Comparison of Integer Linear Programming and Dynamic Programming Approaches for ATM Cash Replenishment Optimization Problem


Ozer F., TOROSLU İ. H. , KARAGÖZ P.

INTERNATIONAL JOURNAL OF APPLIED METAHEURISTIC COMPUTING, cilt.11, sa.3, ss.120-132, 2020 (ESCI İndekslerine Giren Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Konu: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.4018/ijamc.2020070107
  • Dergi Adı: INTERNATIONAL JOURNAL OF APPLIED METAHEURISTIC COMPUTING
  • Sayfa Sayıları: ss.120-132

Özet

With the automated teller machine (ATM) cash replenishment problem, banks aim to reduce the number of out-of-cash ATMs and duration of out-of-cash status. On the other hand, they want to reduce the cost of cash replenishment, as well. The problem conventionally involves forecasting ATM cash withdrawals, and then cash replenishment optimization based on the forecast. The authors assume that reliable forecasts are already obtained for the amount of cash needed in ATMs. The focus of the article is cash replenishment optimization. After introducing linear programming-based solutions, the authors propose a solution based on dynamic programming. Experiments conducted on real data reveal that the proposed approach can find the optimal solution more efficiently than linear programming.