Operations research in economics GUIDE. IO 00-1 RIU

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Verification work on discipline "Operations research in economics" (IE 00) RIU
Question №1.
What do you know mathematical methods that help to find optimal solutions in various manufacturing processes?
Question №2.
What are some ways to solve nonlinear programming problems?
Question №3.
What is the essence of dynamic programming?
Question №4.
What is a random process? What is a Markov random process? What kind of Markov processes do you know? Give at least one example for each type of random processes?
Question №5.
In some of the methods of operations research uses the term "saddle point"? What it is? Does it always exist?
Question 6.
To produce two types of products A and B are three types of processing equipment. Per unit of product A used 16 hours equipment type I 8 h equipment type II and 5 parts of equipment of type III. Per unit of product used in 4 hours, equipment type I, 7 hours Equipment Type II and 9 hours of equipment type III. In the manufacture of products enterprise administration may represent hardware of the first type is not more than 784 hours, the second type of equipment - not more than 552 hours, and the equipment of the third type - not more than 567 hours. Profits from the sale of the finished product A is 4 rubles, and the product B - 6 rubles.
1. Formulate a mathematical model of linear programming problem in this condition.
2. Is it a problem of integer programming? Why is that?
3. Solve this problem in any way known to you.
4. Give a verbal answer to the question: "At what release products A and profit of the company will be the greatest?"
Question 7.
Find the top price and bottom price of the game, given matrix A. Enter the optimal strategies of the players and the saddle point, if it exists. Describe in words what the results mean.

1. A =
Question 8.
Manufacturing of parts A and B consists of two operations occurring sequentially machined I and II, and the instrument passage OTC III. Time of each machine tool to make one of the details (in minutes) indicated in the table. With Gantt charts provide an optimal procedure for passing on the details of these transactions.



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