Discounted multi-item inventory model via genetic algorithm with Roulette wheel selection, arithmetic crossover and uniform mutation in constraints bounded domains
- 20 August 2008
- journal article
- research article
- Published by Informa UK Limited in International Journal of Computer Mathematics
- Vol. 85 (9), 1341-1353
- https://doi.org/10.1080/00207160701536271
Abstract
Genetic Algorithm (GA) with different logic structures for price breaks has been developed and implemented for a multi-item inventory control system of breakable items like the items made of glass, mud, porcelain, etc. with all unit discount (AUD), incremental quantity discount (IQD) and a combination of these discounts. Here, AUD and IQD on purchasing price with two price breaks are allowed. Also, demand and breakability of the items are stock-dependent. Shortages are not allowed. Replenishment is instantaneous. Selling price is a mark-up of the purchasing cost. For storage, warehouse capacity is limited. For the present model, GA has been developed in real code representation using Roulette wheel selection, arithmetic crossover and uniform mutation. This algorithm has been implemented successfully to find the optimum order quantities for the above inventory control system to achieve the maximum possible profit. The algorithm and the inventory model have been illustrated numerically and some sensitivity analyses with respect to breakability and demand are presented.Keywords
This publication has 22 references indexed in Scilit:
- Applying genetic algorithms to dynamic lot sizing with batch orderingComputers & Industrial Engineering, 2006
- A genetic algorithm approach for multi-objective optimization of supply chain networksComputers & Industrial Engineering, 2006
- Production policy for damageable items with variable cost function in an imperfect production process via genetic algorithmMathematical and Computer Modelling, 2005
- Genetic algorithm optimisation of a class of inventory control systemsInternational Journal of Production Economics, 2000
- On the Constrained Multi‐item Single‐period Inventory ProblemInternational Journal of Operations & Production Management, 1993
- A Note on an Inventory Model with Inventory-level-dependent Demand RateJournal of the Operational Research Society, 1990
- Determining Optimal Selling Price and Lot Size When the Supplier Offers All‐Unit Quantity Discounts*Decision Sciences, 1988
- A Deterministic Inventory System with an Inventory-Level-Dependent Demand RateJournal of the Operational Research Society, 1988
- Joint Price and Lot-Size Determination When Supplier Offers Incremental Quantity DiscountsJournal of the Operational Research Society, 1988
- Multiple price breaks and alternative purchase lot-sizing procedures in material requirements planning systemsInternational Journal of Production Research, 1985