An integer optimization model and algorithms to support the cost-revenue study and provisory designing warehouses or other storage objects
Mikalai Miatselski
Bożena Staruch
Bogdan Staruch
Abstract
An optimization model for the cost–revenue study at the stage of system analysis and preliminary designs of storage objects such as warehouses, containers, packs and similar objects are developed. Our assumptions motivated by warehouses design lead us to a nonlinear integer optimization problem with the only basic constraint. We present algorithmic methods for obtaining the exact solution to the general problem with emphasizing the special case when both the objective and the constraint functions are increasing. The results of the paper may be used in developing software tools intended for supporting designers.
Keywords:
warehouse design, cost-revenue recognition, state space, model, algorithm, nonlinear programming, integer programmingReferences
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MECALUX https://www.mecalux.com
LOGISTICS BUREAU https://www.logisticsbureau.com
IBARAKI T., KATOH N. 1988. Resource allocation problems: algorithmic approaches. MIT Press, Cambridge, Mass
KELLERER H., PFERSCHY U., PISINGER D. 2004. Knapsack Problems. Springer Science & Business Media
LI, DUAN, SUN XIAOLING. 2006. Nonlinear Integer Programming. International Series in Operations Research & Management
SINGH S. P., SHARMA R. R. K. 2006. A review of different approaches to the facility layout problems. The International Journal of Advanced Manufacturing Technology 30, 425–433.
VAN CAMP D. CARTER M., VANNELLI A. 1991. A nonlinear optimization approach for solving facility layout problems. European Journal of Operations Research 57, 174–189.
MECALUX https://www.mecalux.com
LOGISTICS BUREAU https://www.logisticsbureau.com
Miatselski, M., Staruch, B., & Staruch, B. (2018). An integer optimization model and algorithms to support the cost-revenue study and provisory designing warehouses or other storage objects. Technical Sciences, 21(4), 257–269. https://doi.org/10.31648/ts.3963
Mikalai Miatselski
Bożena Staruch
Bogdan Staruch
