In this paper, we focus on the intermediate nodes of network and quantification of level of commodity and its cost on each node because intermediate nodes have stocking capacities which we generally see in the supply chain network. The commodity is supplied from a node to node in response to the power form of demand at a particular time. Since the traffic intensity of the demand of commodity also affects the flow of the commodity in the network, hence study of flow of commodity in the network is believed to be a significant contribution in this area. Several cases of quantifying the level of commodity in different situations as well as the cost analysis of incoming and outgoing commodity at a particular node have been thoroughly discussed in the paper. The present problem, presumably seeks to contribute to managerial decision making in supply chain network.
Ahuja, R.K., Magnanti, T.L. and Orlin, J.B. (1993) Network Flows: Theory, Algorithms and Applications. Prentice Hall, Englewood Cliffss, NJ.
[3]
Bertsekas, D. and Gallager, R. (1992) Data Networks. 2nd Edition, Prentice Hall, Englewood Cliffs, New Jersey.
[4]
Mishra, S.S. and Mishra, P.P. (2012) Phase Wise Supply Chain Model of EOQ with Normal Life Time for Queued Customers: A Computational Approach. American Journal of Operation Research, 2, 296-307. https://doi.org/10.4236/ajor.2012.23036
[5]
Mishra, S.S. and Singh, P.K. (2011) Computational Approach to an Economic Order Quantity Model with Power form Stock Dependent Demand and Cubic Deterioration. American Journal of Operation Research, 1, 5-13.
[6]
Mishra, S.S. and Mishra, P.P. (2011) A (Q, R) Model for Fuzzyfied Deterioration under Cobweb Phenomenon and Permissible Delay in Payment. Computers and Mathematics with Applications, 61, 921-932.
https://doi.org/10.1016/j.camwa.2010.12.040
[7]
Mishra, S.S., Yadav, S.K. and Rawat, S. (2015) Inventory Flow in Supply Chain with Deteriorating Items for Customer in Queue: Computation of Profit Optimization in Fuzzy Environment. American Journal of Operations Research, 5, 1-8.
[8]
Jose, L., Yu, M. and Rexford, J. (2011) Online Measurement of Large Traffic Aggregates on Commodity Switches. Princeton University, Princeton.
[9]
Gill, P., et al. (2008) Network Information Flow in Network of Queues. IEEE International Symposium on Modeling, Analysis and Simulation of Computers and Telecommunication Systems, MASCOTS 2008, Baltimore, 8-10 September 2008, 1-8.
[10]
Thomas, C., et al. (2012) A Passive Measurement System for Network Test Beds. Book on Lecture Notes of the Institute for Computer Sciences, Social Informatics a Telecommunications Engineering, 44, 130-145.
https://doi.org/10.1007/978-3-642-35576-9_14
[11]
Narasimhan, T.N. (1999) Fourier’s Heat Conduction Equation: History, Influence, and Connections. Reviews of Geophysics, 37, 151-172.
https://doi.org/10.1029/1998RG900006
[12]
Farlow, S.J. (1993) Partial Differential Equations for Scientists and Engineers. Dover, Mineola.
[13]
Sifaleras, A. (2013) Minimum Cost Network Flows: Problems, Algorithms and Software. Yugoslav Journal of Operation Research, 23, 3-17.
https://doi.org/10.2298/YJOR121120001S
[14]
Fonoberova, M. and Rebennack, F.S. (2010) Alogorithms for Finding Optimal Flows in Dynamic Networks. In: Rebennack, S., Pardalos, P.M., Pereira, M.V.F. and Iliadis, N.A., Eds., Handbook of Power System II, Springer, Berlin, 31-54.
https://doi.org/10.1007/978-3-642-12686-4_2
[15]
Fonoberova, M. and Lozovanu, D.D. (2005) The Minimum Cost Multicommodity Flow Problem in Dynamic Networks and an Algorithm for Its Solving. Computer Science Journal of Moldova, 13, 29-36.
[16]
Sisman, B. (2012) Supply Chain Network Design Considering Customer Service Level. Proceeding of the International Conference on Industrial Engineering and Operations Management, Istanbul, 3-6 July 2012, 2250-2258.
[17]
Shah, R. and Ward, P.T. (2009) Defining and Developing Measures of Lean Production. The TQM Journal, 21, 127-142.
[18]
Mishra, S.S., Mishra, P.P. and Sharma, S.K. (2012) Trait Analysis of Investment Packages as Using Computational Technique: A Case Study of Insurance Companies. ESMSJ, 2, 22-28.
[19]
Mishra, S.S. and Mishra, P.P. (2008) Price Determination for an Economic Order Quantity (EOQ) Model for Deteriorating Items under Perfect Competition. International Journal of Computer and Mathematics with Application, 56, 1082-1101.
https://doi.org/10.1016/j.camwa.2008.01.034
