the administrator of the Vacationers Hospitals recognized the amount of traffic

Question

the administrator of the Vacationers Hospitals recognized the amount of traffic in the

corridors. This prompted her to think about possible problems with the current layout. The core work of the patient

care is performed in an area 300 3 150 feet, as shown in the table below

300 feet by 150 feet

All rooms measure 100 feet by 50 feet. Walking distance from one to another is completed by rectangular working

patterns. Assuming that a trip originates from a center of a department and terminates at the center of an adjacent department, a person would walk 150 feet (25 feet from the center of originating department to hallway, 100 feet on hallway to an adjacent department, and 25 feet from the hallway to the center of the adjacent department). The results of a six months long work sampling study analyzing the movement of VH patients and staff between the departments, averaged per month are presented in a from - to - chart, as shown in the table below

From-to -chart (No. of people in motion per month)

A consultant informed the administrator that every 1,000 extra feet walked (by either patients or staff) cost $5.5 a month in terms of lost productivity (assuming flows and costs are symmetrical among departments). The objective is to minimize unnecessary walking by changing the location of each department on the basis of traffic data. To move a department costs $20,000 per room, except for lab/EKG, operating room, and x-ray, which cost $75,000 each.Determine whether it would be worthwhile to change the layout of the hospital.

I add l in the beginning of --- lexam because the system is not allow me when I remove the l.

Entrance/initial processing Waiting Room lExam Room 1 lExam-Room 2 X-Ray Lab/EKG Operating Room Recovery Room Cast Setting Room

Explanation / Answer

Solution:

There are nine locations to be occupied by nine departments so that the total distance travelled is minimum. As mentioned, the objective is to minimize unnecessary walking by changing the location of each department on the basis of traffic data. Distance between the locations is given in the following matrix:

The maximum flows will give the relative allocation of departments, use CRAFT

Distance matrix as per given flow matrix FromTo 1 2 3 4 5 6 7 8 9 1 0 0 0 0 0 0 0 0 0 2 150 0 0 0 0 0 0 0 0 3 300 150 0 0 0 0 0 0 0 4 150 300 450 0 0 0 0 0 0 5 300 150 300 150 0 0 0 0 0 6 450 150 150 300 150 0 0 0 0 7 300 450 600 150 300 450 0 0 0 8 450 300 450 300 150 300 150 0 0 9 600 450 300 450 300 150 300 150 0 Given flow matrix (no. Of person in motion per month) FromTo 1 2 3 4 5 6 7 8 9 1 0 0 0 0 0 0 0 0 0 2 1900 0 0 0 0 0 0 0 0 3 1750 250 0 0 0 0 0 0 0 4 1600 300 900 0 0 0 0 0 0 5 500 675 750 1005 0 0 0 0 0 6 800 650 880 870 400 0 0 0 0 7 375 0 225 300 325 650 0 0 0 8 0 0 0 0 0 0 1125 0 0 9 0 0 0 0 985 525 0 0 0 4345500 SumProduct of above matrices

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