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CH_16_10th_Edition

# CH_16_10th_Edition - Scheduling CHAPTER 16 SCHEDULING...

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Scheduling CHAPTER 16 SCHEDULING PROBLEMS P1. A construction company has a contract to construct an access ramp from a street to an expressway. The principal activities in the project are shown below, along with the scheduled starting date and the estimated number of working days which each step will require. Starting Working Activity Date days (1) Draw blueprints May 6 10 (2) Build temporary bypass road May 13 5 (3) Build the grade for the access ramp May 20 15 (4) Lay the foundation for the pavement June 3 12 (5) Lay the concrete pavement June 17 5 (6) Paint lines on pavement, etc. June 24 5 (7) Remove temporary bypass road July 1 5 The company works the customary five-day week and observes holidays on Memorial Day (May 27) and on the 4th and 5th of July. Here is a calendar for May, June, and July: May June July S M T W T F S S M T W T F S S M T W T F S 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 a. Construct a Gantt Progress Chart as of May 6, showing the schedule of the activities. List the activities on the vertical axis and count only working days on the horizontal axis (May 6 = 1). b. Assume it is June 10. Here is the history of the project to-date: Drawing the blueprints started on May 6 and took nine working days. Constructing the temporary bypass road took six working days, because of heavy rains. The rains caused a two-day delay in commencing to build the grade, which actually started on May 22, and is incomplete as of June 10. Laying the foundation for the pavement commenced on June 3, and is incomplete as of June 10. Prepare the updated Gantt Progress Chart which shows the status of the access ramp on June 10. P2. The Interstate Biology Machines Company leases equipment to hospitals and laboratory for use in medical tests and research on humans and animals. The company has several bureaus in Cities A, B, C and D, which are staffed by technicians who may be sent to customers’ establishments in the event of difficulty with the equipment. One day, requests for service have been received from customers in Cities, 1, 2, 3, 4 and 5. The distance each service bureau to each customer, one way, is given in the table below in kilometers. Customer 209

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Chapter 16 Bureau 1 2 3 4 5 A B C D 200 100 90 700 50 200 200 100 500 80 400 200 100 40 60 400 60 600 200 90 It is necessary to assign the technicians to the customers so as to minimize the amount of technicians' travel. a. What is the initial table for solving this problem with the assignment method? b. What is the final table? c. Which technician should be assigned to which customers? d. What is the total round-trip distance which the technicians must travel? e. Which customer’s request for service will not be answered?
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