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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 practical example
Sample Assignment for minimum spanning tree problems For the subsequent graph get the minimum spanning tree. The numbers on the branches presents the cost.
impact of operation research
#question.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.
Data Management As your research project progresses you will quickly gather more and more data. These need to be managed in such a way that they can be accesses and
.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
Presentation After the completion of any research project the concept techniques and results of the research projects should be presented to the audience of interes
CONCEPT AND NEED FOR INFORMATION: We shall look at the meaning, of information as also the meaning of other related words such as data, facts, intelligence, advice, knowledge
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
Small Sample The central limit theorem does not work well with small samples even if the population in non Gaussian. So we cannot rely on the central limit theorem
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