# 5f p1 05f p1 f f f f f demand by hour p2 p2 p3

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ctive: Minimize total daily labor cost = \$100 F + \$32 ( P1 + P2 + P3 + P4 + P5) subject to: F + P1 F + P1 0.5F + P1 0.5F + P1 F F F F F Demand by hour + P2 + P2 + P3 + P2 + P3 + P2 + P3 + P3 + P4 + P4 + P5 + P4 + P5 + P4 + P5 + P5 ≥ ≥ ≥ ≥ ≥ ≥ ≥ ≥ ≤ 10 12 14 16 18 17 15 10 12 9:00 - 10:00 10:00 - 11:00 11:00 - 12:00 12:00 - 13:00 13:00 - 14:00 14:00 - 15:00 15:00 - 16:00 16:00 - 17:00 Available full-time tellers 19 LP Formulation for Employee Scheduling Constraints (continued): • Part-time working hours cannot exceed 50% daily required total hours, which is the sum of tellers in each hour. 4( P + P2 + P3 + P4 + P5 ) ≤ 0.50(10 + 12 + 14 + 16 + 18 + 17 + 15 + 10) 1 After simplifying, 4 P1 + 4 P2 + 4 P3 + 4 P4 + 4 P5 ≤ 56 F , P1 , P2 , P3 , P4 , P5 ≥ 0 20 Optimal Solution Employ 10 full-time tellers, and – 2 part-time tellers start at 10 A.M. – 7 part-time tellers start at 11 A.M. – 5 part-time tellers start at noon. at a total cost of \$1448 per day. • There are several alternate optimal solutions. (See the spreadsheet model in worksheet “tellers” in file “Learning Kit.x...
View Full Document

## This note was uploaded on 11/04/2012 for the course IS CB2505 taught by Professor Tommylau during the Spring '12 term at City University of Hong Kong.

Ask a homework question - tutors are online