A large class of problems of sequential decision-making can be modeled as Markov or Semi-Markov Decision Problems, which can be solved by classical methods of dynamic programming. However, the computational complexity of the classical MDP algorithms, such as value iteration and policy iteration, is prohibitive and will grow intractably with the size of problems. Furthermore, they require for ea...

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...

The definition of reliability may not be readily applicable for repairable systems. Our recent work has shown that multiple metrics are needed to fully account for the performance of a repairable system under uncertainty. Optimal tradeoffs among a minimal set of metrics can be used in the design and maintenance of these systems. A minimal set of metrics provides the most information about the s...

the objective of this study was to determine the optimum replacement strategy using dynamic programming for dairy herds in fars province. a dairy cow is kept several lactations for milk production in the herd. after spending several lactations, milk production gradually begins to decline, while animal health problems rises simultaneously. so one of the most important management decisions of dai...

This paper presents the effects of a free-repair warranty on the periodic replacement policy in discrete time process. Consider a repairable product that should be operating at the time over an indefinitely long operation cycle n (     , 2 , 1 n ); under the discrete-time periodic replacement policy, a product is preventively replaced at pre-specified operation cycles    , 3 , 2 , N N N ...

This investigation deals with the transient analysis of the machine repair system consisting of M-operating units operating under the care of single repairman. To improve the system reliability/availability, Y warm standby and S cold standby units are provided to replace the failed units. In case when all spares are being used, the failure of units occurs in degraded fashion. In such situation ...

in this article, decisions about price and stock allocation for a seller with multiple customer classes are analyzed. with each customer arrival, the seller needs to decide about accepting or rejecting the customer’s demand by considering the stock on hand. in the case of acceptance, one needs to decide about the selling price. after any change in the inventory level, decision about continuing ...