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Each day you own 0 or 1 stocks of certain commodity. The price of the stock is a stochastic process that can be modeled as a Markov chain with transition rates as follows
day n+1
100
200
day n
0.5
0.25
0.75
At the start of a day at which you own a stock you may choose to either sell at the current price, or keep the stock. At the start of a day at which you do not own stock, you may choose to either buy one stock at the current price or do nothing. You have initial capital of 200.
Your target is to maximize the discounted value of the profit over an infinite horizon, use discountfactor 0.8 (per day).
a) Define the states and give for each state the possible decisions.b) Formulate the optimality equations.c) Carry out two iterations of value iteration.d) Formulate the L.P.-model to solve this problem. Describe how you can obtain the optimal policy from the LP formulation.e) Choose a stationary policy and investigate using the policy iteration algorithm whether or not that policy is optimal.f) Give the number of stationary policies. Motivate your answer by using the definition of stationary policy.
Consider the LP min ?? = 50??1 + 100??2 3 ??.??. 7??1+2??2=28 2??1+12??2=24 ??1,??2=0 a. A basic solution of the constraint equations of this problem has how many basic variables,
A PAPER MILL PRODUCES TWO GRADES OF PAPER VIZ., X AND Y. BECAUSE OF RAW MATERIAL RESTRICTIONS, IT CANNOT PRODUCE MORE THAN 400 TONS OF GRADE X PAPER AND 300 TONS OF GRADE Y PAPER I
a pipe lis dur for rpair,the repair would cost 10000 and it would last for 3 years.alternatively a new pipe line can be purchase at 30000 for 10 years.assuming 10% depriciation rat
Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assignment
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RANGE Range is the difference between the highest and the lowest value is series. This is the simplest absolute measure of dispersion. Symbolically : R= L- S
A farmer in the Midwest has 1,000 acres of land on which she intends to plant corn, wheat, and soybeans. Each acre of corn costs $100 for preparation, requires 7 worker-days of la
Dual formulation is done for a number of reasons. The solution to a Dual problem provides all essential information about the solution to the Primal problem. A so
Question 1 X Ltd. has Unit C which is not functioning satisfactorily. The following are the details of its fixed assets: Asset Date of acquisiti
definatins and example
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