Optimal Thresholds of an Infinite Buffer Discrete-Time Two-Server System with Triadic Policy

This paper analyzes a discrete-time infinite-buffer Geo/Geo/2 queue, in which the number of servers can be adjusted depending on the number of customers in the system one at a time at arrival or at service completion epoch. Analytical closed-form solutions of the infinite-buffer Geo/Geo/2 queueing system operating under the triadic (0, Q N, M) policy are derived. The total expected cost function is developed to obtain the optimal operating (0, Q N, M) policy and the optimal service rate at minimum cost using direct search method. Some performance measures and sensitivity analysis have been presented.

[1]  J. Ke,et al.  Optimal operating policy for a controllable queueing model with a fuzzy environment , 2009 .

[2]  El Hassan Bezzazi.  Information and Knowledge: Concepts and Functions , 2010 .

[3]  Gang Chen,et al.  Optimal Management of a Removable and Non-Reliable Server in an Infinite and a Finite M/Hk/1 Queueing System , 2004 .

[4]  Jennie Johnson,et al.  Toward Understanding Ethical Decision Making: A Redefined Measure of Intent to Act Ethically , 2010, Int. J. Strateg. Decis. Sci..

[5]  John V. Farr,et al.  Decision-Making Approach for Catastrophic Scenario Selection in Disaster Recovery Planning , 2009, Int. J. Decis. Support Syst. Technol..

[6]  Kuo-Hsiung Wang.  Optimal operation of a markovian queueing system with a removable and non-reliable server , 1995 .

[7]  Daniel E. O'Leary.  Social Media in DMSS System Development and Management , 2011, Int. J. Decis. Support Syst. Technol..

[8]  Gautam Choudhury,et al.  A quorum queueing system with an unreliable server , 2009, Appl. Math. Lett..

[9]  Navneet Vidyarthi,et al.  Cost Framework for Evaluation of Information Technology Alternatives in Supply Chain , 2011, Int. J. Strateg. Decis. Sci..

[10]  B. D. Sivazlian,et al.  Distribution of the busy period in a controllable M/M/2 queue operating under the triadic (0, K, N, M) policy , 1990 .

[11]  Gautam Choudhury,et al.  Optimal design and control of queues , 2005 .

[12]  Douglas A. Druckenmiller,et al.  Philosophical Requirements of a Comprehensive D.I. System for Collaborative Modeling , 2011, 2011 44th Hawaii International Conference on System Sciences.

[13]  Gautam Choudhury,et al.  An M/G/1 retrial queueing system with two phases of service subject to the server breakdown and repair , 2008, Perform. Evaluation.

[14]  Jau-Chuan Ke,et al.  Optimal NT policies for M/G/1 system with a startup and unreliable server , 2006, Comput. Ind. Eng..

[15]  Gautam Choudhury,et al.  An M/G/1 queue with two phases of service subject to the server breakdown and delayed repair , 2009 .

[16]  Kailash C. Madan,et al.  A two-stage batch arrival queueing system with a modified bernoulli schedule vacation under N-policy , 2005, Math. Comput. Model..

[17]  Kuo-Hsiung Wang.  Optimal control of a removable and non-reliable server in an M/M/1 queueing system with exponential startup time , 2003, Math. Methods Oper. Res..

[18]  Daniel J. Power,et al.  Engineering Effective Decision Support Technologies: New Models and Applications , 2013 .

[19]  Julie E. Kendall,et al.  The Impact of Agile Methodologies on the Quality of Information Systems: Factors Shaping Strategic Adoption of Agile Practices , 2010, Int. J. Strateg. Decis. Sci..

[20]  Claus-Peter Rückemann.  Accounting and Billing in Computing Environments , 2010 .

[21]  Chuen-Horng Lin,et al.  Genetic algorithm for optimal thresholds of an infinite capacity multi-server system with triadic policy , 2010, Expert Syst. Appl..

[22]  G. Choudhury,et al.  A Batch Arrival Queue with a Second Optional Service Channel Under N-Policy , 2006 .

[23]  Annie Gravey,et al.  Simultaneity in Discrete-Time Single Server Queues with Bernoulli Inputs , 1992, Perform. Evaluation.

[24]  Adesina Simon Sodiya,et al.  An Integrated Decision Support System for Intercropping , 2010, Int. J. Decis. Support Syst. Technol..

[25]  Małgorzata Pańkowska,et al.  Infonomics for Distributed Business and Decision-Making Environments: Creating Information System Ecology , 2009 .

[26]  Mohan L. Chaudhry,et al.  On Numerical Computations of Some Discrete-Time Queues , 2000 .

[27]  Jau-Chuan Ke.  Two thresholds of a batch arrival queueing system under modified T vacation policy with startup and closedown , 2008 .

[28]  Jérôme Darmont,et al.  Processing And Managing Complex Data for Decision Support , 2006 .

[29]  Kuo-Hsiung Wang,et al.  Optimal control of an M/M/2 queueing system with finite capacity operating under the triadic (0,Q,N,M) policy , 2002, Math. Methods Oper. Res..

[30]  Pascale Zaraté.  Integrated and Strategic Advancements in Decision Making Support Systems , 2012 .

[31]  Jau-Chuan Ke,et al.  Optimization on bicriterion policies for M/G/1 system with second optional service , 2008 .

[32]  Wen Lea Pearn,et al.  (Engineering Computations: International Journal for Computer-Aided Engineering and Software,25(8):783-800)Optimal Randomized Control Policy of an Unreliable Server System with Second Optional Service and Startup , 2008 .

[33]  Jan van der Wal,et al.  Optimal threshold policies in a two-class preemptive priority queue with admission and termination control , 2006, Queueing Syst. Theory Appl..