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Malik, A. K.
- A Trade Credit Inventory Model with Multivariate Demand for Non-Instantaneous Decaying products
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Authors
Affiliations
1 Department of Computer Science Engineering, B. K. Birla Institute of Engineering and Technology, CEERI Road, Pilani - 333031, Rajasthan, IN
2 Department of MCA, B. K. Birla Institute of Engineering and Technology, CEERI Road, Pilani - 333031, Rajasthan, IN
3 Department of Mathematics, Birla Institute of Technology and Science, Pilani Campus, Vidya Vihar Pilani - 333031, Rajasthan, IN
4 Department of Mathematics, B. K. Birla Institute of Engineering and Technology, CEERI Road, Pilani - 333031, Rajasthan, IN
1 Department of Computer Science Engineering, B. K. Birla Institute of Engineering and Technology, CEERI Road, Pilani - 333031, Rajasthan, IN
2 Department of MCA, B. K. Birla Institute of Engineering and Technology, CEERI Road, Pilani - 333031, Rajasthan, IN
3 Department of Mathematics, Birla Institute of Technology and Science, Pilani Campus, Vidya Vihar Pilani - 333031, Rajasthan, IN
4 Department of Mathematics, B. K. Birla Institute of Engineering and Technology, CEERI Road, Pilani - 333031, Rajasthan, IN
Source
Indian Journal of Science and Technology, Vol 9, No 15 (2016), Pagination:Abstract
The present study proposed a mathematical example using multivariate demand with non-instant decaying products. For any business organization, the carrying cost is an important term to find total inventory cost. Here we consider the numerical example to get the best optimum solution for understanding the behavior of inventory model. We also used sensitivity analysis to show the effect of variation in total profit per item with respect to changes in the other constraints to illustrate the model. The scenario of today’s market is to encourage the retail dealers allowing them a delay in making the payments without them incurring any interest.Keywords
Inventory, Multivariate Demand, Non-Instantaneous Deterioration, Ordering Cost, Trade CreditFull Text
- An Inventory Model for Both Variable Holding and Sales Revenue Cost
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Authors
Affiliations
1 Department of Mathematics, D.N. (PG) College, Meerut, U.P, IN
2 Department of Computer Science, GRD Institute of Management and Technology Engineering College, Dehradun, U.K, IN
3 Department of Mathematics, B K Birla Institute of Engineering and Technology, Pilani, Rajasthan, IN
1 Department of Mathematics, D.N. (PG) College, Meerut, U.P, IN
2 Department of Computer Science, GRD Institute of Management and Technology Engineering College, Dehradun, U.K, IN
3 Department of Mathematics, B K Birla Institute of Engineering and Technology, Pilani, Rajasthan, IN
Source
Asian Journal of Management, Vol 8, No 4 (2017), Pagination: 1111-1114Abstract
This paper discusses the inventory models for non-instantaneously deteriorating items with stock dependent demand. The holding cost is the increasing function of time and sales revenue cost is taken as decreasing linear function of time. This consideration has enhanced developing mathematical model for optimal order quantity and the total profits value with respect to major parameters is approved out with the facilitate of numerical example.Keywords
Inventory, Time Dependant Increasing Holding Cost, Time Dependant Decreasing Sales Revenue Cost, Stock-Dependent Demand.
References
- Ghare, P.M. Schrader, G.P. (1963) A model for an exponentially decaying inventory. Journal of Industrial Engineering. 14, 5, 238-243.
- Gupta, R. and Vrat, P. (1986) Inventory model with multi-items under constraint systems for stock dependent consumption rate, Operations Research 24, 41–42.
- Wu, K.S., Ouyang, L.Y. and Yang, C.T. (2006) An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging, International Journal of Production Economics, 101, 369–384
- Roy, A. (2008) An inventory model for deteriorating items with price dependent demand and time varying holding cost, Advanced Modeling and Optimization. 10, 1, 25-37.
- Malik, A. K., Singh, S. R. and Gupta, C. B. (2008). An inventory model for deteriorating items under FIFO dispatching policy with two warehouse and time dependent demand, Ganita Sandesh Vol. 22, No. 1, 47-62.
- Geetha, K.V. and Uthayakumar R. (2010) Economic design of an inventory policy for non-instantaneous deteriorating items under permissible delay in payments, J. Comput. Appl. Math. 233, 2492–2505.
- Chang, C.T., J. T. and Goyal S. K. (2010) Optimal replenishment policies for non-instantaneous deteriorating items with stock-dependent demand, International Journal of Production Economics, Volume 123, 62–68.
- Sarkar, S., Sana, S.S. and Chaudhuri, K. (2010). A finite replenishment model with increasing demand under inflation, Int. J. Math. Oper. Res., 2(3), 347–385.
- Singh, S.R., Malik, A.K., (2010). Inventory system for decaying items with variable holding cost and two shops, International Journal of Mathematical Sciences, Vol. 9, No. 3-4, 489-511.
- Sana, S.S. (2010). Optimal selling price and lot size with time varying deterioration and partial backlogging, Appl. Math. Comput., 217, 185–194.
- Singh, S.R. and Malik, A.K. (2010). Optimal ordering policy with linear deterioration, exponential demand and two storage capacity, Int. J. Math. Sci., 9(3-4), 513–528.
- Malik, A.K., and Sharma, A. (2011).An Inventory Model for Deteriorating Items with Multi-Variate Demand and Partial Backlogging Under Inflation, International Journal of Mathematical Sciences, Vol. 10, No. 3-4, 315-321.
- Gupta K. K., Sharma, A., Singh, P. R. and Malik, A. K.(2013) Optimal Ordering Policy for Stock-dependent Demand Inventory Model with Non-Instantaneous Deteriorating Items, International Journal of Soft Computing and Engineering 3, 279-281.
- Sarkar B. and Sarkar, S. (2013) An improved inventory model with partial backlogging, time varying deterioration and stock-dependent demand, Economic Modelling, 30, 924–932.
- Singh, Y., Malik, A. K. and Kumar S. (2014). An Inflation Induced Stock-Dependent Demand Inventory Model with Permissible delay in Payment, International Journal of Computer Applications, Vol. 96, No., 25, 14-18.
- Yang, S., Hong, K. and Lee C. (2014) Supply chain coordination with stock-dependent demand rate and credit incentives, International Journal of Production Economics, 157,105–111.
- Chang, C. T, Cheng, M.C. and Ouyang, L. Y. (2015) Optimal pricing and ordering policies for non-instantaneously deteriorating items under order-size-dependent delay in payments, Applied Mathematical Modelling, 39, 747–763.
- Vashisth, V., Tomar, Ajay, Soni, R. and Malik, A. K. (2015). An Inventory Model for Maximum Life Time Products under the Price and Stock Dependent Demand Rate, International Journal of Computer Applications 132 (15), 32-36.
- Vashisth, V., Tomar, Ajay, Shekhar, C. and Malik, A. K. (2016) A Trade Credit Inventory Model with Multivariate Demand for Non-Instantaneous Decaying products, Indian Journal of Science and Technology, Vol. 9, No., 15, 1-6.
- Malik, A. K., Tomar, A. and Chakraborty D. (2016). Mathematical Modelling of an inventory model with linear decreasing holding cost and stock dependent demand rate, International Transactions in Mathematical Sciences and Computers, Vol. 9, 97-104.
- Kumar, S., Malik, A. K., Sharma, A., Yadav, S. K. and Singh, Y. (2016) An Inventory Model with linear holding cost and Stock-Dependent Demand for Non-Instantaneous Deteriorating Items, AIP Conference Proceedings 1715, 020058 (2016); doi: 10.1063/1.4942740.
- Malik, A. K., Shekhar, C., Vashisth, V., Chaudhary, A.K., and Singh, S. R. (2016) Sensitivity analysis of an inventory model with non-instantaneous and time-varying deteriorating Items, AIP Conference Proceedings 1715, 020059, doi: 10.1063/1.4942741.
- Malik, A. K. Malik, Singh, P. R., Tomar, A., Kumar, S. and Yadav, S. K. (2016) Analysis of an Inventory Model for Both Linearly Decreasing Demand and Holding Cost, AIP Conference Proceedings 1715, 020063; doi: 10.1063/1.4942745.
- Quadratic Demand Based Inventory Model with Shortages and two Storage Capacities System
Abstract Views :155 |
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Authors
Affiliations
1 Department of Mathematics, B.K. Birla Institute of Engineering and Technology, Pilani, Rajasthan, IN
2 Department of Mathematics, Singhania University, Pacheribadi, Jhunjhunu Rajasthan, IN
3 Department of Mathematics, D. N. College, Meerut, U.P., IN
1 Department of Mathematics, B.K. Birla Institute of Engineering and Technology, Pilani, Rajasthan, IN
2 Department of Mathematics, Singhania University, Pacheribadi, Jhunjhunu Rajasthan, IN
3 Department of Mathematics, D. N. College, Meerut, U.P., IN
Source
Research Journal of Engineering and Technology, Vol 8, No 3 (2017), Pagination: 213-218Abstract
In this paper, a quadratic demand based deterministic inventory control model having shortages with two storage capacities system is developed. Inventory is a multi-model business environment for an industry or any business organization. Propose an applicable mathematical model used different technical, constant and variable parameters are assumed like storage capacity, carrying cost, deterioration cost and backlogging cost. Here we take the range of the inventory cycle to get the minimizing complete inventory cost includes positive and negative inventory level. Further, complexity and non-linearity of the developed mathematical model, optimizing techniques are used to solve this and by the help of an example to demonstrate the parameters effects on total inventory cost.Keywords
Quadratic Demand, Deterioration, Carrying Cost, Own Warehouse and Rent Warehouse.References
- Ghare, P.M. Schrader, G.P. A model for an exponentially decaying inventory. Journal of Industrial Engineering. 1963; 14, 5, 238-243.
- Hertely V. Ronald. On the EOQ model two levels of storage. Opsearch, 1976; 13, 190-196.
- Sarma, K.V.S. A deterministic order level inventory model for deteriorating items with two storage facilities. Eur. J. Oper. Res., 1987; 29, 70–73.
- Pakkala, T. and Acharya, K. A deterministic inventory model for deteriorating items with two warehouses and finite replenishment rate, European J. Oper. Res., 1992; 57, 71–76.
- Benkherouf, L. A deterministic order level inventory model for deteriorating items with two storage facilities. Int. J. Prod. Econ., 1997; 48, 167–175.
- Bhunia AK and Maiti M. A two-warehouse inventory model for deteriorating items with a linear trend in demand and shortages. J of the Opl Res Society, 1998; 49: 287-292.
- Lee, C. and Ma, C. Optimal inventory policy for deteriorating items with two-warehouse and time-dependent demands, Prod. Plan. and Cont., 2000; 11, 689–696.
- Yang, H. Two-warehouse inventory models for deteriorating items with shortage under inflation, European J. Oper. Res., 2004; 157, 344–356.
- Malik, A. K., Singh, S. R. and Gupta, C. B. An inventory model for deteriorating items under FIFO dispatching policy with two warehouse and time dependent demand, Ganita Sandesh, 2008; 22(1), 47-62.
- Lee, C.C. and Hsu, S. L., A two-warehouse production model for deteriorating inventory items with time-dependent demands, European J. Oper. Res., 2009; 194, 700-710.
- Singh, S.R., Malik, A.K., Effect of inflation on two warehouse production inventory systems with exponential demand and variable deterioration, International Journal of Mathematical and Applications, 2009; 2 (1-2), 141-149.
- Malik, A. K., Singh, S. R. and Gupta, C. B. Two warehouse inventory models with exponential demand and time-dependent backlogging rate for deteriorating items, Ganita Sandesh, 2009; 23(2), 121-130.
- Singh, S.R., Malik, A.K. Two warehouses model with inflation induced demand under the credit period, International Journal of Applied Mathematical Analysis and Applications, 2009; 4(1), 5970.
- Sarkar, S., Sana, S.S. and Chaudhuri, K. A finite replenishment model with increasing demand under inflation, Int. J. Math. Oper. Res., 2010; 2(3), 347–385.
- Gupta, C. B., Malik, A. K. and Singh, S. R. A Two Warehouse Inventory Model for Deteriorating Items with Demand Dependent Production, Ganita Sandesh, 2010; 24(1), 55-62.
- Sana, S.S. Optimal selling price and lot size with time varying deterioration and partial backlogging, Appl. Math. Comput. 2010; 217, 185–194.
- Singh, S.R., Malik, A.K., Inventory system for decaying items with variable holding cost and two shops, International Journal of Mathematical Sciences, 2010; 9(3-4), 489-511.
- Singh, S.R. and Malik, A.K. Optimal ordering policy with linear deterioration, exponential demand and two storage capacity, Int. J. Math. Sci., 2010; 9(3-4), 513–528.
- Singh, S.R., Malik, A.K., and Gupta, S. K. Two Warehouses Inventory Model with Partial Backordering and Multi-Variate Demand under Inflation, International Journal of Operations Research and Optimization, 201l; 2(2) 371-384.
- Singh, S.R., Malik, A.K., and Gupta, S. K. Two Warehouses Inventory Model for Non-Instantaneous Deteriorating Items With Stock-Dependent Demand, International Transactions in Applied Sciences, 2011; 3(4) 749-760.
- Seth, B. K., Sarkar, B., Goswami A. A two-warehouse inventory model with increasing demand and time varying deterioration. Scientia Iranica, E, 2012; 19, 1969-1977.
- Gupta, K. K., Sharma A., Singh P. R. and Malik, A. K. Optimal Ordering Policy for Stock-dependent Demand Inventory Model with Non-Instantaneous Deteriorating Items, International Journal of Soft Computing and Engineering, 2013; 3(1), 279-281.
- Singh, Y., Malik, A. K. and Kumar, S. An Inflation Induced Stock-Dependent Demand Inventory Model with Permissible delay in Payment, International Journal of Computer Applications, 2014; 96(25), 14-18.
- Vashisth, V. Tomar, A., Soni, R., Malik, A. K. An Inventory Model for Maximum Life Time Products under the Price and Stock Dependent Demand Rate, International Journal of Computer Applications, 2015; 132 (15), 32-36.
- Vashisth, V., Soni, R., Jakhar, R., Sihag, D., and Malik, A. K. A Two Warehouse Inventory Model with Quadratic Decreasing Demand and Time Dependent Holding Cost, AIP Conference Proceedings 1715, 2016; 020066; doi: 10.1063/1.4942748.
- Vashisth, V., Tomar, A., Shekhar, C. and Malik, A. K. A Trade Credit Inventory Model with Multivariate Demand for NonInstantaneous Decaying products, Indian Journal of Science and Technology, 2016; 9(15), 1-6.