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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. "
Uses of Range a.Range is suitable measure of dispersion when the data are too scattered to justify the computation of a more precise measure of dispersion. b.In rece
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
Q2. 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 assign
A paper mill products two grade of paper viz., X & Y. Because of raw material restriction, it cannot produce more than 400 tons of grade X paper & 300 tons of grade Y paper in a we
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Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0
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a manufacture wants to ship 8 loads of his product as shown below. The matrix gives the mileage from origin to the destination D.
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