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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
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
Problems based on solution of a given LPP when it has multiple optimal solution: 1. Find the maximum and minimum values of 5x+2y, subject to the constraints -2x-3y ≤ -6
A DRUG MANUFACTURER produces 2 products X1 and X2.X1 needs 2 hours on machine A AND 2 HOURS ON MACHINE B.X2 needs 3 hours on machine A and 1 hour on machine B.If machine A can run
After testing the model and its solution the next step of the study is to establish control over the solution by proper feedback of the information on variables which deviated
a paper mill prodecs 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 in
b. 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
model building is the essence of the operational research discuss
. Explain in brief the phases of Operations Research. 5 +5 = 10 marks (200 - 250 words each) Q3. Solve the following Linear Programming Problem using Simple method. Maximize Z= 3
sOLVE THE FOLLOWING D1 D2 D3 SUPPLY s1 2 2 3 10 s2 4 1 2 15 s3 1 3 1 40 Demand 20 15 30
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