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# 331-06 - Employee Staffing Application Labor Planning...

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Employee Staffing Application: Labor Planning Number of tellers needed varies by time of day Decisions: How many tellers should begin work at various times of the day? Objective: Minimize the personnel cost Hong Kong Bank

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Time Period Min No. of Tellers 9 – 10 10 10 – 11 12 11 – 12 14 12 – 1 16 1 – 2 18 2 - 3 17 3 – 4 15 4 – 5 10 Total minimum daily requirement is 112 labor-hours
Full Time Tellers Work from 9 AM – 5 PM Take a 1 hour lunch break Half the full time tellers take their one hour lunch break at 11:00-12:00 and the other half take it 12:00-1:00 Cost \$90 per day (salary & benefits) Only 12 tellers are available

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Part Time Tellers Work 4 consecutive hours (no lunch break) Can begin work at 9, 10, 11, noon, or 1 Are paid \$7 per hour (\$28 per day) Part time teller hours cannot exceed 50% of the day’s minimum requirement (50% of 112 labor-hours = 56 labor-hours)
Decision Variables F = number of full time tellers (all work 9–5) P 1 = number of part time tellers who work 9–1 P 2 = number of part time tellers who work 10–2 P 3 = number of part time tellers who work 11–3 P 4 = number of part time tellers who work 12–4 P 5 = number of part time tellers who work 1–5

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Objective Function (in \$ of personnel cost) Min 90 F + 28 (P 1 + P 2 + P 3 + P 4 + P 5 ) subject to the constraints: Part Time Hours Cannot Exceed 56 Hours 4 (P 1 + P 2 + P 3 + P 4 + P 5 ) < 56 Minimum Num. Tellers Needed By Hour Minimum Num. Tellers Needed By Hour                                   Time of Day Time of Day F + P1 F + P1
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