Economic Ordering Policy for VAR Deterioration Model with Non-stationary Two-warehouse Inventory and Demand

Abdullah Mohammed Alshami, Aniket Muley

Abstract


Abstract

This paper adopts the two-warehouse inventory, determination on the first run-time and VAR (Vector Auto Regression) deterioration model. The optimal EOQ in the interval of the finite horizon is determined under critical considerations. The non-stationary two-warehouse inventory, i.e. the inventory and initial inventory are non-stationary at level, but stationary after lag difference similar to demand (demand and initial demand). The output of the proposed model represented the optimal order quantity and optimal first run-time, the optimal total cost as integration of first order with the significant trend and intercept. The optimal demand is decreased during more risk as a deterioration variable to reduce the quantity in the stock. The initial demand is stationary after a first lag and the demand is stationary.

Keywords: initial inventory; optimal of first run-time; EOQ (Economic Ordering Quantity); total cost function (TC).

 

Abstrak

Penelitian ini mengadopsi inventori dengan dua gudang penyimpanan, penentuan pada waktu run (run-time) awal, dan model deteriorating VAR (Vector Auto Regression). Nilai optimal EOQ dalam interval horizon berhingga ditentukan dengan pertimbangan kritis. Inventori dengan dua gedung yang tidak stasioner, yaitu inventori dan inventori awal tidak stasioner pada level, tetapi stasioner setelah perbedaan lag seperti halnya pada permintaan (permintaan dan permintaan awal). Hasil dari model yang diajukan menunjukkan nilai orde yang optimal dan waktu run awal yang optimal, total biaya optimal sebagai integrasi dari orde pertama dengan tren dan intercept yang signifikan. Permintaan optimal mengalami penurunan ketika lebih banyak risiko sebagai variabel deteroriating untuk mengurangi jumlah dalam stok. Permintaan awal menunjukkan stasioner setelah perbedaan lag pertama dan permintaan juga stasioner.

Kata kunci: inventori awal; optimal run-time awal; EOQ (Economic Ordering Quantity); fungsi biaya total.


Keywords


initial inventory; optimal of first run-time; EOQ (Economic Ordering Quantity); total cost function (TC)

References


A. K. Maiti, "Multi-item fuzzy inventory model for deteriorating items in multi-outlet under single management," Journal of Management Analytics, vol. 7, pp. 44-68, 2020.

K. -J. Chung, J. -J. Liao, S. -D. Lin, S. -T. Chuang and H. M. Srivastava, "The Inventory Model for Deteriorating Items under Conditions Involving Cash Discount and Trade Credit," Journal of Mathematics, vol. 7, no. 7, pp. 1-20, 2019.

S. Pal, G. S. Mahapatra and G. P. Samanta, "An inventory model of price and stock dependent demand rate with deterioration under inflation and delay in payment," Int. J. System Assurance Engineering an Management, vol. 5, no. 4, pp. 591-601, 2014.

M. Palanivel and R. Uthayakumar, "Finite horizon EOQ model for non-instantaneous deteriorating items with price and advertisement dependent demand and partial backlogging under inflation," International Journal of Systems Science, vol. 46, no. 10, pp. 1762-1773, 2013.

S. Pal, G. S. Mahapatra and G. P. Samanta, "A production inventory model for deteriorating item with ramp type demand allowing inflation and shortages under fuzziness," Economic Modelling, Elsevier, vol. 46, no. (C), pp. 334-345, 2015.

K. G. Omprakash, H. S. Nita and T. S. Kunal, "Supply chain inventory model for deteriorating items under two-level credit policy in declining market," Int. J. of Applied Management Science, vol. 3, no. 2, pp. 143-173, 2011.

F. Jolai, R. Tavakkoli-Moghaddam, M. Rabbani and M. Sadoughian, "An economic production lot size model with deteriorating items, stock-dependent demand, inflation, and partial backlogging," Applied Mathematics and Computation, vol. 181, no. 1, pp. 380-389, 2006.

Neetu and A. K. Tomer, "A Deteriorating Inventory Model Under Variable Inflation When Supplier Credits Linked to Order Quantity," Procedia Engineering, vol. 38, p. 1241 – 1263, 2012.

S. Tiwari, C. K. Jaggi, M. Gupta and L. E. Cárdenas-Barrón, "Optimal pricing and lot-sizing policy for supply chain system with deteriorating items under limited storage capacity," International Journal of Production Economics, vol. 200, pp. 278-290, 2018.

R. P. Tripathi and M. Kaur, "A linear time-dependent deteriorating inventory model with linearly time-dependent demand rate and inflation," Int. J. Computing Science and Mathematics, vol. 9, no. 4, pp. 352-364, 2018.


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DOI: 10.15408/inprime.v2i2.15390

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