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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 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
An electro-mechanical product for use in a vehicle has been in widespread use for some time and has proved popular with customers, in terms of its operational performance and price
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Scope of operations research
what operation research analysts do not
Maximize Z = 2x - 7y subject -2x + 3y = 3 4x + 5y >= 10 6x + 7y 4x + 8y >= 5
what are the models of operational research?
With practical example
Paired sample sign Test Paired samples sign test is applied to a situation where two sample are taken from two population which have continuous symmetrical distributi
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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