.

    The analysis below deals with process flow diagram and assembly balancing to find out if the supervisors

    are justified in making their demands for additional workers.

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    Assembly Layout/Flow Diagram

    LINE A

    LINE B

    1

    2

    3

    4

    6

    5

    8

    7

    9 10

    11

    12

    13

    14

    15

    16

    b

    a

    c

    d

    e

    f

    g

    h

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    Problems raised and changes/modifications required to resolve the

    problems.Shanta can recruit only 3 workers but each assembly line demanded two additional workers i.e. 4 in

    total. But due to limited budget constraints we can recruit only 3 workers and assume additional

    overtime. We need to decide which sub assembly actually requires two additional workers. Here, weare analyzing the possibility of additional workers in both the sub assemblies and the one in which the

    labor cost is minimum is the most feasible.

    Analysis

    Line A Existing Production 315 Units/Day

    Activity Activity Time (Sec) Immediate Predecessor

    1 30 None

    2 50 None

    3 40 1

    4 50 15 20 2

    6 10 3

    7 10 4,5

    8 20 2

    9 10 6

    10 40 9

    11 20 7

    12 30 7

    13 50 9

    14 50 10

    15 10 1116 40 8,12

    Total Lead Time 480

    Cycle Time for 315 Units / Day = 420 Mins / 315 Units = 1.33 Minutes/ Unit = 80 Seconds / Unit

    No of Work Station required = Lead Time x Prod Units / Available Time = 6 Work Stations

    Presently, Mr. Sane is using 7 workstations against the needed 6 work Stations as following.

    W/S Activities Time (Seconds) Time (Minutes) Idle Time

    (Minutes)

    1 1,3 70 1.16667 0.163333

    2 2,5 70 1.16667 0.163333

    3 4,8 70 1.16667 0.163333

    4 6,9,13 70 1.16667 0.163333

    5 7,10,11 70 1.16667 0.163333

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    6 14,15 60 1 0.33

    7 12,16 70 1.16667 0.163333

    Available Time (Minutes) = 7 W/S x Cycle Time 1.33 Mins = 9.31

    Idle time = 1.31

    Efficiency % = 8 Mins / 9.31 Mins = 85.93

    Line A Desired Production 420 Units/Day

    Cycle Time for 420 Units / Day = 420 Mins / 420 Units = 1 Minutes/ Unit = 60 Seconds / Unit

    No. of Work Station required = Lead Time x Prod Units / Available Time = 8 Work Stations

    w/s Activities Time (Seconds) Maximum Production

    Capacity (# of Units /

    day)

    1 2 50 504

    2 1,5 50 504

    3 3,8 60 420

    4 4,6 60 420

    5 7,9,13 70 360

    6 10,11 60 420

    7 14,15 60 420

    8 12,16 70 360

    With the given nature of certain tasks, we cannot group them in a way that each Work Station can have

    less or equal to 60 Seconds (Cycle Time) of tasks. Thus, Work Stations 4 and 8 would have Bottleneck

    capacity of 360 Units / Day, which is less then desired 420 Units/ Day.

    With Work Stations = 9, following organization would be suitable.

    w/s Activities Time (Seconds) Maximum Production

    Capacity (# of Units /

    day)

    1 1 30 504

    2 2 50 504

    3 3,5 60 420

    4 4,6 60 360

    5 10 40 420

    6 7,11,12 60 420

    7 9,13 60 420

    8 14,15 60 360

    9 8,16 60

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    Available Time (Minutes) = 9 W/S x 420 Mins each day = 3780

    Utilized time = Lead time 8 Mins x Units Produced 420 Units = 3360

    Efficiency % = Utilized Time / Available Time 88.89

    Line BExisting Production 140 Units/ Day

    Activity Activity Time (Sec) Immediate Predecessor

    A 40 NoneB 50 None

    C 70 A

    D 20 A

    E 50 A

    F 40 B, C

    G 60 E

    H 30 D, F, G

    Lead time 360 6 minutes

    W/S Activities Time (Seconds) Maximum ProductionCapacity (# of Units /

    day)

    1 A, b, c, d 180 140

    2 E, f, g, h 180 140

    Available Time (Minutes) = 2 W/S x 420 Mins each day = 840

    Utilized time = Lead time 6 Mins x Units Produced 140 Units = 840

    Efficiency % = Utilized Time / Available Time = 100.00

    Line BDesired Production 210 Units/ Day

    w/s Activities Time (Seconds) Maximum

    Production

    Capacity (# of

    Units / day)

    Production

    Capacity with 1

    Hour Overtime

    1 A, b, d 110 229 262 (Not used)

    2 C, e 120 210 240 (Not used)

    3 F, g, h 130 194 222 (Used for

    extra 16 Units

    only 36

    Minutes)

    Available Time (Minutes) = 3 W/S x 420 Mins each day = 1260

    Utilized time = Lead time 6 Mins x Units Produced 210 Units = 1260

    Efficiency % = Utilized Time / Available Time 100.00

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    Solution

    On analysis of the given case, as described in subsequent sections following is the

    recommendations. Line A: Solution 1 is suitable, if this order has to be continued for more than 91

    working days.

    # UnitsProduced

    / Day

    Per UnitContributi

    on (Rs)

    Per DayContributio

    n (Rs)

    Regularwages

    (Rs)

    # ofworke

    rs

    Regular hours

    OverTime

    Hour

    s

    Wages /Day +

    Overtim

    e

    Contribution / Day /

    Worker

    420

    (Desired)

    30 12600 18 9 8 0 1296 1256

    420

    (Desired)

    30 12600 18 7 8 2 1428 1596

    315 (Old) 30 9450 18 7 8 0 1008 1206

    Solution 1: This recommendation requires hiring two additional resources, which involves Rs. 12000

    training cost and per day wages is Rs. 1296.

    Solution 2: This solution has continuing with 7 workers with 2 hours of overtime each day. The

    differential wage per day including overtime is Rs. 132 in this case. (12000 / 132 = 90.90)Line B: Solution

    1 is suitable

    # Units

    Produced

    / Day

    Per Unit

    Contributi

    on (Rs)

    Per Day

    Contributio

    n (Rs)

    Regular

    wages

    (Rs)

    # of

    worke

    rs

    Regula

    r hours

    Over

    Time

    Hour

    s

    Wages /

    Day +

    OverTim

    e

    Contributio

    n / Day /

    Worker

    210

    (Desired)

    30 6300 18 3 8 1 529.2 1923.6

    210

    (Desired)

    30 6300 18 4 8 0 576 1431

    140 (Old) 30 4200 18 2 8 0 288 1956

    Solution 1: This recommendation requires hiring one additional resource, which involves Rs. 6000

    training cost. In this case, the Efficiency of operation is maintained at 100%, but involved overtime for 1

    worker for 1 hour. (Actually making 16 extra unit consuming 36 minutes on 3rd workbench), considering

    wages of Overtime and 1% rejection due to fatigue.

    Solution 2: This recommendation requires hiring two additional resources, which involves Rs. 12000

    training cost. But wages exceeds to Rs. 576, more than solution 1.