scholarly journals Slotting Optimization Model for a Warehouse with Divisible First-Level Accommodation Locations

2021 ◽  
Vol 11 (3) ◽  
pp. 936
Author(s):  
Pablo Viveros ◽  
Katalina González ◽  
Rodrigo Mena ◽  
Fredy Kristjanpoller ◽  
Javier Robledo
Keyword(s):  
Mathematical Programming ◽  
Optimization Model ◽  
Assignment Problem ◽  
Storage Capacity ◽  
Programming Model ◽  
Complex Problem ◽  
Entry And Exit ◽  
Mathematical Programming Model ◽  
Multi Level ◽  
The Cost

Efficiency in supply chains is critically affected by the performance of operations within warehouses. For this reason, the activities related to the disposition and management of inventories are crucial. This work addresses the multi-level storage locations assignment problem for SKU pallets, considering divisible locations in the first level to improve the picking operation and reduce the travel times associated with the routes of the cranes. A mathematical programming model is developed considering the objective of minimizing the total travel distance, and in the background, maximizing the use of storage capacity. To solve this complex problem, we consider its decomposition into four subproblems, which are solved sequentially. To evaluate the performance of the model, two analysis scenarios based on different storage strategies are proposed to evaluate both the entry and exit distance of pallets, as well as the cost associated with the movements.

scholarly journals The Dual of a Cost Minimizing Linear Transshipment Model: An Economic Interpretation of an Assembly-Plant Processing-Distribution Network for a Firm

1974 ◽  
Vol 6 (1) ◽  
pp. 139-142 ◽  
Author(s):  
William. M. Holroyd
Keyword(s):  
Mathematical Programming ◽  
Programming Model ◽  
Mathematical Structure ◽  
Mathematical Programming Model ◽  
Transportation Model ◽  
Economic Interpretation ◽  
Plant Processing ◽  
The Cost ◽  
Linear Cost ◽  
Number Of Authors

The general economic meanings and mathematical structure of the dual of a primal mathematical programming model have been discussed for many years. However, within the mathematical programming realm, many interesting formulization variations have developed partly in response to variations in particulars of problems.A number of authors have discussed the economic meaning and mathematical structure of the primal of a linear cost minimizing transportation model. Some authors discussed the economic meaning and mathematical structure of the dual as well as the primal of the transportation model. Several authors discussed cost minimizing transshipment models. Recently, greater interest has been shown in specific economic meanings of the dual of the cost minimizing transshipment model.

scholarly journals A Mathematical Programming Model to Determine Objective Weights for the Interval Extension of TOPSIS

2018 ◽  
Vol 2018 ◽  
pp. 1-6 ◽  
Author(s):  
Hai Shen ◽  
Lingyu Hu ◽  
Kin Keung Lai
Keyword(s):  
Mathematical Programming ◽  
Input Data ◽  
Programming Model ◽  
Multiple Criteria Decision Making ◽  
Decision Makers ◽  
Mathematical Programming Model ◽  
Topsis Method ◽  
Data Set ◽  
Interval Extension ◽  
Interval Valued

Technique for Order Performance by Similarity to Ideal Solution (TOPSIS) method has been extended in previous literature to consider the situation with interval input data. However, the weights associated with criteria are still subjectively assigned by decision makers. This paper develops a mathematical programming model to determine objective weights for the implementation of interval extension of TOPSIS. Our method not only takes into account the optimization of interval-valued Multiple Criteria Decision Making (MCDM) problems, but also determines the weights only based upon the data set itself. An illustrative example is performed to compare our results with that of existing literature.

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