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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. "
Research and Development: All intellectual activities consciously pursued and systematically completed generate useful information. Research (also Research and Development) is
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Some Guidelines for Bibliography Entries 1. Reference of a Back by One Authors : Mention authors name book title ( in italics hence to be underlined) city publication
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
what is the methodology of operation research?
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Use Big M method to Maximize(Z)=3_(x_1 )+2_(x_2 ) Subject to 3_(x_1 )+?1.5?_(x_2 )=30 x_1+x_2=20 x_1=0 x_2=0
. 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 pape
Determination of effectiveness Measures: Effectiveness measure is a measure of success of a model in representing a problem and providing a solution. It is the connecting link
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