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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. "
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
Level of Significance In testing a given hypothesis the maximum probability with which we would be willing to take risk is called level of significance of the test.
Introduction to Probability Distribution By theoretical distribution we mean a frequency distribution which is obtained in relation to a random variable by some mathem
Choose a publicly traded company (NYSE, AMX, or OTC) that interests you. If you don't know how to choose a company, think of IBM, DELL computer, Nike, Apple computer, GM, Ford, Nok
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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 ot grade Y paper in
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
Tied Ranks Equal or Repeated Rank When two or more items have equal values it is difficult to give ranks to them. In that case the items are given the average of the
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