A two warehouse deterministic inventory model for deteriorating items with power demand, time varying holding costs and trade credit in a supply chain system

Sharmila, D.; Uthayakumar, R.

Growing Science » Uncertain Supply Chain Management » A two warehouse deterministic inventory model for deteriorating items with power demand, time varying holding costs and trade credit in a supply chain system

Journals

USCM Volumes

Volume 1 (22)
- Issue 1 (4)
- Issue 2 (6)
- Issue 3 (6)
- Issue 4 (6)

Volume 2 (32)
- Issue 1 (7)
- Issue 2 (5)
- Issue 3 (10)
- Issue 4 (10)

Volume 3 (39)
- Issue 1 (9)
- Issue 2 (13)
- Issue 3 (10)
- Issue 4 (7)

Volume 4 (31)
- Issue 1 (10)
- Issue 2 (6)
- Issue 3 (6)
- Issue 4 (9)

Volume 5 (26)
- Issue 1 (6)
- Issue 2 (6)
- Issue 3 (8)
- Issue 4 (6)

Volume 6 (25)
- Issue 1 (7)
- Issue 2 (6)
- Issue 3 (6)
- Issue 4 (6)

Volume 7 (57)
- Issue 1 (8)
- Issue 2 (19)
- Issue 3 (14)
- Issue 4 (16)

Volume 8 (82)
- Issue 1 (20)
- Issue 2 (15)
- Issue 3 (17)
- Issue 4 (30)

Volume 9 (117)
- Issue 1 (25)
- Issue 2 (26)
- Issue 3 (32)
- Issue 4 (34)

Volume 10 (150)
- Issue 1 (28)
- Issue 2 (32)
- Issue 3 (44)
- Issue 4 (46)

Volume 11 (190)
- Issue 1 (42)
- Issue 2 (45)
- Issue 3 (50)
- Issue 4 (53)

Volume 12 (244)
- Issue 1 (55)
- Issue 2 (59)
- Issue 3 (63)
- Issue 4 (67)

Volume 13 (30)
- Issue 1 (15)
- Issue 2 (15)

Keywords

Authors

Countries

Uncertain Supply Chain Management

ISSN 2291-6830 (Online) - ISSN 2291-6822 (Print) Quarterly Publication Volume 6 Issue 2 pp. 195-212 , 2018

A two warehouse deterministic inventory model for deteriorating items with power demand, time varying holding costs and trade credit in a supply chain system Pages 195-212 Download PDF

Authors: D. Sharmila, R. Uthayakumar

DOI: 10.5267/j.uscm.2017.7.002

Keywords: Capacity Constraints, Deterioration, Permissible delay in payments Power demand, Varying holding cost

Abstract: In the present day, focused commercial centers, offering exchange credit, have turned into a usually received strategy. Past inventory models under reasonable postponement in installments generally accepted that the request of the things was either consistent or simply relying on the retail cost. In this paper, we proposed to sum up, two distribution centers inventory model for crumbling things when the provider offers the retailer to defer period and thus the retailer gives to postpone period to their clients. The request design has been figured in a powerful example, which can be communicated in a straight or exponential shape. Shortages were not permitted. The differing criteria and lead time, smashing expenses were thought to be constant elements of unit cost and lead time, separately. From these, a basic iterative calculation to acquire the ideal renewal number and time booking was given. At last, numerical cases were introduced to show the model and investigation of different parameters was additionally performed. Likewise, the impact of changes in the diverse parameters in the ideal aggregate cost was graphically displayed and the suggestions were examined in details.

How to cite this paper

 Sharmila, D & Uthayakumar, R. (2018). A two warehouse deterministic inventory model for deteriorating items with power demand, time varying holding costs and trade credit in a supply chain system.Uncertain Supply Chain Management, 6(2), 195-212.

Refrences

Abou-El-Ata, M. O., & Kotb, K. A. M. (1997). Multi-item EOQ inventory model with varying holding cost under two restrictions: a geometric programming approach. Production planning & control, 8(6), 608-611.
Alfares, H. K. (2007). Inventory model with stock-level dependent demand rate and variable holding cost. International Journal of Production Economics, 108(1), 259-265.
Anand & Kapil, K.B. (2013). Modeling of an inventory system for decaying items with time dependent demand rate under permissible delay. International Journal of Advanced Research in Computer Science and Software Engineering, 3,786-793.
Baker, R. C., & Urban, T. L. (1988). A deterministic inventory system with an inventory-level-dependent demand rate. Journal of the Operational Research Society, 823-831.
Bera, S., Kar, S., Chakraborti, T., & Sinha, B. K. (2014). An inventory model for deteriorating items under conditionally permissible delay in payments depending on the order quantity. Applied Mathematics, 5(17), 2675.
Bhathavala, P. H., & Rathod, K. D. (2012). Inventory model with stock-level dependent demand rate and quantity based holding cost. International Journal of Engineering Research & Technology (IJERT), 1,1-6.
Chang, C. T. (2016). Inventory models with stock-and pricedependent demand for deteriorating items based on limited shelf space. Yugoslav Journal of Operations Research, 20(1), 55-69.
Chen, L. H., & Kang, F. S. (2010). Integrated inventory models considering permissible delay in payment and variant pricing strategy. Applied Mathematical Modelling, 34(1), 36-46.
Chowdhury, R. R., Ghosh, S. K., & Chaudhuri, K. S. (2017). An optimal inventory replenishment policy for a perishable item with time quadratic demand and partial backlogging with shortages in all cycles. International Journal of Applied and Computational Mathematics, 3(2), 1001-1017.
Chung, K.J. Chang, S.L., & Yang, W.D. (2001). The optimal cycle time for exponential products under trade credit. The Engineering Economist, 46, 232-242.
Dash, B. P., Singh, T., & Pattnayak, H. (2014). An inventory model for deteriorating items with exponential declining demand and time-varying holding cost. American Journal of Operations Research, 4(01), 1-7.
Debata, S., & Acharya, M. (2017). An inventory control for non-instantaneous deteriorating items with non-zero lead time and partial backlogging under joint price and time dependent demand. International Journal of Applied and Computational Mathematics, 3(2), 1381-1393.
Geetha, K. V., & Udayakumar, R. (2016). Optimal lot sizing policy for non-instantaneous deteriorating items with price and advertisement dependent demand under partial backlogging. International Journal of Applied and Computational Mathematics, 2(2), 171-193.
Liao, J. J. (2007). On an EPQ model for deteriorating items under permissible delay in payments. Applied Mathematical Modelling, 31(3), 393-403.
Liao, J. J. (2007). A note on an EOQ model for deteriorating items under supplier credit linked to ordering quantity. Applied Mathematical Modelling, 31(8), 1690-1699.
Hu, F., & Liu, D. (2010). Optimal replenishment policy for the EPQ model with permissible delay in payments and allowable shortages. Applied Mathematical Modelling, 34(10), 3108-3117.
Huang, Y. F. (2016). An EPQ model under cash discount and permissible delay in payments derived without derivatives. Yugoslav Journal of Operations Research, 17(2)
Jinn,T. T. and Liang,Y. O. (2005), An EOQ Model for Deteriorating Items with Power-Form Stock-Dependent Demand, Information and Management Sciences, Vol. 16,1-16.
Joaquín, S., Manuel González,-D.l..R., Jaime Febles,A. and David Alcaide,L.P. (2014), An inventory model for deteriorating items with shortages and time-varying demand, International Journal of Production Economics, Vol. 155, 155- 162.
Joaquín, S., Manuel González,-D.l..R., Jaime Febles,A. and David Alcaide,L.P., Optimal policy for an inventory system with power demand, backlogged shortages and production rate proportional to demand rate, International Journal of Production Economics, Vol. 155,163-171.
Kasthuri, R., & Seshaiah, C. V. (2014). Multi-item inventory lot-size model with increasing varying holding cost:A Karush-Kuhn-Tucker conditions approach. International Journal of Mathatical Analysis, 8, 157 – 165.
Kotb, K. A. M., & Fergany, H. A. (2011). Multi-item EOQ model with varying holding cost: A geometric programming approach. International Mathematical Forum, 6(23), 1135 – 1144.
Li, J., Feng, H., & Zeng, Y. (2014). Inventory games with permissible delay in payments. European Journal of Operational Research, 234(3), 694-700.
Mishra, U. (2016). An EOQ model with time dependent Weibull deterioration, quadratic demand and partial backlogging. International Journal of Applied and Computational Mathematics, 2(4), 545-563.
Mishra, U. (2016). An Inventory Model for Weibull Deterioration with Stock and Price Dependent Demand. International Journal of Applied and Computational Mathematics, 1-17.
Musa, A., & Sani, B. (2012). Inventory ordering policies of delayed deteriorating items under permissible delay in payments. International Journal of Production Economics, 136(1), 75-83.
Patel, R., & Sheikh, S. R. (2015). Inventory Model with Different Deterioration Rates under Linear Demand and Time Varying Holding Cost. International J. Mathematics and Statistics Invention, 3(6), 36-42.
Raman, P. and Reena, U.P. (2014), Inventory model for Weibull deteriorating items with stock dependent demand, time varying holding cost and variable selling price. Indian Journal Of Applied Research, 4, 577-580.
Shukla, D., Chandel, R. P. S., Khedlekar, U. K., & Agrawal, R. K. (2010). Multi-items inventory model with time varying holding cost and variable deterioration. Canadian Journal on Computing in Mathematics, Natural Sciences, Engineering & Medicine, 1(8), 223-227.
Sharmila, D., & Uthayakumar, R. (2015). Inventory model for deteriorating items with quadratic demand, partial backlogging and partial trade credit. Operations Research and Applications: An International Journal (ORAJ), 2, 51-70.
Sharmila, D., & Uthayakumar, R. (2015). Inventory model for deteriorating items involving fuzzy with shortages and exponential demand. International Journal of Supply and Operations Management, 2(3), 888.
Sharmila, D., & Uthayakumar, R. (2016). Optimal inventory model for deteriorating
products with Weibull distribution deterioration, stock and time-dependent demand, time-varying holding cost under fully backlogging. Communications in Applied Analysis, 20, 277-290.
Sharmila, D., & Uthayakumar, R. (2016). An inventory model with three rates of production rate under stock and time dependent demand for time varying deterioration rate with shortages. International Journal of Advanced Engineering, Management and Science (IJAEMS), 2, 1595-1602.
Shah, N. H., Chaudhari, U., & Jani, M. Y. (2017). Optimal policies for time-varying deteriorating item with preservation technology under selling price and trade credit dependent quadratic demand in a supply chain. International Journal of Applied and Computational Mathematics, 3(2), 363-379.
Soni, H. N. (2013). Optimal replenishment policies for deteriorating items with stock sensitive demand under two-level trade credit and limited capacity. Applied Mathematical Modelling, 37(8), 5887-5895.
Teng, J., & Yang, H. (2007). Deterministic inventory lot-size models with time-varying demand and cost under generalized holding costs. International journal of information and management sciences, 18(2), 113.
Tripathi, R. (2013). Inventory model with different demand rate and different holding cost. International Journal of Industrial Engineering Computations, 4(3), 437-446.
Tripathy, C. K., & Pradhan, L. M. (2010). An EOQ model for Weibull deteriorating items with power demand and partial backlogging. International Journal of Contemporary Mathematical Sciences, 5(38), 1895-1904.
Tripathi, R. P., Misra, S. S., & Shukla, H. S. (2010). A cash flow oriented EOQ model under permissible delay in payments. International Journal of Engineering, Science and Technology, 2(11), 123-131.
Tripathi, R. P., Pareek, S., & Kaur, M. (2017). Inventory Model with Exponential Time-Dependent Demand Rate, Variable Deterioration, Shortages and Production Cost. International Journal of Applied and Computational Mathematics, 3(2), 1407-1419.
Tripathi, R. P. (2016). Optimal Ordering Policy for Deteriorating Items Under Price Sensitive Demand Scheme. International Journal of Applied and Computational Mathematics, 1-17.
Ukil, S. I., Islam, M. E., & Uddin, M. S. (2015). A Production Inventory Model of Power Demand and Constant Production Rate Where the Products Have Finite Shelf-Life. Journal of Service Science and Management, 8(06), 874.
Vipin, K., Gopal, P., & Gupta, C.B. (2013). A deterministic inventory model for deteriorating items with selling price dependent demand and parabolic time varying holding cost under trade credit. International Journal of Soft Computing and Engineering (IJSCE), 3, 33-37.
Vinod, K. M., Lal, S. S., & Rakesh, K. (2013). An inventory model for deteriorating items with time-dependent demand and time-varying holding cost under partial backlogging. Journal of Industrial Engineering International, 9, 1-5.