How does an industry control a decision support system for a long time?
RAIRO. Operations Research, Tome 55 (2021) no. 5, pp. 3141-3152

The inventory system has been affected by many characteristics, among which deterioration of a food product is a critical issue. Chilled foods deteriorate during storage time, and their quality reduces over time. Indian Spiced Pulled Pork Sandwiches are very observable customer goods in India that are, in fact, unpreserved. If chilled foods’ original value reduces over time, consumers are not much likely to buy them. The retail price of chilled food maintained is strictly dependent on its quality. From the vendor’s approach, measuring quality and leftover value should be a severe commercial issue. The model aims to study deterioration together with the quality prediction of Indian Spiced Pulled Pork Sandwiches. This model measures food quality and leftover value. Deterioration rate is considered as a function of two-parameter Weibull distribution, suitable for bacterial inactivation, microbial growth, enzymes, nutrients, and pigments dreadful environments under a non-isothermal atmosphere. The dynamic structure of demand has its importance in business. The price-storage time of product-dependent demand rate is debated in this model as demand rarely remains constant. The objective is to maximize the vendor’s total profit concerning storage time and the product’s selling price. A numerical example supports the model. Sensitivity analysis is carried out to derive insights for decision-makers. The graphical result, in three dimensions, is exhibited with a supervisory decision.

DOI : 10.1051/ro/2021063
Classification : 90B05
Keywords: Decision support system, quality of food, performance of foods, Gompertz function, $$
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Jani, Mrudul Y.; Chaudhari, Urmila; Sarkar, Biswajit. How does an industry control a decision support system for a long time?. RAIRO. Operations Research, Tome 55 (2021) no. 5, pp. 3141-3152. doi: 10.1051/ro/2021063

[1] S. Bruckner, A. Albrecht, B. Petersen and J. Kreyenschmidt, A predictive shelf life model as a tool for the improvement of quality management in pork and poultry chains. Food Control 29 (2013) 451–460. | DOI

[2] L. E. Cárdenas-Barrón and S. S. Sana, Multi-item EOQ inventory model in a two-layer supply chain while demand varies with a promotional effort. Appl. Math. Model. 39 (2015) 6725–6737. | MR | DOI

[3] B. R. Chowdhury, R. Chakraborty and U. R. Chaudhuri, The validity of modified Gompertz and Logistic models in predicting cell growth of Pediococcus Acidilactici H during the production of bacteriocin pediocin AcH. J. Food Eng. 80 (2007) 1171–1175. | DOI

[4] B. K. Dey, B. Sarkar and M. Sarkar and S. Pareek, An integrated inventory model involving discrete setup cost reduction, variable safety factor, selling price dependent demand, and investment, RAIRO: OR 53, 2019 39–57. | MR | DOI

[5] T. J. Fang, Q. K. Wei, C. W. Liao, M. J. Hung and T. H. Wang, Microbiological quality of 18 °C ready-to-eat food products sold in Taiwan. Int. J. Food Microbiol. 80 (2003) 241–250. | DOI

[6] A. M. Gibson, N. Bratchell and T. A. Roberts, The effect of sodium chloride and temperature on rate and extent of growth of clostridium botulinum type an unpasteurized pork slurry. J. Appl. Bacteriol. 62 (1987) 479–490. | DOI

[7] J. W. Grievink, L. Josten and C. Valk, State of the art in food: The changing face of the worldwide food industry. Elsevier Business Information (2002) 663.

[8] A. Herbon, E. Levner and T. C. E. Cheng, Perishable inventory management with dynamic pricing using time-temperature indicators linked to automatic detecting devices. Int. J. Prod. Econ. 147 (2014) 605–613. | DOI

[9] M. W. Iqbal and B. Sarkar, Recycling of lifetime dependent deteriorated products through different supply chains. RAIRO: OR 53 (2019) 129–156. | MR | Zbl | Numdam | DOI

[10] D. H. Jang and K. T. Lee, Quality changes of ready-to-eat ginseng chicken porridge during storage at 25 C. Meat Sci. 92 (2012) 469–473. | DOI

[11] J. Jemai, B. D. Chung and B. Sarkar, Environmental effect for a complex green supply-chain management to control waste: a sustainable approach. J. Clean. Prod. 277 (2020) 122919. | DOI

[12] M. A. A. Khan, A. A. Shaikh, G. Panda, I. Konstantaras and L. E. Cárdenas-Barrón, The effect of advance payment with discount facility on supply decisions of deteriorating products whose demand is both price and stock dependent. Int. Trans. Oper. Res. 27 (2020) 1343–1367. | MR | DOI

[13] R. H. Linton, W. H. Carter, M. D. Pierson and C. R. Hackney, Use of a modified Gompertz equation to model nonlinear survival curves for Listeria Monocytogenes Scott A. J. Food Prot. 58 (1995) 946–954. | DOI

[14] A. S. Mahapatra, B. Sarkar, M. S. Mahapatra, H. N. Soni and S. K. Mazumder, Development of a fuzzy economic order quantity model of deteriorating items with promotional effort and learning in fuzziness with a finite time horizon. Inventions 4 (2019) 36. | DOI

[15] A. Mukherjee and G. C. Mahata, Optimal replenishment and credit policy in an inventory model for deteriorating items under two-levels of trade credit policy when demand depends on both time and credit period involving default risk. RAIRO: OR 52 (2018) 1175–1200. | MR | Zbl | Numdam | DOI

[16] S. Mukhopadyay, R. N. Mukherjee and K. S. Chaudhuri, Joint pricing and ordering policy for a deteriorating inventory. Comput. Ind. Eng. 47 (2004) 339–349. | DOI

[17] Y. Qin, J. Wang and C. Wei, Joint pricing and inventory control for fresh produce and foods with quality and physical quantity deteriorating simultaneously. Int. J. Prod. Econ. 152 (2014) 42–48. | DOI

[18] M. Rabbani, N. P. Zia and H. Rafiei, Coordinated replenishment and marketing policies for non-instantaneous stock deterioration problems. Comput. Ind. Eng. 88 (2015) 49–62. | DOI

[19] M. Rabbani, N. P. Zia and H. Rafiei, Joint optimal inventory, dynamic pricing, and advertisement policies for non-instantaneous deteriorating items. RAIRO: OR 51 (2017) 1251–1267. | MR | Zbl | Numdam | DOI

[20] B. Sarkar, B. K. Sett and G. Roy, Flexible setup cost and deterioration of products in a supply chain model. Int. J. Appl. Comput. Math. 2 (2016) 25–40. | MR | DOI

[21] B. Sarkar, B. K. Dey, M. Sarkar, S. Hur, B. Mandal and V. Dhaka, Optimal replenishment decision for retailers with variable demand for deteriorating products under a trade-credit policy. RAIRO Oper. Res. 54 (2020) 1685–1701. | MR | Numdam | DOI

[22] B. Sarkar, M. Sarkar, B. Ganguly and L. E. Cárdenas-Barrón, Combined effects of carbon emission and production quality improvement for fixed lifetime products in a sustainable supply chain management. Int. J. Prod. Econ. 231 (2021) 107867. | DOI

[23] N. Saxena, B. Sarkar and S. R. Singh, Selection of remanufacturing/production cycles with an alternative market: a perspective on waste management. J. Clean. Prod. 245 (2020) 118935. | DOI

[24] N. H. Shah and U. B. Chaudhari, Optimal policies for three players with fixed life time and two-level trade credit for time and credit dependent demand. Adv. Ind. Eng. Manage. 4 (2015) 89–100.

[25] N. H. Shah and M. Y. Jani, Optimal ordering for deteriorating items of fixed-life with quadratic demand and two-level trade credit. In: Optimal Inventory Control and Management Techniques. IGI Global (2016) 1–16.

[26] N. H. Shah and M. Y. Jani, Economic order quantity model for non-instantaneously deteriorating items under order-size-dependent trade credit for price-sensitive quadratic demand. AMSE J. 37 (2016) 1–19.

[27] N. H. Shah, M. Y. Jani and D. B. Shah, Economic order quantity model under trade credit and customer returns for price-sensitive quadratic demand. Rev. Invest. Oper. 36 (2015) 240–248. | MR

[28] N. H. Shah, U. B. Chaudhari and M. Y. Jani, Optimal down-stream credit period and replenishment time for deteriorating inventory in a supply chain. J. Basic Appl. Res. Int. 14 (2015) 101–115.

[29] N. H. Shah, M. Y. Jani and U. B. Chaudhari, Impact of future price increase on ordering policies for deteriorating items under quadratic demand. Int. J. Ind. Eng. Comput. 7 (2016) 423–436.

[30] N. H. Shah, U. Chaudhari and L. E. Cárdenas-Barrón, Integrating credit and replenishment policies for deteriorating items under quadratic demand in a three echelon supply chain. Int. J. Syst. Sci. Oper. Logist. 7 (2020) 34–45.

[31] A. A. Shaikh, L. E. Cárdenas-Barrón, A. K. Bhunia and S. Tiwari, An inventory model of a three-parameter Weibull distributed deteriorating item with variable demand dependent on price and frequency of advertisement under trade credit. RAIRO: OR 53 (2019) 903–916. | MR | Zbl | Numdam | DOI

[32] A. A. Shaikh, L. E. Cárdenas-Barrón and S. Tiwari, A two-warehouse inventory model for non-instantaneous deteriorating items with interval valued inventory costs and stock dependent demand under inflationary conditions. Neural Comput. App. 31 (2019) 1931–1948. | DOI

[33] E. Stavropoulou and E. Bezirtzoglou, Predictive modeling of microbial behavior in food. Foods 8 (2019) 654. | DOI

[34] A. Taleizadeh and M. Nematollahi, An inventory control problem for deteriorating items with back-ordering and financial considerations. Appl. Math. Model. 38 (2014) 93–109. | MR | DOI

[35] J. Wang, J. Chen, Y. Hu, H. Hu, G. Liu and R. Yan, Application of a predictive growth model of pseudomonas spp. for estimating shelf life of fresh Agaricus bisporus. J. Food Prot. 80 (2017) 1676–1681. | DOI

[36] R. C. Whiting and R. L. Buchanan, A classification of models in predictive microbiology. Food Microbiol. 10 (1993) 175–177.

[37] M. F. Yang and W. C. Tseng, Deteriorating inventory model for chilled food. Math. Prob. Eng. 2015 (2015) 816876. | MR

[38] J. Zhang, G. Liu, Q. Zhang and Z. Bai, Coordinating a supply chain for deteriorating items with a revenue sharing and cooperative investment contract. Omega 56 (2015) 37–49. | DOI

[39] L. C. Iao, H. I. Hsiao and M. F. Yang, Temperature monitoring for quality prediction and inventory control in cold chain: A case of 18 °Cready-to-eat food in Taiwan. 7 th International European Forum (Igls-Forum) on System Dynamics and Innovation in Food Networks, Innsbruck, Austria (2013) 593–600.

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