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

The following distances and two-way flows are given:

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

b. The biology department has sent the following information and requests to the OM 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-chairpeople, must have windows. Hmust be directly 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 flow list as a computational aid.

Transcribed Image Text:

Northwing 1 2 3 4 S Courtyard 6 7 8 Southwing New biology buikling