PROFESSOR L. G. M. BAAS BECKING

Lourens G. M. Baas Becking (1895-1963). Inspirator for many (micro)biologists.

having been the habitat of three outstanding founders of modern microbiology: Anthony van Leeuwenhoek in the 16th century, Martinus W. Beijerinck at the end of the 19th century and later in this century his successor in the chair of microbiology Albert J. Kluyver. Lourens G. M. Baas Becking might have become a fourth name in this honourable series had he continued his studies at the technical u...

'Everything is everywhere, but, the environment selects'; what did Baas Becking and Beijerinck really say?

CORRELATION OF INTERDEPARTURE TIMES IN M / G / l AND M / G / l / K QUEUES

Correlation of consecutive interdeparture times characterizes the output process in a queueing system. We present a recursive procedure for calculating the joint distribution of an arbitrary number of consecutive interdeparture times in M/G/1 and M/G/l /K queues. We then obtain explicitly the covariances of nonadjacent interdeparture times, and display the correlation coefficients that reveal t...

Professor G. R. Hargreaves

DISTRIBUTION PROPERTIES OF DISCRETE CHARACTERISTICS IN M/G/l AND GI/M/l QUEUES

It has been shown by many authors that distribution properties of some characteristics in queues are inherited from those of the service times. For instances, Keilson (1978) showed that the length of a busy period in an M/G/l queue has a completely monotone density if so does the service time, Shanthikumar(1988) proved that the waiting time distribution in a GI/G/l queue is DFR if so is the ser...