question archive A local logistics company would like to schedule its drivers to minimize the number of drivers used to cover the requirements over all seven days of the week

A local logistics company would like to schedule its drivers to minimize the number of drivers used to cover the requirements over all seven days of the week

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A local logistics company would like to schedule its drivers to minimize the number of drivers used to cover the requirements over all seven days of the week. The company has a policy to give each employee two consecutive days off every week. The daily estimated requirements over the week are as follows:

Day Mon Tue Wed Thu Fri Sat Sun

Requirements 6 3 5 4 6 3 3

 

Prepare schedule that minimizes the total number of drivers needed and the amount of slack capacity. In case of ties for assignment, it is preferred to give weekend days (i. e., Saturday and Sunday) off. Identify the slack capacity for each day of the week. In addition, please identify the number of people working less than full-time (i, e., working less than five days a week). 

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