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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. "
Deriving the Solution from the Model: This phase is devoted to the computation of those value of decision variables that maximize or minimize the objective function. Such
Solve by simplex method Maximize Z = 5x 1 + 3x 2 Subject to 3x 1 + 5x 2 ≤ 15 5x 1 + 2x 2 ≤ 10 & x 1 ≥ 0, x 2 ≥ 0 [Ans. Max Z = 235/19
Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0
QUESTION Discuss the major sources of stress and job burnout and outline the strategies for managing stress. QUESTION How can you use the „Johari Window Model? as a
the application areas of linear programming
Bibliography Format a. Introduction : Bibliographies tell readers where they can locate information about a topic. It is a list of sources of information for a repo
#q.2 Q.2 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 a
Determination of effectiveness Measures: Effectiveness measure is a measure of success of a model in representing a problem and providing a solution. It is the connecting link
Requisites of a Good Scientific Methods The essentials of a good scientific methods as summed up by the advisory committee on economic and social research of the council of
MEAN DEVIATION Mean deviation of a series is the arithmetic average of the deviations of various items from the median or mean of that series. Median is preferred
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