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Chapter 2: Q3OQ. (page 190)

The Dorton University president has asked the OSCM department to assign eight biology professors (A, B, C, D, E, F, G, and H) to eight offices (numbered 1 to 8 in the diagram) in the new biology building

a. If there are no restrictions (constraints) on the assignment of professors to offices, how many alternative assignments are there to evaluate?

b. The biology department has sent the following information and requests to the OSCM department:

Offices 1, 4, 5, and 8 are the only offices with windows.

A must be assigned Office 1.

D and E, the biology department co-chair people, must have windows.

H must be direct across the courtyard from D.

A, G, and H must be in the same wing.

F must not be next to D or G or directly across from G.

Find the optimal assignment of professors to offices that meets all the requests of the biology department and minimizes total material handling cost. You may use the path low list as a computational aid.

Short Answer

Expert verified

Answer

Professors A, B, C, D, E, F, G, and H will be assigned to eight different offices

Step by step solution

01

 Step 1: (a) If there are no restrictions (constraints) on the assignment of professors to offices, how many alternative assignments are there to evaluate

If the professors' assignments are not limited in any way, calculate the possible tasks as described in the following-

The list of available combinations for assigning 8 professors to 8 workplaces is equivalent to 8 factorial

As a result, the total number of options is 8!

And alternatives for the task are available 8! = 40,320.

02

(b) The biology department has sent the following information and requests to the OSCM department

There seem to be multiple alternative assignments that meet the stated requirements when restrictions are present.

Professor C will be assigned to the 2nd office, while Professor B will be assigned to the 7th office, as part of the second design facility

As a result,

A to 1, G to 3, H to 4, E to 5, F to 6, C to 7 or 2, and B to 2 or 7 the way offices are allocated to the professors.

The cost of handling materials is proportional to the distance between two offices. The value of the design can be computed by calculating the distance between both the units per time and the absolute way between offices.

The material handling cost table is given below:

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Most popular questions from this chapter

Some tasks and the order in which they must be performed according to their assembly requirements are shown in the following table. These are to be combined into workstations to create an assembly line. The assembly line operates 7 1鈦�2 hours per day. The output requirement is 1,000 units per day.

Task

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Time (Seconds)

Task

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A

鈥�

15

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12

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B

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15

F

C

7

L

J, K

10

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