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Determination of EOQ in terms of optimum degrees of horizontal and vertical cooperation at a node of supply chain

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MISHRA P. P., ZIMIK C., BORKOTOKEY S.

Operations Research and Decisions

2022

vol. 32

issue 2

89-104

In a complex supply chain network, the production nodes, seller nodes, and buyers are connected randomly. We assume a process of joining two random nodes leading to the bivariate Poisson probability mass function. There exist two types of links - one is horizontal (H) and the other is vertical (V), which support the continuous flow of commodities through the supply chain. This induces competition among workers at a node to manage these two types of links within fixed constraints and creates bargaining to decide the optimal degree of both types of links at a node. We use the Nash security point to obtain the bargaining solution describing the optimal links. We reduce the carrying cost and ordering cost of inventory, which are contrary in their nature by introducing horizontal and vertical links, respectively. We modify the total cost function and establish a new economic order quantity (EOQ), optimal shortage quantity, and total optimal cost in terms of the optimal degree of H and V cooperation.

Application of a single sampling plan minimizing the sum of risks in an EOQ model with trade credit

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VEERAKUMARI K. P., HARIKRISHNAN A.

Operations Research and Decisions

2019

vol. 29

issue 1

121-130

Acceptance sampling by attributes is a universally used statistical tool for quality control. It is a technique that deals with the decision to accept or reject a batch of goods using defined procedures. An attribute single sampling plan designed under the assumption that the number of defects has a Poisson distribution is the optimal plan whenever the chance of a defect occurring in the manufacturing process is low. This study introduces the incorporation of an attribute single sampling plan minimizing the sum of risks with an economic order quantity (EOQ) model taking into account the possibility of trade credit. The plan ensures the effectiveness of the optimal design based on the minimization of costs including the inspection costs, stock holding costs and ordering costs.

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2 Operations Research and Decisions

1 BORKOTOKEY S.

1 HARIKRISHNAN A.

1 MISHRA P. P.

1 VEERAKUMARI K. P.

1 ZIMIK C.

1 2022

1 2019

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Determination of EOQ in terms of optimum degrees of horizontal and vertical cooperation at a node of supply chain

Application of a single sampling plan minimizing the sum of risks in an EOQ model with trade credit