2017년 3월 9일 목요일

Operations Research Wayne L. Winston Introduction to Mathematical Programming : Applications and Alg - 파일

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Network Models-연습문제.xlsx

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설명 : Operations Research Wayne L. Winston

Introduction to Mathematical Programming : Applications and Algorithms

엑셀풀이

Operations Research Wayne L. Winston

Network Models 연습문제 엑셀풀이

Introduction to Mathematical Programming : Applications and Algorithms

8.2-1 Find the shortest path from node 1 to node 6 in Figure 3.

8.2-6 It costs $40 to buy a telephone from the department

store. Assume that I can keep a telephone for at most five

years and that the estimated maintenance cost each year of

operation is as follows: year 1, $20; year 2, $30; year 3,

$40; year 4, $60; year 5, $70. I have just purchased a new

telephone. Assuming that a telephone has no salvage value,

determine how to minimize the total cost of purchasing and

operating a telephone for the next six years.

8.2-7 At the beginning of year 1, a new machine must be

purchased. The cost of maintaining a machine i years old is

given in Table 5.

The cost of purchasing a machine at the beginning of

each year is given in Table 6.

There is no trade-in value when a machine is replaced.

Your goal is to minimize the total cost (purchase plus

maintenance) of having a machine for five years. Determine

the years in which a new machine should be purchased.Seven types of packages are to be delivered by five

trucks. There are three packages of each type, and the

capacities of the five trucks are 6, 4, 5, 4, and 3 packages,

respectively. Set up a maximum-flow problem that can be

8.3-6 Seven types of packages are to be delivered by five

trucks. There are three packages of each type, and the

capacities of the five trucks are 6, 4, 5, 4, and 3 packages,

respectively. Set up a maximum-flow problem that can be

used to determine whether the packages can be loaded so

that no truck carries two packages of the same type.

8.3-7 Four workers are available to perform jobs 1–4.

Unfortunately, three workers can do only certain jobs:

worker 1, only job 1; worker 2, only jobs 1 and 2; worker

3, only job 2; worker 4, any job. Draw the network for the

maximum-flow problem that can be used to determine

whether all jobs can be assigned to a suitable worker.

8.5-4b Each year, Data Corporal produces as many as 400

computers in Boston and 300 computers in Raleigh. Los

Angeles customers must receive 400 computers, and 300

computers must be supplied to Austin customers. Producing

a computer costs $800 in Boston and $900 in Raleigh.

Computers are transported by plane and may be sent through

Chicago. The costs of sending a computer between pairs of

cities are shown in Table 34.

8.5-5a, b Oilco has oil fields in San Diego and Los Angeles. The

San Diego field can produce 500,000 barrels per day, and

the Los Angeles field can produce 400,000 barrels per day.

Oil is sent from the fields to a refinery, in either Dallas or

Houston (assume each refinery has unlimited capacity). To

refine 100,000 barrels costs $700 at Dallas and $900 at

Houston. Refined oil is shipped to customers in Chicago

and New York. Chicago customers require 400,000 barrels

per day, and New York customers require 300,000 barrels

per day. The costs of shipping 100,000 barrels of oil (refined

or unrefined) between cities are shown in Table 35.

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