Stationary Analysis and Optimal Control Under Multiple Working Vacation Policy in a GI/M~(a,b)/1 Queue

This paper considers an infinite buffer renewal input queue with multiple working vacation policy wherein customers are served by a single server according to general bulk service(a, b)-rule(1 ≤ a ≤ b). If the number of waiting customers in the system at a service completion epoch(during a normal busy period) is lower than ‘a', then the server starts a vacation. During a vacation if the number of waiting customers reaches the minimum threshold size ‘a', then the server starts serving this batch with a lower rate than that of the normal busy period. After completion of a batch service during working vacation, if the server finds less than ‘a' customers accumulated in the system, then the server takes another vacation, otherwise the server continues to serve the available batch with that lower rate. The maximum allowed size of a batch in service is ‘b'. The authors derive both queue-length and system-length distributions at pre-arrival epoch using both embedded Markov chain approach and the roots method. The arbitrary epoch probabilities are obtained using the classical argument based on renewal theory. Several performance measures like average queue and system-length, mean waiting-time, cost and profit optimization are studied and numerically computed.     

Effect of stimulation of vagus nerves on gastric tissue histamine concentration in albino rats.

2 different time schedules were applied in order to stimulate vagus nerves around the oesophagus at the region of the cardio-oesophageal junction. The result shows a significant reduction in gastric tissue histamine concentration following vagal stimulation, the reduction being more when the duration of stimulation was longer.     

Effect of stimulation of vagus nerves on gastric tissue histamine concentration in albino rats

Summary 2 different time schedules were applied in order to stimulate vagus nerves around the oesophagus at the region of the cardio-oesophageal junction. The result shows a significant reduction in gastric tissue histamine concentration following vagal stimulation, the reduction being more when the duration of stimulation was longer.The authors are grateful to Dr V. Srinivasan, Director, Sarabhai Research Centre, Baroda, India, for donating the animals required for carrying out this work.