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

Application Areas of Linear Programming, what is meant by Application Areas...

what is meant by Application Areas of Linear Programming?

Concept and need for information, CONCEPT AND NEED FOR INFORMATION: W...

CONCEPT AND NEED FOR INFORMATION: We shall look at the meaning, of information as also the meaning of other related words such as data, facts, intelligence, advice, knowledge

Research methodology, Research Methodology 1. Discuss how the researc...

Research Methodology 1. Discuss how the research will be executed to achieve the proposed research objectives. The methodology should be based on the methods that are used in

Examine the future sustainability of business, In your role as a Consultant...

In your role as a Consultant to a renowned organisation or institution, you have been asked to design and submit a research proposal to examine the future sustainability of its bus

Quality circles, advantage of quality circle process

advantage of quality circle process

Multiple objectives- sampling decisions, Multiple  Objective s The sam...

Multiple  Objective s The sample  may vary according  to the  objective of the research. There  may several objectives  of marketing  research so the  sample  size  may vary a

Classification of documents by physical characteristics, CLASSIFICATION OF ...

CLASSIFICATION OF DOCUMENTS  BY PHYSICAL CHARACTERISTICS : Documents of various types have been classified  on the basis of their physical characteristics, familiarity

Meaning of research report - report writing presentation, Meaning of Resear...

Meaning of Research Report Research  report is the process of communicating  the  results  of an investigation it  is a document which  reflect about  the research conducted a

Question, Solve the following Linear Programming Problem using Simple metho...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

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