We show that formulating the quantum time of arrival problem in a segment of the real line suggests rephrasing the quantum time of arrival problem to finding states that evolve to unitarily collapse at a given point at a definite time. For the spatially confined particle, we show that the problem admits a solution in the form of an eigenvalue problem of a compact and self-adjoint time of arriva...

Boxma and Groenendijk obtain the pseudo-conservation laws for cyclic server systems, for both the continuous-t ime system with simple Poisson arrivals, and for the discrete-time system. We extend these laws to the continuous-t ime cyclic server system with compound Poisson arrivals. In the process we identify an error in Boxma and Groenendijk 's analysis of the semi-exhaustive service strategy ...

We consider an M/M/c queuing system, which occasionally suffers disastrous failure and all the customers are lost. The repair mechanism starts immediately. When the system is down, the stream of arrivals continue. However the new arrivals become impatient and activate their own timer. If the system is still down when the timer expires, the customer abandons the system never to return. We obtain...

We consider a queueing loss system with heterogeneous skill based servers with arbitrary distributions. We assume Poisson arrivals, with each arrival having a vector indicating which of the servers are eligible to serve it. Arrivals can only be assigned to a server that is both idle and eligible. We assume arrivals are assigned to the idle eligible server that has been idle the longest and deri...

Forecasting hotel arrivals and occupancy is an important component in hotel revenue management systems. In this paper we propose a new Monte Carlo simulation approach for the arrivals and occupancy forecasting problem. In this approach we simulate the hotel reservations process forward in time, and these future Monte Carlo paths will yield forecast densities. A key step for the faithful emulati...

Bitcoin is a electronic payment system where payment transactions are verified and stored in a data structure called the blockchain. Bitcoin miners work individually to solve a computationally intensive problem, and with each solution a Bitcoin block is generated, resulting in a new arrival to the blockchain. The difficulty of the computational problem is updated every 2,016 blocks in order to ...

Disassembly lines are the best way to disassemble products with similar components in large quantities. A disassembly line consists of a series of workstations. However, unlike their assembly counterpart, disassembly lines are affected by factors such as multiple component demand arrivals and end-of-life (EOL) product arrivals, uncertainty in EOL product and component demand arrivals and varyin...

S U M M A R Y The pre-critical wide-angle seismic reflection data collected during the BABEL survey using multireceiver spreads contain high-amplitude P-wave and modeconverted S-wave reflected arrivals. The two phases can be partially separated and their signal-to-noise ratio emphasized by exploiting the multifold nature and the increased sensitivity of velocity analysis afforded by these data ...

Tandem Queues are widely used in mathematical modeling of random processes describing the operation of Manufacturing systems , supply chains, Computer and telecommunication networks. In many of the communication systems the arrivals are time dependent and can be characterized by a non homogeneous Poisson process. In this paper we developed and analyzed three nodes connected in tandem Queue with...

This paper compares the impacts of SARS and human deaths arising from Avian Flu on international tourist arrivals to Asia. The effects of SARS and human deaths from Avian Flu will be compared directly according to human deaths. The nature of the short run and long run relationship is examined empirically by estimating a static line fixed effect model and a difference transformation dynamic mode...