Control RFEI Research of control systems
Replenishment date:
05.05.2009
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Description
Conditions of the problem:
You work at an aviation plant as a shop manager for the manufacture and installation of observation glasses for aircraft cockpits. The shop received 360 sheets of special plexiglass. The size of one sheet is 7 * 8 (m). From each sheet, it is necessary to cut out blanks of two types: blank A - sized 3 * 6 (m) and blank B - sized 2 * 4 (m). It is necessary to get as many blanks of both types as possible with the least amount of waste. In addition, it is necessary to ensure the completeness of the blanks: for 1 blank A there must be 3 blanks B, that is, the ratio
Procurement A: Procurement B = 1: 3.
Task number 1. Solve the problem of choosing the optimal solution "by eye", that is, by the method of simple everyday enumeration of the most acceptable options for cutting plans.
Task number 2. Solve the problem of choosing the optimal solution by the method of mathematical programming, by constructing a schedule to overgrow the acceptable cutting plans.
Task number 3. Determine the losses that the shop will incur in the first and second solutions, if the cost of 1 square meter of sheet is 1000 rubles. Compare the losses with each other.
Note: losses should be considered both natural waste when cutting sheets, and the number of remaining incomplete blanks A and B.
You work at an aviation plant as a shop manager for the manufacture and installation of observation glasses for aircraft cockpits. The shop received 360 sheets of special plexiglass. The size of one sheet is 7 * 8 (m). From each sheet, it is necessary to cut out blanks of two types: blank A - sized 3 * 6 (m) and blank B - sized 2 * 4 (m). It is necessary to get as many blanks of both types as possible with the least amount of waste. In addition, it is necessary to ensure the completeness of the blanks: for 1 blank A there must be 3 blanks B, that is, the ratio
Procurement A: Procurement B = 1: 3.
Task number 1. Solve the problem of choosing the optimal solution "by eye", that is, by the method of simple everyday enumeration of the most acceptable options for cutting plans.
Task number 2. Solve the problem of choosing the optimal solution by the method of mathematical programming, by constructing a schedule to overgrow the acceptable cutting plans.
Task number 3. Determine the losses that the shop will incur in the first and second solutions, if the cost of 1 square meter of sheet is 1000 rubles. Compare the losses with each other.
Note: losses should be considered both natural waste when cutting sheets, and the number of remaining incomplete blanks A and B.
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