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An EPQ Model under Constant Amelioration, Different Deteriorations with Exponential Demand Rate and Completely Backlogged Shortages

P. D. Khatri1 , U.B.Gothi 2

  1. K.S. School of Business Management, Gujarat University, Ahmedabad, India.
  2. Department of Statistics, St.Xavier College (Autonomous), Ahmedabad, India.

Correspondence should be addressed to: pooja.khatri25491@gmail.com.


Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.2 , pp.21-28, Apr-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i2.2128


Online published on Apr 30, 2018


Copyright © P. D. Khatri, U.B.Gothi . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: P. D. Khatri, U.B.Gothi, “An EPQ Model under Constant Amelioration, Different Deteriorations with Exponential Demand Rate and Completely Backlogged Shortages,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.2, pp.21-28, 2018.

MLA Style Citation: P. D. Khatri, U.B.Gothi "An EPQ Model under Constant Amelioration, Different Deteriorations with Exponential Demand Rate and Completely Backlogged Shortages." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.2 (2018): 21-28.

APA Style Citation: P. D. Khatri, U.B.Gothi, (2018). An EPQ Model under Constant Amelioration, Different Deteriorations with Exponential Demand Rate and Completely Backlogged Shortages. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(2), 21-28.

BibTex Style Citation:
@article{Khatri_2018,
author = {P. D. Khatri, U.B.Gothi},
title = {An EPQ Model under Constant Amelioration, Different Deteriorations with Exponential Demand Rate and Completely Backlogged Shortages},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {4 2018},
volume = {5},
Issue = {2},
month = {4},
year = {2018},
issn = {2347-2693},
pages = {21-28},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=574},
doi = {https://doi.org/10.26438/ijcse/v5i2.2128}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i2.2128}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=574
TI - An EPQ Model under Constant Amelioration, Different Deteriorations with Exponential Demand Rate and Completely Backlogged Shortages
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - P. D. Khatri, U.B.Gothi
PY - 2018
DA - 2018/04/30
PB - IJCSE, Indore, INDIA
SP - 21-28
IS - 2
VL - 5
SN - 2347-2693
ER -

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Abstract :
In the present paper, we have developed an economic production quantity inventory model for ameliorating and deteriorating items. At the inception of production activity, the constant amelioration, two parameter Weibully distributed deterioration rate and exponential demand rate have been considered At the conclusion stage of production activity, deterioration of items has been assumed to follow Pareto Type-I distribution with the same amelioration and demand rate as at the inception stage. The time dependent inventory holding cost is assumed to be a linear function of time. Shortages are acceptable and backlogged completely. The aim of this study is to find the optimal solution for minimizing the total inventory cost. The manifest the model, a numerical illustration has been presented along with a sensitivity analysis for studying the impact of parameters on assessment variables and total cost of the model.

Key-Words / Index Term :
Weibull distribution, Pareto type – I distribution, Amelioration rate

References :
[1] Ankit Bhojak and U. B. Gothi., “Inventory Models for Ameliorating and Deteriorating Items with Time Dependent Demand and IHC” International Journal of Management and Social Science Research Review, Vol.1, Issue.2, 85 – 98, 2016.
[2] Ankit Bhojak and U.B. Gothi. “Inventory Model for Ameliorating and Deteriorating Items with Time Dependent Demand” Sankhya Vignan, (NSV 11), No.2, 31- 43, 2015.
[3] Chun-Hsiung Lan, Yen-Chieh Yu, Robert H.-J. Lin, Cheng-Tan Tung, Chih-Pin Yen and Peter Shaohua Deng, “A Note on the Improved Algebric Method for the EPQ Model with Stochastic Lead Time,” Information and Management Sciences Vol. 18, No.1, pp. 91-96, 2007.
[4] Devyani Chatterji, U.B.Gothi, “An EPQ Model for Two-Parameter Weibully Deteriorated Items with Exponential Demand Rate and Completely Backlogged Shortages,” International Journal of Computer Science Trends and Technology (IJCST) – Vol.3 Issue 6, Nov-Dec 2015.
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[12] Pooja Khatri and U. B. Gothi, “An Inventory Model of Deteriorating Items under Inflation and Discount Rate with Power Demand and Time Dependent Holding Cost”, International Journal of Advanced Research in Science, Engineering and Technology, Vol. 4, Issue 3, March 2017.
[13] R. Shamsi, A. Haji, S. Shadrokh and F. Nourbakhsh, “Economic Production Quantity in Reworkable Production Systems with Inspection Errors, Scraps and Backlogging,” Journal of Industrial and Systems Engineering Vol. 3, pp. 170-188, 2009.
[14] S.T. Law and H.M. Wee, “An integrated production-inventory forameliorating and deteriorating items taking account of time discounting”, Mathematical and Computer Modelling , 43 , 673-685, 2006.
[15] Srichandan Mishra, L.K.Raju, U.K.Misra & G.Misra.. “Optimal Control of An Inventory System with Variable Demand & Ameliorating / Deteriorating Items”. Asian Journal of Current Engineering and Maths, 154 – 157. 2012.
[16] U. B. Gothi, Kareeshaa Shah and Pooja Khatri, “A two warehouse Inventory model with Weibull and Pareto Type-I deterioration and power demand, International” Journal of Research In Science & Engineering, Vol.3 Issue.3, May-June 2017.

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