Queueing Theory - A Multifaceted Analytics Tool

Authors

  • V. N. Rama Devi   Department of H&BS, GRIET, Hyderabad, India

Keywords:

Customer’s impatience, Queue, System's performance

Abstract

This paper is to present the Queueing theory as an analytical tool for various real time situations. First, we discuss different types of queues with the concepts vacation, Customer’s impatience, server failure etc. Second, we look into different practical applications. It provides fundamental concepts of queueing models and their role in system’s performance. As we seek to design more and more sophisticated processing systems, Statistical performance evaluation has got lot of significance. The capability to forecast a projected system's per¬formance before one builds it is an extremely cost effective design instrument. In line to this, queueing theory is a tool for analysis of practical problems and has potential applications. Queueing models have wide range of applications in computer communication systems, manufacturing/production systems and inventory systems. There are many extensive works have been done in the Queueing theory over the past five decades. The motivation of this talk is to provide adequate information to analysts, industry people and others who are interested in using queuing theory to model congestion problems and want to locate the details of relevant models.

References

  1. Maike Schwartz(2006),M/M/1 Queueing systems with inventory, Queueing Systems volume 54, pages55–78
  2. Mohammad Safari et al(2011), A queueing system with inventory and mixed exponentially distributed lead times,The International Journal of Advanced Manufacturing Technology volume 53, pages1231–1237
  3. J. Ren, Hualong Xie (2015),Coordinating a Multi-Retailer Decentralized Distribution System with Random Demand Based on Buyback and Compensation Contracts,Journal of Industrial Engineering and Management
  4. Kuo-Hwa Chang(2011),Inventory management in a base-stock controlled serial production system with finite storage space,Mathematical and Computer Modelling ,54(11-12):2750-2759,10.1016/j.mcm.2011.06.063
  5. Stephen C. Graves (1982),The Application of Queueing Theory to Continuous Perishable Inventory Systems,Management Science 28(4):400-406,DOI: 10.1287/mnsc.28.4.400
  6.  Liming Liu, et al (2016), Analysis and Optimization of a Multistage Inventory-Queue System, Management Science.50(3); 365-380.
  7. S. M. Seyedhoseini et al (2015), Application of queuing theory in inventory systems with substitution flexibility,Journal of Industrial Engineering International volume 11, pages37–44
  8. Ning Zhao  et al (2009),A queueing-inventory system with two classes of customers, International Journal of Production Economics,Volume 129, Issue 1, January 2011, Pages 225-231
  9. Berman, O, Sapna K.P(2001). Optimal control of service for facilities holding inventory. Computers and Operations Research. 28 (5); 2001: 429–441
  10. He Q.M, Jewkes E M and Buzacott  J. (2002) Optimal and near-optimal inventory policies for a make to  order inventory-production system.  European Journal of Operational Research. 141; : 113-132.
  11.  Jung Woo Baek, Seung Ki Moon. The M/M/1 queue with a production-inventory system and lost Sales. Applied Mathematics and Computation. 233;  534–544.
  12. Saffari .M, Haji. R (2009),Queueing system with inventory for two echelon supply chain. CIE Int. Conference., 835–838.
  13.  Berman O, Kim, (1999)E. Stochastic models for inventory management at service facilities. Stochastic Models 15(4); 695–718.
  14.  Geetha rani. M  and Elango.C.(2012) Markov Process for Service Facility systems with perishable inventory and analysis of a single server queue with reneging. Stochastic Model, International Journal of  Computer Applications. 44(15); :18-23.
  15. Narayanan V. C, Deepak T. G, Krishnamoorthy A and  Krishnakumar, B(2008). On an (s,S) inventory policy with service time, vacation to server and correlated lead time. Quality Technology and Quantitative Management. 5(2);129–143.
  16. Daniel JK, Ramanarayanan R.(1987)An inventory system with two servers and rest periods. In Cahiers du C.E.R.O Bruxelles: University Libre De Bruxelles. 29;  95–100.
  17. Sivakumar B, Arivarignan G. (2007)An inventory system with postponed demands. Stoch. Anal. Appl. 26(1); 84–97.
  18. Padmavathi B, Sivakumar G and  Arivarignan(2015),  A retrial inventory system with single and modified multiple vacation for server, Ann Oper Res. 233; 335–364. DOI 10.1007/s10479-013-1417-187.
  19. Krishnamoorthy A, Deepak TG, Narayanan V C and Vineetha K.(2006), Effective utilization of idle time in an (s,S) inventory with positive service time. Journal of Applied Mathematics and Stochastic Analysis.
  20. Maike Schwarz et al (2006), M/M/1 Queueing systems with inventory. Queueing systems. 54(1); pp.55-78.
  21. Amirthakodi, M., Radhamani, V.,Sivakumar,B.A (2015), perishable inventory system with service facility and feedback customers, Ann. Oper. Res. 233; 25–55 DOI 10.1007/s10479-015-1821-9.
  22. Nityangini Jhala(2016), Application Of Queuing Theory In Banking Sector, IOSR Journal of Mathematics (IOSR-JM),e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 12, Issue 2 Ver. II (Mar. - Apr. 2016), PP 73-75
  23. Ahmed S. A. AL-Jumaily and Huda K. T. AL-Jobori(2011), Automatic Queuing Model for Banking Applications, International Journal of Advanced Computer Science and Applications(IJACSA), Volume 2 Issue 7, 2011.
  24. B. FILIPOWICZ(2008), Queueing systems and networks. Models and applications, BULLETIN OF THE POLISH ACADEMY OF SCIENCES TECHNICAL SCIENCES Vol. 56, No. 4

IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology

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Published

2017-08-30

Issue

Volume 2, Issue 4, July-August-2017

Section

Research Articles

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How to Cite

[1]
V. N. Rama Devi , " Queueing Theory - A Multifaceted Analytics Tool, IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology(IJSRCSEIT), ISSN : 2456-3307, Volume 2, Issue 4, pp.965-972, July-August-2017.