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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. "
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
Method of Calculation of Mean Deviation a. Computation of Mean Deviation Individual Series : The process of computing mean deviation in case of individual series involves
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A company produce three sizes of windows fans small,medium and large. The manager has formulated an LP model for production.
Problem 1 (Problem 23, page 507) At a machine tool plant, five jobs must be completed each day. The time it takes to do each job depends on the machine used to do the job. If a mac
A factory employs unskilled workers earning $135 per week and skilled workers earning $270 per week. It is required to keep the weekly age bill below $24,300. The machine requires
Horton and hunt have given followings nine characteristics of scientific method: 1. Verifiable evidence i e, factual observations which other observers can see and check
Z-Test Prof. Fisher has given a method of testing the significance of the correlation coefficient in small samples. According to this method the coefficient of correlation
what are the models of operational research?
Ask question A Company produces 150 cars. But the production rate varies with the distribution. Production Rate Probability 147 0.05 148 0.10 149 0.15 150 0.20 151 0.30 152 0.15 15
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