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Minimizing the total number of daily buses in operation

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Odisha State MoBus Depot runs buses as 24hr service. Each bus can operate for 8 hrs successively, and then it is directed to workshop for maintenance and fuel. The minimum number of buses required fluctuate with the time intervals. The desired number of buses during different time interval are given in the following table:

Time Intervals Minimum number of buses required

5 AM - 9 AM 5

9 AM - 1 PM 13

1 PM - 5 PM 11

5 PM - 9 PM 14

9 PM - 1 AM 4

1 AM - 5 AM 3

(a) The depot keeps in view the reduction of air pollution and smog problem. It is required to determine the number of buses to operate during different shifts that will meet the minimum requirement while minimizing the total number of daily buses in operation.

(b) The planner is now trying options of running a bus for either 8-hrs or 12-hrs shifts. If a bus runs for 12 hours, the driver must be paid for the extra hours at 150% of the regular hourly pay. Do you recommend the use of 12-hrs shifts?

Reference no: EM132747961

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