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The supply of a certain good is inspected periodically. If an order is placed of size x>0 (integer), the ordering costs are 8+2.x. The delivery time is zero. The demand is stochastic en equals 1 or 2 with probability ½ . Demand in subsequent periods are independent. The size of an order must be such that (a) demand in a period is always satisfied, and (b) the stock at the end of a period never exceeds 2. The holding costs in a period are 2 per unit remaining at the end of a period. Target is to minimize the expected discounted costs over infinite horizon, use discount factor 0.8.
(a) Give the optimality equations for the Markov decision problem.
(b) Give an LP-model that allows you to determine the optimal policy.
(c) Carry out two iterations of the value iteration algorithm
(d) Choose an odering policy, and investigate using the policy iteration algorithm whether or not this policy is optimal. "
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,
Uncertainly : There is a great uncertainly about economic and general environment. With economic growth uncertainty is also growing's. this makes each decisions costlier
#question.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
Maximize w = 5x -2y +3z subject to 2x +2y -z>=2 y + 3z
Maximize p = (3)x + 2y subject to 2x + y 3x + 4y >= 12
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 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
management wants to know how many supervisors should be hired, and what could be the optimum workload distribution to be applied, given a number of constraints
NARROWING THE RESEARCH PROBLEM You have read how from a general topic we have arrived at the definition of the problem to be studied. Now we have to narrow it down furthe
Limitation The report should also point out the main limitation of the research reported therein. This will be helpful to the reader who can form his own opinion
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