Int. J. of Industrial and Systems Engineering   »   2013 Vol.13, No.4

 

 

Title: Optimisation of single-queue service delivery systems using a Markovian approach

 

Authors: Mohammad M. Hamasha; George Rumbe; Mohammad T. Khasawneh

 

Addresses:
Department of Systems Science and Industrial Engineering, State University of New York at Binghamton, Binghamton, NY 13902, USA
Department of Systems Science and Industrial Engineering, State University of New York at Binghamton, Binghamton, NY 13902, USA
Department of Systems Science and Industrial Engineering, State University of New York at Binghamton, Binghamton, NY 13902, USA

 

Abstract: Service delivery systems, such as banks and airport checking terminals, are faced with the daunting task of processing an increasing demand of customers. At the same time, customers have to make accept, reject or reprocess decisions for the service being offered (when given a choice). Singleserver systems are simple and can be utilised as preliminary models, but most organisations generally use multi-server service delivery systems, which require more complex modelling. Modelling of the systems state using Markovian and queuing models provides a more robust approach to better understand the dynamics of the service delivery system, thereby enabling improved services based on anticipated demand variations. In addition, it provides a means to ensure an effective cost minimisation and an increased profit for the service delivery organisation. Therefore, this research proposes a Markovian-based conceptual model to optimise general service delivery systems. To illustrate the model, a numerical example for both single- and multi-server service delivery systems to determine the optimum system parameters is presented and solved. The results obtained showed that the net profit is very sensitive to both the service and arrival rates, among other parameters.

 

Keywords: Markov chains; modelling; service delivery systems; single server systems; multi-server systems; queuing models; arrival rates; service rates; transition probabilities; absorption probabilities; service system optimisation; profit optimisation models.

 

DOI: 10.1504/IJISE.2013.052608

 

Int. J. of Industrial and Systems Engineering, 2013 Vol.13, No.4, pp.424 - 441

 

Available online: 14 Mar 2013

 

 

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