lp-model and markov decision problem, Operation Research

Assignment Help:

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. "

 


Related Discussions:- lp-model and markov decision problem

Linear Programming , A Paper mill produces two grades of paper viz. X and ...

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

Data collection-requirement gathering methods, Data Collection / Requiremen...

Data Collection / Requirement Gathering Methods 1. Discuss about the data collection or requirements gathering methods that will be used to conduct the research. 2. Discus

Experimental method, In this method variables beings studied are contro...

In this method variables beings studied are controlled by the investigator. In other the effect of one variable is observed while other relevant variables are held constant

Linear Programming, A paper mill produces two grades of paper viz., X and Y...

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

Short question, write down any two assumption of L.P

write down any two assumption of L.P

LPP FORMULATION., A paper mill produces two grades of paper viz., X and Y. ...

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

Solve lpp question graphically, A producer of furniture manufactures two pr...

A producer of furniture manufactures two products - tables and chairs. Processing of these products is done on two machines A and B. A chair needs 2 hours on machine A and 6 hours

Rules regarding the table structure, Rules  Regarding the Table  Structur...

Rules  Regarding the Table  Structure a. Table Number: When a number  of tables  are constructed serial number of the tables  should  be given  to each table. b. Title Th

Simple method, Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 4 X...

Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 4 X1+ X2 2 X1, X2 0on..

Operation research, Discuss the methodology of operation research

Discuss the methodology of operation research

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd