This paper derives optimal production-shipment policy for a single-producer multi-retailer integrated inventory model with rework. We assume that a product is manufactured by a producer. All items are screened for quality assurance. Random defective items will be picked up and reworked in the same cycle when regular production ends. Upon entire lot is quality assured, multiple shipments are del...

The use of appropriate inventory control policies is a must in production systems. Production systems are characterised by structural and dynamic complexity. Material and information delays can occur, which may lead to inventory oscillations. In order to handle these dynamics, a system dynamics approach is used. It encompasses inventory control policies on the flow shop, the production network ...

Data on the Internet is sent by packets that go through a network of routers. A router drops packets either when its buffer is full or when it uses the Active Queue Management. Up to the present, majority of the Internet routers use a simple DropTail strategy. The rate at which a user injects the data into the network is determined by Transmission Control Protocol (TCP). However, most connectio...

The approximate solution technique for the main M/M/c retrial queue based on the homogenization of the model employs a quasi-birth-death (QBD) process in which the maximum retrial rate is restricted above a certain level. This approximated continuous-time Markov chain (CTMC) can be solved by the matrixgeometric method, which involves the computation of the rate matrix R. This paper is motivated...

This article analyses a four-dimensional stochastic queueing-inventory system with multiple server vacations and state-dependent arrival process. The can start at random time only when there is no customer in the waiting hall inventory level zero. flow of customers state-dependent. Whenever arriving finds that full, they enter into infinite orbit retry to hall. If least one space hall, orbital ...

In this paper two similar models for the maintenance of a production-inventory system are considered. In both models, an input generating installation supplies a buffer with a raw material and a production unit pulls the raw material from the buffer. The installation in the first model and the production unit in the second model deteriorate stochastically over time and the problem of their opti...

In this paper, a manufacturing system composed by a single-product machine, a buffer and a stochastic demand is considered. A discrete flow model is adopted to describe the system and to take into account the lost demands. The objective of this paper is to determine the optimal production planning taken into account service level. This optimal production planning minimizing the sum of productio...