In this paper, we study an unreliable multi-product production/inventory system consisting of N production machines and an assembly machine. The final products are assembled-to-order whereas components are built at N separate production machines on a make-to-stock routine. The objective of our study is to develop an integrated optimal control policy that minimizes the total long-run average cos...

The areas under workload process and under queuing process in a single server queue over the busy period have many applications not only in queuing theory but also in risk theory or percolation theory. We focus here on the tail behaviour of distribution of these two integrals. We present various open problems and conjectures, which are supported by partial results for some special cases.

Manufacturers make production decisions and carry inventory to satisfy uncertain demand. When holding and shortage costs are high, carrying inventory could be even more expensive for a capacitated production system. Recent developments in information technology and sales strategies enabled firms to acquire, collect, or induce advance demand information. We address a periodic-review, stochastic,...

Abstract Under many scenarios where resources may be scarce or a good Quality of Service is requirement, appropriately sizing components and devices one the main challenges. New scenarios, such as IoT, mobile cloud computing, edge computing fog have emerged recently. The ability to design, model simulate those infrastructures critical dimension them correctly. Queuing theory models provide appr...

It is practically significant to research the traffic flow of intersection because the capacity of intersection affects the efficiency of highway network directly. This paper analyzes the traffic conditions of an intersection in certain urban by the methods of queuing theory and statistical experiment, sets up a corresponding mathematical model and compares it with the actual values. The result...

A generic analytical performance model of singlechannel wormhole routers is presented using the M/D/1/B queuing theory. Compared with previous work, the flowcontrol feedback mechanism is studied in detail, and a computing method bases on Markov chain for the flowcontrol feedback probability is proposed. Compared with BookSim, a well-known cycle-accurate Network-on-Chip (NoC) simulator, this mod...