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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. "
Cohen Chemicals, produces two types of photo-developing fluids. The first, a black and white picture chemical, costs Cohen $2500 per ton to produce. The second, a colour photo chem
Demerits a.It cannot be used in the case of bi variate distribution. b.If the numbers of items are greater than say 30, the calculation becomes tedious and requ
Q2. Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment. Which operator will have no assign
Solve by Steps for Two-Phase Method Max Z = 5x 1 + 8x 2 Subject to 3x 1 + 2x 2 ≥ 3 x 1 + 4x 2 ≥ 4 x 1 + x 2 ≤ 5 & x 1 ≥ 0, x 2 ≥ 0 Answe
Maxz=3x1-2x2 St x1 -x2>_0, 3x1-x2 _0
An operation is a combination of different actions dealing with raw materials( e, g, men and machines) which form a structure from which an action with regard to broader ob
Frequency Distribution Graphs Frequency distribution graphs may be histogram frequency polygon frequency curve ogive curve. 1. Histogram The histogram is draw f
#Solve the following Linear Programming Problem using Simplex method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0
LIMITS OF TRANSPOTATION PROBLEM
STANDARA DEVIATION Standard deviation is the square root of the arithmetic average of squares of all the deviations from the mean. In short it may be defined as th
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