A contractor owns three excavators of different capacity. He/she wants to dispatch these excavators into three different jobs. The performance of the excavators is measured as the time consumed to perform each job. The data of the time tests are shown as given in the table below. Job time (hour) Job 1 Job 2 Job 3 Excavator 1 5 4 2 4 10 8 3 10 6 3 (a) Draw a network flow diagram. (b) Formulate a mathematical model to obtain the minimum time. (c) Solve this model using the Vogel's approximation model.

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ii) A contractor owns three excavators of different capacity. He/she wants to dispatch these excavators
into three different jobs. The performance of the excavators is measured as the time consumed to
perform each job. The data of the time tests are shown as given in the table below.
Job time (hour)
Job 1 Job 2 Job 3
Excavator
1
5
4
9.
4
10
8
3
10
3
(a) Draw a network flow diagram.
(b) Formulate a mathematical model to obtain the minimum time.
(c) Solve this model using the Vogel's approximation model.
Transcribed Image Text:ii) A contractor owns three excavators of different capacity. He/she wants to dispatch these excavators into three different jobs. The performance of the excavators is measured as the time consumed to perform each job. The data of the time tests are shown as given in the table below. Job time (hour) Job 1 Job 2 Job 3 Excavator 1 5 4 9. 4 10 8 3 10 3 (a) Draw a network flow diagram. (b) Formulate a mathematical model to obtain the minimum time. (c) Solve this model using the Vogel's approximation model.
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