ZIB

Hits per page

hits 1 - 2 | 2 hits

Sorting

Electronic Resource

From the matrix-geometric to the matrix-exponential (1990)

Ramaswami, V.

Springer

Queueing systems 6 (1990), S. 229-260

add to mindlist on the mindlist

Details

ISSN: 1572-9443

Keywords: Method of phases ; Neuts Process ; queues ; matrix-geometric method ; matrix-exponential solution ; duality of queues ; time reversal ; waiting times ; busy period

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science

Notes: Abstract We consider the single server queuesN/G/1 andGI/N/1 respectively in which the arrival process or the service process is a Neuts Process, and derive the matrix-exponential forms of the solution of relevant nonlinear matrix equations for such queues. We thereby generalize the matrix-exponential results of Sengupta forGI/PH/1 and of Neuts forMMPP/G/1 to substantially more general models. Our derivation of the results also establishes the equivalence of the methods of Neuts and those of Sengupta. A detailed analysis of the queueGI/N/1 is given, and it is noted that not only the stationary distribution at arrivals but also at an arbitrary time is matrix-geometric. Matrix-exponential steady state distributions are established for the waiting times in the queueGI/N/1. From this, by appealing to the duality theorem of Ramaswami, it is deduced that the stationary virtual and actual waiting times in aGI/PH/1 queue are of phase type.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02411476

Permalink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

Electronic Resource

Photolabeling studies of polymer-cell surface interaction. Evaluation of 3-[(4-azidophenyl)dithio]propionic acid as a polymer-bound photolabel (1986)

Ramaswami, V. ; Tirrell, D. A.

Bognor Regis [u.a.] : Wiley-Blackwell

Journal of Polymer Science Part A: Polymer Chemistry 24 (1986), S. 241-253

add to mindlist on the mindlist

Details

ISSN: 0887-624X

Keywords: Chemistry ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: 3-[(4-Azidophenyl)dithio]propionic acid (1a) was prepared in four steps from 4,4′-diamino-diphenyldisulfide. Attachment of 1a to poly[(3-hydroxypropyl)oxirane] was accomplished under very mild conditions via an acid-catalyzed caarbodiimide coupling. Photolysis of polymer-bound 1a with an electronic flash unit proceeded without detectable disulfide bond cleavage. Mild reduction of the disulfide bond of an analogue of 1a which carried no azido group confirmed that 1a should be useful in photolabeling studies of polymer-cell surface interaction.

Additional Material: 6 Ill.