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Phase Wise Supply Chain Model of EOQ with Normal Life Time for Queued Customers: A Computational Approach
Dept. of Mathematics & Statistics (Centre of Excellence on Advanced Computing), Dr.Ram Manohar Lohia Avadh University, Faizabad, UP, India
Dept. of Mathematics & Statistics (Centre of Excellence on Advanced Computing), Dr.Ram Manohar Lohia Avadh University, Faizabad, UP, India
- 1 Dept. of Mathematics & Statistics (Centre of Excellence on Advanced Computing), Dr.Ram Manohar Lohia Avadh University, Faizabad, UP, India
- 2 Dept. of Mathematics & Statistics (Centre of Excellence on Advanced Computing), Dr.Ram Manohar Lohia Avadh University, Faizabad, UP, India
American Journal of Operations Research·Volume 02 (2012)·Pages 296–307·Published 18 September 2012·DOI10.4236/ajor.2012.23036
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Abstract
In this paper, we mainly aim to compute the optimal inventory in the phase wise supply chain for queued customers in the interval of lower and upper bounds with particular life of the items. Important performance measures such as total optimal cost of the system and total expected delivery have also been computed by applying the dynamic programming and Drichlet theorem. Finally, numerical demonstration and sensitivity analysis have also been presented to gain the better perspective of the model.
KeywordsSupply ChainCorrelationNormal Life TimeDynamic Programming
- J. M. Chen and C. S. Lin, “An Optimal Replenishment Model for Inventory Items with Normally Distributed Deterioration,” Production Planning and Control, Vol. 13, No. 5, 2002, pp. 470-480. Hdoi:10.1080/09537280210144446
- Abel, “Availability, Affordability and Accessibility of Food Khartoum,” Geohjournal, Vol. 34, 2004, pp. 253-255.
- S. Osaki, “Stochastic System Reliability Modeling,” Word Scientific Publishing, Co.Pte.Ltd., 1985.
- M. Schwarz, C. Sauer, H. Daduna, R. Kulik and R. Szekli, “M/M/1 Queueing Systems with Inventory,” Queueing System, Vol. 54, No. 1, 2006, pp. 55-78. Hdoi:10.1007/s11134-006-8710-5
- G. P. Cachon and F. Q. Zhang, “Obtaining Fast Service in a Queueing System via Performance-Based Allocation of Demand,” Management Science, Vol. 53, No. 3, 2007, pp. 408-420. Hdoi:10.1287/mnsc.1060.0636
- S. S. Mishra and D. K. Yadav, “Cost and Profit Analysis of M/Ek/1 Queueing System with Removable Service Station,” Bulgarian Journal of Applied Mathematical Sciences, Vol. 2, 2008, pp. 2777-2789.
- S. S. Mishra, “Computational Approach to the Cost Analysis of Dual Machine Interference Model with General Arrival Distribution,” PAMM, Vol. 7, No. 1, 2007, pp. 2060073-2060074. Hdoi:10.1002/pamm.200701034
- Ravindran and Philips, “O.R. Principle and Practice,” Solberg, New York, 2001.
- S. Viswanathan and K. Mathur, “Integrating Routing and Inventory Decisions in One-Warehouse Multiretailer Multiproduct Distribution Systems,” Management Science, Vol. 40, 1997, pp. 320-338
- S. M. R. Iravani and C. P. Teo, “Asymptotically Optimal Schedules for Single-Server Flow Shop Problems with Setup Costs and Times,” Operations Research Letters, Vol. 33, No. 4, 2005, pp.421-430. Hdoi:10.1016/j.orl.2004.08.007
- R. Bellman, “Some Problem in the Theory of Dynamic Programming,” Econometrica, Vol. 22, No. 1, 1954, pp. 37-48. Hdoi:10.2307/1909830
- A. A. Batabyal, “The Queuing Theoretic Approach to Groundwater Management,” Ecological Modeling, Vol. 85, 1996, pp. 219-227.
- J. E. Freund, “Mathematical Statistics,” Prentice Hall, Inc., New Jersey, 1992.
- S. S. Mishra and P. K. Singh, “Computational Approach to an Inventory Model with Ramp-Type Demand and Linear Deterioration,” International Journal of Operations Research, Vol. 15, No. 3, 2012, pp. 337-357.