Supply Chain Coordination Under Service Level Constraint and Controllable Lead Time

Author(s):  
Prashant Jindal ◽  
Anjana Solanki

This paper investigates the coordination issue in a decentralized supply chain having a vendor and a buyer for a defective product. The authors develop two inventory models with controllable lead time under service level constraint. The first one is propose under decentralized mode based on the Stackelberg model, the other one is propose under centralized mode of the integrated supply chain. Ordering cost reduction is also including as a decision variable along with shipping quantity, lead time and number of shipments. Computational findings using the software Matlab 7.0 are provided to find the optimal solution. The results of numerical examples show that centralized mode is better than that of decentralized mode, and to induce both vendor and buyer for coordination, proposed cost allocation model is effective. The authors also numerically investigate the effects of backorder parameter on the optimal solutions. Benefit of ordering cost reduction in both models is also provided.

Mathematics ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 911 ◽  
Author(s):  
Asif Iqbal Malik ◽  
Biswajit Sarkar

The necessity of coordination among entities is essential for the success of any supply chain management (SCM). This paper focuses on coordination between two players and cost-sharing in an SCM that considers a vendor and a buyer. For random demand and complex product production, a flexible production system is recommended. The study aims to minimize the total SCM cost under stochastic conditions. In the flexible production systems, the production rate is introduced as the decision variable and the unit production cost is minimum at the obtained optimal value. The setup cost of flexible systems is higher and to control this, a discrete investment function is utilized. The exact information about the probability distribution of lead time demand is not available with known mean and variance. The issue of unknown distribution of lead time demand is solved by considering a distribution-free approach to find the amount of shortages. The game-theoretic approach is employed to obtain closed-form solutions. First, the model is solved under decentralized SCM based on the Stackelberg model, and then solved under centralized SCM. Bargaining is the central theme of any business nowadays among the players of an SCM to make their profit within a centralized and decentralized setup. For this, a cost allocation model for lead time crashing cost based on the Nash bargaining model with the satisfaction level of SCM members is proposed. The cost allocation model under Nash bargaining achieves exciting results in SCM coordination.


Author(s):  
Nughthoh Arfawi Kurdhi ◽  
Livvia Paradisea Santoso ◽  
Sri Sulistijowati Handajani ◽  
Titin Sri Martini

This paper presents a coordinated vendor-buyer supply chain model in two stages with imperfect quality items, lead time and ordering cost reduction, and service level constraint. It is assumed that each arrival lot received by the buyer contains a percentage of imperfect quality items which follows a uniform distribution. A 100% screening process for detecting the defective items is conducted. Lead time crashing cost and investment for ordering cost reduction follow power function distribution. The shortage during the lead time is permitted and backordered partially for the buyer. However, the level of shortage is limited by service level constraint policy. The optimal order quantity, reorder point, lead time, ordering cost, and the number of delivery are determined by the Lagrange method such that joint total cost of the system is minimized and the service level constraint is satisfied. An iterative procedure is developed to determine the optimal solution and a numerical example is presented to illustrate the result of the proposed model.


2020 ◽  
Vol 54 (5) ◽  
pp. 1327-1346 ◽  
Author(s):  
S. Tharani ◽  
R. Uthayakumar

This paper presents a novel approach to safety stock management and investigates the impact of lead time reduction within an integrated vendor–buyer supply chain framework using present value where lead time and ordering cost reductions act dependently. In particular, the cost of the safety stock is determined by adopting a logistic approximation to the standard normal cumulative distribution. The service level is formulated in relation to the dimension of the single shipment, to the average demand of the buyer and to the number of admissible stockouts. We first discuss the case where the lead time and ordering cost reductions with linear function, and then consider the logarithmic functional relationship. Numerical examples including the sensitivity analysis with some managerial insights of system parameters is provided to validate the results of the supply chain models. The main contribution of this paper is introducing various types of ordering cost reduction in Braglia et al. (Appl. Stoc. Mod. Bus. Ind. 32 (2016) 99–112) by handling a new approach.


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