A queuing model with limited waiting room (buffer), batch (burst)Poisson arrivals, and a synchronous single server (transmittion channel)with constant service time (constant transmission rate) is studied. Usingaverage burst length and traffic intensity as parameters, the relationshipsamong buffer size, overflow probabilities, and an approximation to theexpected queuing d...

Queuing models provide an attractive and highly-efficient alternative to simulation for quantifying traffic flow efficiency. Stationary Markovian queuing models in which both inter-arrival times and service times are exponentially distributed have been studied by the National Airspace System (NAS). However, stationary queues cannot account for peaks and valleys in demand that are commonly obser...

This article presents an hybrid priority queuing model based scheduler for real-time traffic differentiation. The proposed scheduler is designed as a mechanism to provide queuing delay differentiation among real-time traffic classes. The novel characteristic of the presented scheduler is the capability to simultaneously try to achieve an upper time limit for queuing delays and, under heavy load...

Queuing theory is the one of the classical mathematical tool for study waiting lines or queues. In queuing theory a mathematical model is constructed to find various queue characteristics like average waiting time, mean queue length and number of the customers etc. Infact, waiting for service in queues has become an integral part of our daily life. Queues are often undesirable as they cost time...

Fifty years ago, the author published a paper in Operations Research with the title, “A proof for the queuing formula: L = ãW ” [Little, J. D. C. 1961. A proof for the queuing formula: L = ãW . Oper. Res. 9(3) 383–387]. Over the years, L = ãW has become widely known as “Little’s Law.” Basically, it is a theorem in queuing theory. It has become well known because of its theoretical and practical...

In 2016, the construction of New Suez Canal was completed, enabling most large-size vessels to pass through and causing more ships queue into canal. As queueing problem at entrance canal anticipated be serious, an optimal non-queueing toll scheme previously established eliminate phenomenon anchorage However, no information about each ship’s arrival time adjustment under is available from previo...

OBJECTIVE The authors previously implemented an electronic heart failure registry at a large academic hospital to identify heart failure patients and to connect these patients with appropriate discharge services. Despite significant improvements in patient identification and connection rates, time to connection remained high, with an average delay of 3.2 days from the time patients were admitte...

A study of occupational race and sex segregation was performed on time series, census data from 1940 to 2000. Modernization / neoclassic economic theories and institutional / queuing theories were tested in the analyses. Modernization theory suggests that over time, occupational segregation will decrease, while institutional/queue theory suggests segregation will not decline due to rigidities a...

 In this paper a single server queuing production system is considered which is subject to gradual deterioration. The system is discussed under two different deteriorating conditions. A planning horizon is considered and server which is a D/M/1 queuing system is gradually deteriorates through time periods. A maintenance policy is taken into account whereby the server is restored to its initial ...