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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. "
Consider the following network where the value on each arc represents the capacity of that arc. Use the augmenting path algorithm to find the value of the maximum flow from node 1
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
Given an inventory system where Yearly demand = 120 units Ordering cost = Sh. 45 Price per unit = Sh. 200 Annual carrying cost = 24% of the unit cost Determine The economic or
On the Basis of Ratio of Change Direction a. Linear Correlation: The correlation between two variables a said to be liner if corresponding to a unit change in th
types of OR ,technique and mathematical system and linear programming system in operation research
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 in
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 in
Sample Assignment for minimum spanning tree problems For the subsequent graph get the minimum spanning tree. The numbers on the branches presents the cost.
job- 1 2 3 4 5 6 7 t1- 3 12 15 6 10 11 9 t2- 8 10 10 6 12 1 3
Question 1 Explain the process of problem identification with an example 2 Interview method involves a dialogue among the Interviewee and the Interviewer. Describe the inter
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