scholarly journals Integrated Inventory Model for Single Vendor Multi-Buyer with a Single Item by Considering Warehouse and Capital Constraint

2021 ◽  
Vol 22 (1) ◽  
pp. 71-84
Author(s):  
Agustiandi Agustiandi ◽  
Yoon Mac Kinley Aritonang ◽  
Cherish Rikardo

Integrated inventory management coordinates all party's replenishment policies to provide optimal benefits. Many models have been developed, but none of them have considered capital and warehouse constraints comprehensively. It may cause the model which cannot be applied, since it has exceeded the capacity. This study developed an integrated inventory model that consisted of one vendor, multi-buyer, and one type of item. The main objective was to minimize the joint total expected cost by considering warehouse, capital, and service level constraint. The optimal formula was constructed by using the Lagrange multipliers method.  The results showed that with an increment in holding cost, the vendor tends to reduce lot size to minimize joint total expected cost. It is vice versa to the increment in set up cost. An increment in buyer service level can increase lot size and reduce order frequency. The buyer capacity is essential to determine its capability to apply the optimal replenishment policy.

Author(s):  
Ming-Feng Yang ◽  
Yi Lin

This study explores the feasibility of applying an integrated inventory model with the consideration of incorporating production programs and maintenance to an imperfect process involving a deteriorating production system. The main target of this research is to build an integrated inventory model with the issues of backorder and repair. Additionally, our proposed model tries to provide an optimal number of shipments m and lower cost. Furthermore, this article offers the detailed discussion of two preventive maintenances of the production run period which are named as perfect preventive maintenance and imperfect preventive maintenance. Also, in this study, we develop various special cases that consider the failure rate such as Weibull, geometric and learning effect. Based on the results, the demand and production ratio influences the holding cost and purchase cost and has the highest impact on the integrated model.


2021 ◽  
Author(s):  
Novrianty Rizky ◽  
Ivan Darma Wangsa ◽  
Wakhid Ahmad Jauhari ◽  
Hui Ming Wee

Abstract This study develops a sustainable integrated inventory model for controllable lead time with defective items, errors in inspection, and variable lead-time. The research investigates the effect of controlling lead time and capital investment in the setup cost. We assume that the buyer receives a lot size that may contain some defective items with a known defective probability. The buyer’s inspector conducts a 100% quality inspection and may incorrectly classify a non-defective item as a defective item (type one (I) error), or incorrectly classify a defective item as a non-defective item (type two (II) error). The mathematical inventory model considering carbon emission cost is developed, and the solution procedure is designed to derive the optimal solution. Finally, numerical examples and sensitivity analysis are given to illustrate the results.


2013 ◽  
Vol 3 (2) ◽  
Author(s):  
Jalesviva Joy ◽  
Docki Saraswati ◽  
Rahmi Maulidya

<p>This paper considers the integrated inventory model, where the ordering lot is no longer<br />determined by the buyer, but it is determined by both parties in order to minimize the total<br />inventory cost. There are three approaches in determining the joint lot size: Joint Economic Lot<br />Size (JELS), Joint Economic Lot Size with Bargaining Game, and Joint Economic Lot Size with<br />Consignment. On JELS with Bargaining Games, the manufacturer will offer rebates to the<br />buyer, since buyer will be at the disadvantage side if the manufacturer only offers JELS.<br />Furthermore, on model JELS with Consignment, the manufacturer will own the product until it<br />is used by the buyer. Using JELS, manufacturer makes a savings of 8.73% while the buyer<br />suffered a loss of 3.37%. The result of using the JELS with Bargaining Game will give the<br />manufacturer a savings of 6.63%, while the inventory cost for the buyer is the same with the<br />initial condition (individually). This paper concludes that using the JELS with consignment will<br />provide savings to the manufacturer as well as for the whole system.</p>


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