six patients are waiting in a hospital emergency room to receive care for variouscomplaints, ranging from a sprained ankle to a gunshot wound. The patients arenumbered in the sequence that they arrived and are given a priority weighting basedon the severity of the problem. There is only one doctor available.Patient 1 2 3 4 5 6Time required 20 min 2 hr 30 min 10 min 40 min 1 hrPriority 1 10 3 5 2 2a. Suppose that the patients are scheduled on an FCFS basis. Compute the meanflow time and the weighted mean flow time, where the weight is the priority numberassociated with each patient.b. Perform the calculations in part (a) for SPT sequencing.c. Determine a sequence different from those in parts (a) and (b) that achieves alower value of the weighted mean flow time.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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six patients are waiting in a hospital emergency room to receive care for various
complaints, ranging from a sprained ankle to a gunshot wound. The patients are
numbered in the sequence that they arrived and are given a priority weighting based
on the severity of the problem. There is only one doctor available.
Patient 1 2 3 4 5 6
Time required 20 min 2 hr 30 min 10 min 40 min 1 hr
Priority 1 10 3 5 2 2
a. Suppose that the patients are scheduled on an FCFS basis. Compute the mean
flow time and the weighted mean flow time, where the weight is the priority number
associated with each patient.
b. Perform the calculations in part (a) for SPT sequencing.
c. Determine a sequence different from those in parts (a) and (b) that achieves a
lower value of the weighted mean flow time.

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