Replenishment model for deteriorating items with price dependent demand and complete backlogging in two storage facilities under the effect of inflation

Downloads

Abstract

This model is based on the study of a market situation where a retailer is interested in bulk purchasing. The
retailer buys excess units of product then the available storage capacity. So he needs to get some extra space in
the form of rented warehouse. It is assumed that because of suitable storage conditions in the rented warehouse
(RW), there is no deterioration of items. In owned warehouse (OW), constant deterioration of items takes place.
Demand is taken as a function of selling price. Demand and selling price are inversely related. With the increase
in selling price, demand of the product decreases and vice versa. This model is constructed considering complete
backlogging of demand during period of shortages under the effect of inflation. Numerical example is given to
discuss the approach of study. The effect of variation of various parameters is presented and shown graphically.

Keywords:

Two warehouse,, Inflation, Finite planning horizon, Deterioration,, Price dependent demand, Complete backlogging

Mathematics Subject Classification:

Mathematics
  • Rupali Jindal Research Scholar, Department of Mathematics, CT University, Ludhiana, India.
  • Leena Prasher Department of Mathematics, CT University, Ludhiana, India.
  • D.S. Pathania Department of Mathematics, Guru Nanak Dev Enggineering College, Ludhiana, India.
  • Pages: 26-32
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

A. Banerjee, A joint economic-lot-size model for purchaser and vendor, Decision sciences, 17 (1986) 292-311.

L. Benkherouf, A deterministic order level inventory model for deteriorating items with two storage facilities, International Journal of Production Economics, 48 (1997) 167-175.

M. Bonney, Trends in inventory management, International Journal of Production Economics, 35 (1994) 107114.

S. Bose, A. Goswami, K. Chaudhuri, An eoq model for deteriorating items with linear time-dependent demand rate and shortages under inflation and time discounting, Journal of the Operational Research Society, 46 (1995) $771-782$.

R. R. Chowdhury, S. Ghosh, K. Chaudhuri, An orderlevel inventory model for a deteriorating item with timequadratic demand and time dependent partial backlogging with shortages in all cycles, American Journal of Mathematical and Management Sciences, 33 (2014) 75-97.

S.-L. Chung, H.-M. Wee, P.-C. Yang, Optimal policy for a closed-loop supply chain inventory system with remanufacturing, Mathematical and computer modelling, 48 (2008) 867-881.

M. Goh, Eoq models with general demand and holding cost functions, European Journal of Operational Research, 73 (1994) 50-54.

R. Gupta, P. Vrat, Inventory model for stock-dependent consumption rate, Opsearch, 23 (1986) 19-24.

K.-L. Hou, An inventory model for deteriorating items with stock- dependent consumption rate and shortages under inflation and time discounting, European Journal of Operational Research, 168 (2006) 463-474.

C. C. Lee, C. Ying, Optimal inventory policy for deteriorating items with two-warehouse and time-dependent demands, Production Planning and Control, 11 (2000)

C. C. Lee, S.-L. Hsu, A two-warehouse production model for deteriorating inventory items with time-dependent demands, European Journal of Operational Research, 194 (2009) 700-710.

R. I. Levin, Production operations management: contemporary policy for managing operating systems, McGrawHill Companies, 1972.

B. a. Mandal, S. Phaujdar, An inventory model for deteriorating items and stock-dependent consumption rate, Journal of the operational Research Society, 40 (1989) 483-488.

S. Pal, G. Mahapatra, G. Samanta, A production inventory model for deteriorating item with ramp type demand allowing inflation and shortages under fuzziness, Economic modelling, 46 (2015) 334-345.

M. Palanivel, R. Uthayakumar, Two-warehouse inventory model for non-instantaneous deteriorating items with partial backlogging and inflation over a

finite time horizon. Opsearch. 53 (2016) 278-302.

${ }^{[16]}$ R. Pandey, S. Singh, B. Vaish, S. Tayal, An eoq model with quantity incentive strategy for deteriorating items and partial backlogging, Uncertain Supply Chain Management, 5 (2017) 135-142.

V. Pando, L. A. San-Jose, J. Garcia-Laguna, J. Sicilia, Optimal lot-size policy for deteriorating items with stockdependent demand considering profit maximization, $mathrm{Com}$ puters and Industrial Engineering, 117 (2018) 81-93.

M. Rastogi, S. Singh, P. Kushwah, S. Tayal, Two warehouse inventory policy with price dependent demand and deterioration under partial backlogging, Decision Science Letters, 6 (2017) 11-22.

${ }^{[19]}$ S. S. Sana, K. Chaudhuri, An inventory model for stock with advertising sensitive demand, IMA Journal of management mathematics, 19 (2008) 51-62.

K. Sarma, M. Sastry, Optimum inventory for systems with two levels of storage, Industrial Engineering Journal, 8 (1988) 12-19.

K. Sarma, A deterministic inventory model with two levels of storage and an optimal release rule, Opsearch, $20(1983) 175-180$.

N. H. Shah, C. R. Vaghela, Economic order quantity for deteriorating items under inflation with time and advertisement dependent demand, Opsearch, 54 (2017) 168180.

J.-T. Teng, C.-T. Chang, Economic production quantity models for de- teriorating items with price-and stockdependent demand, Computers and Operations Research, 32 (2005) 297-308.

H.-L. Yang, Two-warehouse inventory models for deteriorating items with shortages under inflation, European Journal of Operational Research, 157 (2004) 344-356.

Metrics

Metrics Loading ...

Published

01-01-2021

How to Cite

Rupali Jindal, Leena Prasher, and D.S. Pathania. “Replenishment Model for Deteriorating Items With Price Dependent Demand and Complete Backlogging in Two Storage Facilities under the Effect of Inflation”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 26-32, https://www.malayajournal.org/index.php/mjm/article/view/959.