Solution of certain staff-scheduling problem

Assignment Help Operation Management

Reference no: EM132282542

The formulation and solution of a certain staff-scheduling problem are shown below: MIN M + T + W + R + F + S + N

T + W + R + F + S >= 14

W + R + F + S + N >= 9 M + R + F + S + N >= 8

M + T + F + S + N >= 6

M + T + W + S + N >= 17

M + T + W + R + N >= 15

M + T + W + R + F >= 18 END

Optimal solution found at step: 4 Objective value: 19.0000000

Variable Value Reduced Cost

M 5.000000 .0000000

T .0000000 .0000000

W 11.00000 .0000000

R .0000000 .0000000

F 2.000000 .0000000

S 1.000000 .0000000

N .0000000 .3333333

Row Slack or Surplus Dual Price

2 .0000000 -.3333333

3 5.000000 .0000000

4 .0000000 -.3333333

5 2.000000 .0000000

6 .0000000 -.3333333

7 1.000000 .0000000

8 .0000000 -.3333333

where, M, T, W, R, F, S, N is the number of people starting their five-day work week on Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday respectively.

a) How many people are required on duty on Thursday?

b) Suppose that part-time helpers are available who will work the three-day pattern, Thursday, Friday, and Saturday. That is, if you hire one of them, they will work all three days. These people cost 20% more per day than the ordinary folk who work a five-day week. Let P denote the number of part-timers to hire. Show how to modify the formulation to incorporate this option.

c) Using information from the solution report, what can you say about the (economic) attractiveness of the part-time help?

Reference no: EM132282542

Questions Cloud

Periodically break down and require service : The Acme Machine Shop has five machines that periodically break down and require service. Determine the mean time machines wait to be repaired.

Kim is one of highest paid employees in company : Hal’s first reaction is to note that Kim is one of the highest paid employees in the company.

Describe the impact of the product or brand life cycle : Describe the impact of the product or brand’s life cycle on the role of marketing mix variables

Designed to selectively provide radiation over spectrum : A certain optical instrument is being designed to selectively provide radiation over the spectrum from about 3500 to 6400 Angstrom units

Solution of certain staff-scheduling problem : The formulation and solution of a certain staff-scheduling problem are shown below: MIN M + T + W + R + F + S + N

How to determine and measure available capacity : If it were totally up to you, what industry would you like to study for your group project? Describe how to determine and measure available capacity.

Describe the purpose of scheduling orders : Describe the purpose of scheduling orders. Define and discuss briefly the ethical , moral , rational and economic arguments for CSR.

Company produces variety of wind instruments : The Harmon Music Company produces a variety of wind instruments in its plant in Joliet, Illinois.

Victims of the harm who at present cannot defend themselves : Henry shoe writes “whom does this leave to defend the victims of the harm who at present cannot defend themselves ?

User Account

All Pages