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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. "
Conflicts of Interest and Related Change in Medical Research The significant increase in private industry drug studies has spawned three other changes in medical research: med
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Name the feature which is not normally associated with a Non-Governmental Organisation (NGO)? Government funded is the organisation.
maximize z=3x1+2*2 subject to the constraints x1+x2=4 x1-x2=2 x1.x2=0
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Example 2 Max Z = 3x 1 - x 2 Subject to 2x 1 + x 2 ≥ 2 x 1 + 3x 2 ≤ 3 x 2 ≤ 4 & x 1 ≥ 0, x 2 ≥ 0 A
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