Note on Practical Dynamic Programming
نویسنده
چکیده
Since we convert the original sequential problem into a collection of small problems, it is important to make sure that the solution to each of the small problems is actually optimal in the original problem. In other words, the optimal choice in each of the two-period problem must be globally optimal to justify the transformation. Richard Bellman, the inventor of the dynamic programming method, calls it the Principle of Optimality.
منابع مشابه
Dynamic Multi Period Production Planning Problem with Semi Markovian Variable Cost (TECHNICAL NOTE)
This paper develops a method for solving the single product multi-period production-planning problem, in which the production and the inventory costs of each period arc concave and backlogging is not permitted. It is also assumed that the unit variable cost of the production evolves according to a continuous time Markov process. We prove that this production-planning problem can be Stated as a ...
متن کاملCost Analysis of Acceptance Sampling Models Using Dynamic Programming and Bayesian Inference Considering Inspection Errors
Acceptance Sampling models have been widely applied in companies for the inspection and testing the raw material as well as the final products. A number of lots of the items are produced in a day in the industries so it may be impossible to inspect/test each item in a lot. The acceptance sampling models only provide the guarantee for the producer and consumer that the items in the lots are acco...
متن کاملA SHORT NOTE ON THE RELATIONSHIP BETWEEN GOAL PROGRAMMING AND FUZZY PROGRAMMING FOR VECTORMAXIMUM PROBLEMS
A theorem was recently introduced to establish a relationship betweengoal programming and fuzzy programming for vectormaximum problems.In this short note it is shown that the relationship does not exist underall circumstances. The necessary correction is proposed.
متن کاملApproximate Incremental Dynamic Analysis Using Reduction of Ground Motion Records
Incremental dynamic analysis (IDA) requires the analysis of the non-linear response history of a structure for an ensemble of ground motions, each scaled to multiple levels of intensity and selected to cover the entire range of structural response. Recognizing that IDA of practical structures is computationally demanding, an approximate procedure based on the reduction of the number of ground m...
متن کاملOPTIMIZATION OF A PRODUCTION LOT SIZING PROBLEM WITH QUANTITY DISCOUNT
Dynamic lot sizing problem is one of the significant problem in industrial units and it has been considered by many researchers. Considering the quantity discount in purchasing cost is one of the important and practical assumptions in the field of inventory control models and it has been less focused in terms of stochastic version of dynamic lot sizing problem. In this paper, stochastic dyn...
متن کاملMathematical Programming Approach To Allocate Local Or National Resources For Bridge Maintenance Rehabilitation & Replacement Planning (RESEARCH NOTE)
Today’s, the transportation facilities such as terminals, street, bridge, etc, represent the major investment in highway network. Every year tremendous resources should be invested to maintain these facilities. Among them, the Bridge Management System (B.M.S.) has been necessitated by large imbalance between extensive bridge repair and maintenance needs and limited available budget. So the main...
متن کامل