A hospital employs volunteers to staff reception desk between 8.00 A.M. and 10.00 P.M. Each volunteer works three consecutive hours expect for those starting at 8.00 PM, who work for two hours only. The minimum need for volunteers is approximated by a step function over 2-hour intervals starting at 8.00 A.M as 8,6,7,6,4,6,8. Because most volunteers are retired individuals, they are willing to offer their services at any hour of the day (8.00 A.M. to 10.00 P.M.). However, because of the large number of charities competing for their services, the number needed must be kept as low as possible. Develop LP model for an optimal schedule for the start time of the volunteers
A hospital employs volunteers to staff reception desk between 8.00 A.M. and 10.00 P.M. Each volunteer works three consecutive hours expect for those starting at 8.00 PM, who work for two hours only. The minimum need for volunteers is approximated by a step function over 2-hour intervals starting at 8.00 A.M as 8,6,7,6,4,6,8. Because most volunteers are retired individuals, they are willing to offer their services at any hour of the day (8.00 A.M. to 10.00 P.M.). However, because of the large number of charities competing for their services, the number needed must be kept as low as possible. Develop LP model for an optimal schedule for the start time of the volunteers
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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A hospital employs volunteers to staff reception desk between 8.00 A.M. and 10.00 P.M. Each volunteer works three consecutive hours expect for those starting at 8.00 PM, who work for two hours only. The minimum need for volunteers is approximated by a step function over 2-hour intervals starting at 8.00 A.M as 8,6,7,6,4,6,8. Because most volunteers are retired individuals, they are willing to offer their services at any hour of the day (8.00 A.M. to 10.00 P.M.). However, because of the large number of charities competing for their services, the number needed must be kept as low as possible. Develop LP model for an optimal schedule for the start time of the volunteers.
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