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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. "
Variables A concept which varies is variable. These can be different in quantitative values. For example, weight, height, income are examples of variables. Qualitative phenom
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After having studied as to what is operations research we shall now try to answers why its need has been felt by the industry. As already tainted out science of OR came
Disadvantages of Mode a.It is ill defined. b.It is indefinite and it is some cases impossible to find a definite value. c.It is not based on all observation. So i
Research Project I will assign a project for your class. The following description is an example of such a project. I may select the following company, may select a different c
In a rectangular game, pay-off matrix of player A is as follows: Player B B1 B2 Player A A1 A2 i) Solve the game. ii) Write down the pay-off matrix of B and th
Scattered Responsibility and Authority: In a big industry responsibility and authority of decisions making is scattered throughout the organization and thus the organization.
How do we determine EOQ?
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
Yates Correction for Continuity for 2x 2Tables If any cell frequency in 2x 2 table isles than 5thenfor the application of X 2 test it is pooled with the preceding or suc
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