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The IUP Journal of Operations Management :
Supply Chain Model in a Multi-Echelon System with Inflationary Implications
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The present study, formulates a multi-echelon supply chain network with a single producer, multi-distributors and multi-retailers for a deteriorating inventory during a finite planning horizon. The inventory levels of the producer and the distributors are assumed to be decreasing by discrete amounts instead of a continuous decrease as assumed in most of the literature available. This discreteness is an application of real life situation where the stocks deplete by discrete amounts and not continuously. The stock is assumed to undergo deterioration as soon as it is produced. The production rate has been specified as demand dependent to take into consideration the market forces also. The whole study has been done in an inflationary environment to impart economic feasibility to the model.

 
 

The series of firms that eventually make products and services available to consumers, including all the functions enabling the production, delivery and recycling of the materials, components, end products and services, is a supply chain. All products reach the consumers via some kind of supply chain, some much larger and complicated than the others. When individual firms in the supply chain make business decisions that ignore the interests of other chain members, then this sub-optimization only transfers costs and additional waiting time along the supply chain. This ultimately leads to higher end-product prices, lower supply chain service levels, and consequently lower end-customer demand. For this reason, supply chain management definitely needs some extra concern on the part of the managers. Supply chain management is the systematic, strategic coordination of the traditional business functions and the tactics across these functions within a particular company and across businesses within the supply chain for the purposes of improving the long-term performances of the individual companies and the supply chain as a whole.

The idea of joint total cost of the supplier and the customer was first introduced by Goyal (1976). Later, Cohen and Lee (1988) put forward a model for determining material requirement for all materials at every stage in the supply chain. Pake and Cohen (1993) extended the above study to consider for stochastic sub systems to explore the supply chain system. Gyana and Bhabha (1999) explored a single manufacturing system for procurement of raw materials with a multi-ordering policy that minimizes the total inventory costs of both the raw materials and the finished goods. Rau et al. (2003) investigated a multi-echelon supply chain for a deteriorating item to derive an optimal joint total cost from an integrated perspective among the supplier, the producer and the buyer. Wee and Yang (2004) developed a heuristic solution model for a producer-distributors-retailers inventory system using the principle of strategic partnership. Jaber et al. (2006) used the principles of thermodynamics to estimate entropy cost in a two level supply chain coordination context. Ahmed et al. (2007) have recently coordinated a two level supply chain in which they considered production interruptions for restoring of the quality of the production process.

The concept of inflation is not new to the world. Inflation refers to a continuous rise in the prices of goods and services. It can also be defined as too much currency chasing too few commodities leading to a general increase in the price levels. Buzacott (1975), Misra (1979), and Chandra and Bahner (1985) are amongst the first few who studied the concept of inflation with regard to inventory. The effects of inflation on a permissible delay model were studied by Liao et al. (2000). Chung and Lin (2001) investigated a deteriorating inventory replenishment problem over a finite planning horizon. They developed their model taking both complete backlogging and without backlogging in an inflation affected environment. Chang (2004) deliberated the effects of inflation on an Economic Order Quantity (EOQ) model when the supplier permits a delay in payment by the retailer if the retailer orders a large quantity. Hou (2006) derived an inventory model for deteriorating items with stock-dependent consumption rate and shortages under inflation and time discounting over a finite planning horizon. Lo et al. (2007) developed an integrated production and inventory model from the perspectives of both the manufacturer and the retailer assuming a varying rate of deterioration, partial backordering, inflation, imperfect production processes and multiple deliveries. Singh and Jain (2007) studied the effects of inflation on a two warehouse inventory model with a bulk release rule. Singh and Jain (2008) deliberated the effects of inflation on an inventory model with Weibull deterioration and partial backlogging.

 
 

Operations Management Journal, Supply Chain Model, Multi-Echelon System, Inflationary Implications, Manufacturing Systems, Warehouse Inventory Model, Economic Order Quantity Model, Production Process, Supply Chain Management, Total Inventory Costs.