Efficiency of Managing a Stochastic Inventory System in a Declining Market for Non-Instantaneous Deteriorating Items Under Partial Backlogs
DOI:
https://doi.org/10.2298/YJOR230515047KKeywords:
Stochastic demand, price and time declining demand, non-instantaneous deterioration, promotional efforts, partial backlogging, lost salesAbstract
In a declining market, companies must adapt their strategies during the mature stage to maintain competitiveness. One of the effective approach to sustaining demand is through targeted promotional efforts, which can extend the products demand in the market. Additionally, implementing an appropriate pricing strategy is essential to ensure products are sold before its start deteriorate or the season ends. This paper explores the role of promotional efforts in shaping pricing policies for non-instantaneous deteriorating items in the declining demand scenario. In the model, we consider the demand as a function of both price and time, incorporating assumptions of partial backlogging for shortages, losts sales, fixed holding costs, and deterioration rate. Using these assumptions, we develop an inventory model that starts with a shortage and ends with zero inventory. The objective is to maximize expected profit per unit time by optimizing both the selling price and replenishment schedules. The innovation of this study lies in integrating promotional efforts with pricing strategies, specifically designed for deteriorating items in a declining market. We present a numerical example to demonstrate the model’s effectiveness and conduct a sensitivity analysis to examine its performance under varying conditions. Finally, we provide managerial insights and outline potential directions for future research.References
M. Keswani and U. Khedlekar, “Optimizing pricing and promotions for sustained profitability in declining markets: A green-centric inventory model,” Data Science in Finance and Economics, vol. 4, no. 1, pp. 83-131, 2024.
N. H. Shah, M. Keswani, U. K. Khedlekar, and N. M. Prajapati, “Non-instantaneous controlled deteriorating inventory model for stock-price-advertisement dependent probabilistic demand under trade credit financing,” Opsearch, vol. 61, no. 1, pp. 421-459, 2024.
M. Keswani and U. K. Khedlekar, “Optimal inventory management strategies for sequentially convertible items with different distribution patterns: A comprehensive stochastic approach,” Numerical Algebra, Control and Optimization, pp. 0-0, 2024.
R. Hollier and K. Mak, “Inventory replenishment policies for deteriorating items in a declining market,” International Journal of Production Research, vol. 21, no. 6, pp. 813-836, 1983.
A. Jalan and K. Chaudhuri, “An eoq model for deteriorating items in a declining market with sfi policy,” Korean Journal of Computational & Applied Mathematics, vol. 6, pp. 437-449, 1999.
H.-M. Wee, “A deterministic lot-size inventory model for deteriorating items with shortages and a declining market,” Computers & Operations Research, vol. 22, no. 3, pp. 345-356, 1995.
J.-L. Zhang, J. Chen, and C.-Y. Lee, “Joint optimization on pricing, promotion and inventory control with stochastic demand,” International Journal of Production Economics, vol. 116, no. 2, pp. 190-198, 2008.
Y. He, X. Zhao, L. Zhao, and J. He, “Coordinating a supply chain with effort and price dependent stochastic demand,” Applied Mathematical Modelling, vol. 33, no. 6, pp. 2777-2790, 2009.
R. Maihami and B. Karimi, “Optimizing the pricing and replenishment policy for noninstantaneous deteriorating items with stochastic demand and promotional efforts,” Computers & Operations Research, vol. 51, pp. 302-312, 2014.
S. Singh and H. Rathore, “Optimal payment policy with preservation technology investment and shortages under trade credit,” Indian Journal of Science and Technology, vol. 8, p. 203, 2015.
Z. Chen, C. Chen, and B. Bidanda, “Optimal inventory replenishment, production, and promotion effect with risks of production disruption and stochastic demand,” Journal of Industrial and Production Engineering, vol. 34, no. 2, pp. 79-89, 2017.
N. H. Shah, P. H. Shah, and M. B. Patel, “Retailer’s inventory decisions with promotional efforts and preservation technology investments when supplier offers quantity discounts,” Opsearch, vol. 58, no. 4, pp. 1116-1132, 2021.
H. N. Soni and A. D. Chauhan, “Joint pricing, inventory, and preservation decisions for deteriorating items with stochastic demand and promotional efforts,” Journal of Industrial Engineering International, vol. 14, no. 4, pp. 831-843, 2018.
M. Rastogi and S. Singh, “An inventory system for varying deteriorating pharmaceutical items with price-sensitive demand and variable holding cost under partial backlogging in healthcare industries,” Sādhanā, vol. 44, no. 4, p. 95, 2019.
C. N. Rapolu and D. H. Kandpal, “Joint pricing, advertisement, preservation technology investment and inventory policies for non-instantaneous deteriorating items under trade credit,” Opsearch, vol. 57, no. 2, pp. 274-300, 2020.
M. Keswani, “A comparative analysis of metaheuristic algorithms in interval-valued sustainable economic production quantity inventory models using center-radius optimization,” Decision Analytics Journal, p. 100508, 2024.
K. S. Mathur and V. Dwivedi, “Optimal control of rotavirus infection in breastfed and nonbreastfed children,” Results in Control and Optimization, vol. 16, p. 100452, 2024.
L. A. San-José, J. Sicilia, and D. Alcaide-López-de Pablo, “An inventory system with demand dependent on both time and price assuming backlogged shortages,” European Journal of Operational Research, vol. 270, no. 3, pp. 889-897, 2018.
S. Saha and N. Sen, “An inventory model for deteriorating items with time and price dependent demand and shortages under the effect of inflation,” International Journal of Mathematics in Operational Research, vol. 14, no. 3, pp. 377-388, 2019.
G. D. Bhavani, I.Meidute-Kavaliauskiene, G. S.Mahapatra, and R. Činčikaitė, “A sustainable green inventory system with novel eco-friendly demand incorporating partial backlogging under fuzziness,” Sustainability, vol. 14, no. 15, p. 9155, 2022.
H. N. Soni and D. N. Suthar, “Pricing and inventory decisions for non-instantaneous deteriorating items with price and promotional effort stochastic demand,” Journal of Control and Decision, vol. 6, no. 3, pp. 191-215, 2019.
S. Goyal, M. Hariga, and A. Alyan, “The trended inventory lot sizing problem with shortages under a new replenishment policy,” Journal of the Operational Research Society, vol. 47, no. 10, pp. 1286-1295, 1996.
A. A. Shaikh, M. A.-A. Khan, G. C. Panda, and I. Konstantaras, “Price discount facility in an eoq model for deteriorating items with stock-dependent demand and partial backlogging,” International Transactions in Operational Research, vol. 26, no. 4, pp. 1365-1395, 2019.
R. Maihami and I. N. Kamalabadi, “Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand,” International Journal of Production Economics, vol. 136, no. 1, pp. 116-122, 2012.
B. Dash, M. Pattnaik, and H. Pattnaik, “The impact of promotional activities and inflationary trends on a deteriorated inventory model allowing delay in payment,” J Bus Manag Sci, vol. 2, no. 3A, pp. 1-16, 2014.
C. K. Jaggi, A. Kishore et al., “Replenishment policies for imperfect inventory system under natural idle time and shortages,” Yugoslav Journal of Operations Research, vol. 30, no. 3, pp. 253-272, 2020.
M. Palanivel and R. Uthayakumar, “A production-inventory model with promotional effort, variable production cost and probabilistic deterioration,” International Journal of System Assurance Engineering and Management, vol. 8, pp. 290-300, 2017.
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