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Page 787 of The Journal of the Operational Research Society Vol. 50, Issue 8 [page]

1999 The Journal of the Operational Research Society  
Using the randomization method to evaluate the non-equilibrium behaviour of PH(t)/PH(t)/1/K queues. Personal communication. Grassmann WK (1977). Transient solutions in Markovian queueing systems.  ...  Fundamentals of Queueing Theory, 2nd ed. John Wiley & Sons: New York. Zhang J (1991). Transient solutions of time-dependent M/M/1 queues. JEEE Trans. on Inform Theory 37: 1690-1696. Sharma OP (1990).  ... 

Performance Evaluation of Controlled Arrival Rate System through Matrix Geometric Method Using Transient Analysis

Wajiha Shah, Syed Asif Ali Shah, Wanod Kumar
2013 Mehran University Research Journal of Engineering and Technology  
The system is modeled with Markovian and phase-type distributions for various internal limits and queue size.  ...  The comparisons of results of transient analysis for Markovian and phase-type controlled arrival rate systems are also done.  ...  Transient analysis is very essential in those queueing systems in which queues never reached at equilibrium [6] .  ... 
doaj:791a44582d5a4cbc86559a931c9442b1 fatcat:taocj5jmzzfvhe3kbrdfda5av4

Transient solution of a Markovian queuing model with heterogeneous servers and catastrophes

S. Dharmaraja, Rakesh Kumar
2015 Quarterly Journal of the Operational Research Society of India (OPSEARCH)  
We use the generating function technique to derive the transient solution of the model in a direct way.  ...  In this paper, we study the Markovian queuing system with heterogeneous servers and catastrophes.  ...  Based on this observation, we derive the transient solution for the state probabilities of the heterogeneous multiserver Markovian queueing system subject to catastrophes by defining a suitable probability  ... 
doi:10.1007/s12597-015-0209-6 fatcat:dnkcigqvbjguxantfda7bmmoee

Page 5604 of Mathematical Reviews Vol. , Issue 93j [page]

1993 Mathematical Reviews  
earlier results on transient solution of Markovian queueing models.” 93j:60149 60K25 90B22 Sigman, Karl (1-CLMB-I) Light traffic for workload in queues.  ...  Summary: “Some of the known results in transient behaviour of the Markovian queueing models such as the distribution of the number X(t) of units in the system at time ¢, the joint distribution of the length  ... 

9. Queues, storage and inventories

Sharda, Indu Garg
1984 Stochastic Processes and their Applications  
The procedure is applicable to the Markovian queueing systems and for systems like M/G/ 1, Gl/M,/s, M'"'/G/ I etc, where one can identify an imbedded Markov chain in the underlying process.  ...  One of the interesting problems in the study of queueing systems is the control of queues.  ...  A solution is obtained by solving the difference equations recursively. Interesting particular cases are studied. 'Transient Behaviour of Markovian Queues with Finite Waiting Spaces O.P.  ... 
doi:10.1016/0304-4149(84)90257-6 fatcat:h3b4lpep7vcqxbqqokse6pluem

9. Queues, storage and inventories

S.S. Rao, U.N. Bhat, K. Harishchandra
1984 Stochastic Processes and their Applications  
The procedure is applicable to the Markovian queueing systems and for systems like M/G/ 1, Gl/M,/s, M'"'/G/ I etc, where one can identify an imbedded Markov chain in the underlying process.  ...  One of the interesting problems in the study of queueing systems is the control of queues.  ...  A solution is obtained by solving the difference equations recursively. Interesting particular cases are studied. 'Transient Behaviour of Markovian Queues with Finite Waiting Spaces O.P.  ... 
doi:10.1016/0304-4149(84)90256-4 fatcat:ghhhaqaht5htfjpqjnkn7elzty

Transient Analysis of a finite capacity Markovian queuing system with feedback, discouraged arrivals and retention of reneged customers

M.S . El – Paoumy
2016 المجلة العلمیة لقطاع کلیات التجارة  
The transient solution of the system, with results in terms of the eigenvalues of a symmetric tri-diagonal matrix.  ...  This paper analyze a finite capacity Markovian feedback queue with discouraged arrivals, reneging and retention of reneged customers in which the inter-arrival and service times follow exponential distribution  ...  Sherif I. [8] obtained the transient solution for a two heterogeneous servers queue with impatient behavior.  ... 
doi:10.21608/jsfc.2016.39233 fatcat:ljylxodvajdkteyaaelsoeqiku

9. Queues, storage and inventories

O.P. Sharma, U.C. Gupta
1984 Stochastic Processes and their Applications  
The procedure is applicable to the Markovian queueing systems and for systems like M/G/ 1, Gl/M,/s, M'"'/G/ I etc, where one can identify an imbedded Markov chain in the underlying process.  ...  One of the interesting problems in the study of queueing systems is the control of queues.  ...  A solution is obtained by solving the difference equations recursively. Interesting particular cases are studied. 'Transient Behaviour of Markovian Queues with Finite Waiting Spaces O.P.  ... 
doi:10.1016/0304-4149(84)90258-8 fatcat:rkitsnslqnfnjd6hdciweywn34

Transient Analysis of a Multi-server Queuing Model with Discouraged Arrivals and Retention of Reneging Customers [chapter]

Rakesh Kumar, Sapana Sharma
2017 Lecture Notes in Computer Science  
In this paper, we study a finite capacity Markovian multi-server queuing system with discouraged arrivals, reneging, and retention of reneging customers.  ...  The transient behavior of the system size probabilities and the expected system size is also studied.  ...  Kumar (2013) obtains the transient solution of an M/M/c queue with balking, reneging and retention of reneging customers.  ... 
doi:10.1007/978-3-319-71504-9_6 fatcat:pz7c7fpv3bcilmglmcstjmokhq

Transient Analysis of Queueing Model

Shyam Sundar Sah, Ram Prasad Ghimire
2016 Journal of the Institute of Engineering  
in the system.  ...  <p>This paper deals with the study of Erlangian queueing system with time dependent framework.  ...  [7] solved transient solution of Markovian queuing networks considering boundary value method (BVMs).  ... 
doi:10.3126/jie.v11i1.14711 fatcat:xdy2uqhkrfgkhi5coakpx3o2hm

Solution of transient markovian state probabilities and rate of approach to equilibrium states

K.P. Chung
1987 Mathematical Modelling  
The differential equations for transient state probabilities for Markovian processes are examined to derive the rate of convergence of transient states to equilibrium states.  ...  There is an acute need to solve the balance equations for large states, particularly for handling computer performance modeling with a network of queues that do not satisfy product form solutions or cannot  ...  The geometrical interpretation used in this work is help ful in understanding the convergence rate of transient Markovian states toward equilibrium states.  ... 
doi:10.1016/0270-0255(87)90572-0 fatcat:wvlb5ol2ufe37dy2nzrhxxfizu

Using the discrete time modelling approach to evaluate the time-dependent behaviour of queueing systems

Dave Worthington, A Wall
1999 Journal of the Operational Research Society  
Using the randomization method to evaluate the non-equilibrium behaviour of PH(t)/PH(t)/1/K queues. Personal communication. Grassmann WK (1977). Transient solutions in Markovian queueing systems.  ...  Queueing Theory in Manufacturing Systems Analysis and Design. Chap- man & Hall: London. De Souza E, Silva E and Muntz RR (1990). Queueing networks: solutions and applications, In: Takagi H (ed).  ... 
doi:10.1057/palgrave.jors.2600783 fatcat:xxik24h35jf55fks7abphh2kyu

Transient Analysis of a Non-empty M/M/1/N Queue an Alternative Approach

A. M. K. Tarabia
2001 Quarterly Journal of the Operational Research Society of India (OPSEARCH)  
It is also shown that the measures of effectiveness such as the first and second order moments of the queue length can be easily obtained in a elegant closed form.  ...  An alternative simple approach to Takâcs [8] procedure , which appears to economize in algebra is given.  ...  Moreover, We succeed in obtaining the various parameters of the system in closed forms. Model and its Analysis Consider a single server Markovian queueing system with finite capacity N.  ... 
doi:10.1007/bf03398648 fatcat:3a5rzk7hqbdblesj53nqfysgpu

Stationary and transient solution of Markovian queues - an alternate approach

R. Sudhesh, L. Francis Raj
2013 International Journal of Mathematics in Operational Research (IJMOR)  
This paper aims at presenting an alternate approach to derive the exact transient solution of Markovian queues.  ...  As a special case the time-dependent system size probabilities and busy period distribution of a classical single server queue are deduced using continued fraction and its power series.  ...  Parthasarathy who initiates this work when he was in IIT Madras.  ... 
doi:10.1504/ijmor.2013.053627 fatcat:a4hza2oc75f3fdfxlpdk2jhjdy

A single-server Markovian queuing system with discouraged arrivals and retention of reneged customers

Rakesh Kumar, Kumar Sharma
2014 Yugoslav Journal of Operations Research  
A reneged customer may be convinced to stay in the queuing system for his further service with some probability, say q and he may abandon the queue without receiving the service with a probability ( 1  ...  If the firms employ certain customer retention strategies, then there are chances that a certain fraction of impatient customers can be retained in the queuing system.  ...  Kapodistria [7] studies a single server Markovian queue with impatient customers and considers the situations where customers abandon the system simultaneously.  ... 
doi:10.2298/yjor120911019k fatcat:2xfykg7zezalji4yp3jloorkca
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