• July 19th, 2016

Pert Network, MRP Matrix,

Paper , Order, or Assignment Requirements

Determine the following:

  1. Expected activity times
  2. Earliest start and finish times
  3. Latest start and finish times
  4. Activity Slack
  5. Critical Path

Expected Project duration and standard deviation

 

1)            Arsenal Electronics is going to construct a new $1.2 billion semiconductor plant and has selected four towns in the Midwest as potential sites. The important location factors and ratings for each town are as follows:

Scores (0 to 100)

Location Factor Weight Abbeton              Bayside                Cane Creek         Dunnville

Work ethics        0.18        80           90           70           75

Quality of life     0.16        75           85           95           90

Labor laws/unionization                0.12        90           60           60           70

Infrastructure    0.10        60           50           60           70

Education            0.08        80           90           85           95

Labor skill and education              0.07        75           65           70           80

Cost of living      0.06        70           80           85           75

Taxes    0.05        65           70           55           60

Incentive package           0.05        90           95           70           80

Government regulations              0.03        40           50           65           55

Environmental regulations           0.03        65           60           70           80

Transportation  0.03        90           80           95           80

Space for expansion       0.02        90           95           90           90

Urban proximity               0.02        60           90           70           80

 

Recommend a site based on these location factors and ratings.

 

2)            Sawyer Furniture is one of the few remaining domestic manufacturers of wood furniture. In the current competitive environment, cost containment is the key to its continued survival. Demand for furniture follows a seasonal demand pattern with increased sales in the summer and fall months, culminating with peak demand in November.

The cost of production is $16 per unit for regular production, $24 for overtime, and $33 for subcontracting. Hiring and firing costs are $500 per worker. Inventory holding costs are $20 per unit per month. There is no beginning inventory. Ten workers are currently employed. Each worker can produce 50 pieces of furniture per month. Overtime cannot exceed regular production. Given the following demand data, use Excel Solver to design an aggregate production plan for Sawyer Furniture that will meet demand at the lowest possible cost.

Input:    Beg. Wkrs            10           Regular $16         Hiring    $500

Units/wkr            50           Overtime             $24         Firing     $500

Beg. Inv.              0              Subk      $33         Inventory            $20

Month  Demand               Reg        OT          Subk      Inv          #Wkrs   #Hired  #Fired

Jan         500         500         0              0              0              10           0              0

Feb        500         500         0              0              0              10           0              0

Mar        1000       1,000     0              0              0              20           10           0

Apr         1200       1,000     200         0              0              20           0              0

May       2000       1,000     1,000     0              0              20           0              0

Jun         400         400         0              0              0              8              0              12

Jul           400         400         0              0              0              8              0              0

Aug        1000       1,000     0              0              0              20           12           0

Sep        1000       1,000     0              0              0              20           0              0

Oct         1500       1,500     0              0              0              30           10           0

Nov        7000       3,500     3,500     0              0              70           40           0

Dec        500         500         0              0              0              10           0              60

Total      17,000   12,300   4,700     0              0              246         72           72

 

3)            Complete the following MRP matrix for Item X. Determine when orders should be released and the size of those orders.

Item: X LLC: 0     Period

Lot Size: Min 50 LT: 2       1              2              3              4              5              6              7              8

Gross Requirements                     25           30           56           25           100         40           30           20

Scheduled Receipts                                       50

Projected on Hand          30

Net Requirements

Planned Order Receipts

Planned Order Releases

Release orders in periods 1 through 5 for quantities of 50, 50, 56, 50, and 50 respectively.

4)

 

Fibrous Incorporated makes products from rough tree fibers. Its product line consists of five items processed through one of five machines. The machines are not identical, and some products are better suited to some machines. Given the following production time in minutes per unit, determine an optimal assignment of product to machine:

Machine

Product                A             B             C             D             E

1              17           10           15           16           20

2              12            9           16            9           14

3              11           16           14           15           12

4              14           10           10           18           17

5              13           12            9           15           11

 

5)            The following probabilistic activity time estimates are for a CPM/PERT network.

Time Estimates (days)                   Time Estimates (days)

Activity a              m            b             Activity a              m            b

1              1              2               6            7           1              1.5          2

2              1              3               5            8           1              3              5

3              3              5              10            9           1              1              5

4              3              6              14           10           2              4              9

5              2              4               9           11           1              2              3

6              2              3               7           12           1              1              1

Determine the following:

  1. Expected activity times
  2. Earliest start and finish times
  3. Latest start and finish times
  4. Activity Slack
  5. Critical Path

Expected Project duration and standard deviation.

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