Optimal Inventory Policy for Deteriorating Item under Stock Level Dependent Demand, Controllable Deterioration, Trade Credit and Complete Backlogging
DOI:
https://doi.org/10.62054/ijdm/0202.17Аннотация
This study examines the inventory management problem for deteriorating item with stock level dependent demand and controllable deterioration under trade credit and complete backlogging and derived the objective function which is the total average cost function and minimized it. We applied the optimization problem solver in MATLAB to solve the derived objective function. From the numerical illustrations and sensitivity analysis, it is observed that the optimal total average cost and the optimal order quantity are sensitive to the initial demand rate, stock level and the reduced deteriorating rate parameters.
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References
Amalesh, K. M., Leopoldo, E. C., Barun, D., Ali, A. S., Armando, C. & Gerardo, T. (2021). An imperfect Production Model for Breakable Multi – item with Dynamic Demand and Learning Effect on Rework Over Random Planning Horizon. Journal of Risk and Financial Management. 14, 574. http://dx.doi.org/10.3390/jrfm14120574
Banu, A., Amalesh, K. M. & Shyaamal, K. M. (2021). Adjustment of Credit Period and Stock – Dependent Demand in a Supply Chain Model With Variable Imperfectness. RAIRO – Operations Research. 55: 291 – 324.
Birbil, S. L., Bulbul, K., Frenk, J. B. G. & Mulder, H. M. (2015). On EOQ Cost Models With Arbitrary Purchase and Transportation Costs. Journal of Industrial and Management Optimization. 11: 1211 – 1245.
Halim, M. A., Paul, A., Mona, M., Alshahrani, B., Atheelah, Y. M. A. & Gamal, M. I. (2021). An Overtime Production Inventory Model for Deteriorating Items With Nonlinear Price and Stock Dependent Demand. Alexandria Engineering Journal. 60: 79 – 86.
Jie, M., Yong – Wu, Z. & Ju, Z. (2010). An Inventory Model for Deteriorating Items Under Stock – Dependent Demand and Two – level Trade Credit. Applied Mathematical modelling. 34, 3273 – 3285. doi:10.016/j.apm.2010.02.019
Luis, A. S., Joaquin, S., Manuel, G. & Jaime, F. (2021). Optimal Price and Lot Size for an EOQ model With Full Backordering Under Power Price and Time Dependent Demand. Mathematics. 9: 1848. http://doi.org/10.3390/math9161848
Mishra, S. S., Gupta, S., Yadav, S. K. & Rawat, S. (2015). Optimization of Fuzzified Economic Order Quantity Model Allowing Shortage and Deterioration With Full Backlogging. American Journal of Operations Research. 5: 103 – 110.
Pervin, M., Sankar, K. R. & Gerhard, W. W. (2019). Multi – Item Deteriorating Two – echelon Inventory Model With Price – and Stock – Dependent Demand: A Trade – Credit Policy. Journal of Industrial and Management Optimization. 15: 45 – 73.
Rajan, R. S. & Uthayakumar, R. (2017). Optimal Pricing and Replenishment Policies for Instantaneous Deteriorating Items with Backlogging and Trade Credit Under Inflation. Journal of Industrial Engineering International, Springer, Heidelberg, 13(4), 427 – 443. http://dx.doi.org/10.1007/s40092-017-0200-3
Shaikh, A. A., Leopoldo, E. C., Amalesh, K. M. & Armando, C. (2020). An Economic Production Quantity (EPQ) Model for a Deteriorating Item with Partial Trade Credit Policy for Price Dependent Demand Under Inflation and Reliability. Yugoslav Journal of Operations Research. 31: 39 – 51.
San – Jose, L. A., Sicilia, J., Gonzalez – De – La – Rosa, M. & Febles – Acosta, J. (2019). Analysis of an Inventory System with Discrete Scheduling Period, Time Dependent Demand and Backlogged Shortages. Computational Operations Research. 109: 200 – 208. http://dx.doi.org/10.1016/j.cor.2019.05.003
San – Jose, L. A., Sicilia, J., Gonzalez – De – La – Rosa, M. & Febles – Acosta, J. (2020). Best Pricing and Optimal Policy for an Inventory System Under Time – and Price – Dependent Demand and Backordering. Ann. Oper. Res. 286: 351 – 369. http://dx.doi.org/10.1007/s10479-2953-5
Sushi, K. & Rajput, U. S. (2015). An Inventory Model for Perishable Items With Time Varying Stock dependent Demand and Trade Credit Under Inflation. American Journal of Operations Research. 5: 435 – 449. http://dx.doi.org/10.4236/ajor.2015.55036
Shaui, Y., Chulung, L. & Anming, Z. (2013). An inventory Model for Perishable Products With Stock – Dependent Demand and Trade Credit Under Inflation. Mathematical Problems in Engineering. Vol. 2013, Article ID 702939, 8 pages. http://dx.doi.org/10.1155/2013/702939
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